## Papers & talks

*(updated on August 2016)*

**PAPERS **

**(click here for my papers on arXiv)**

**(click here for my papers on Web of Science)**

( 2162 Google Scholar citations and h-index 23, 1874 SAO/NASA ADS citations and h-index 24, 1535 ISI citations and h-index 23 )

**51.-***Systematic construction of spin liquids on the square lattice from tensor networks with SU(2) symmetry.* M. Mambrini, R. Orus, D. Poilblanc [e-print:arXiv.1608.06003]

**50.-***The spin-1/2 Kagome XXZ model in a field: competition between lattice nematic and solid orders.* A. Kshetrimayum, T. Picot, R. Orus, D. Poilblanc [e-print:arXiv.1608.00437]

**49.-***Entanglement Continuous Unitary Transformations.* S. Sahin, K. P. Schmidt, R. Orus, [e-print:arXiv.1607.04645]

**48.-***Kitaev honeycomb tensor networks: exact unitary circuits and applications.* P. Schmoll, R. Orus, [e-print:arXiv.1605.04315]

**47.-***Symmetry-protected intermediate trivial phases in quantum spin chains.* A. Kshetrimayum, H.-Hao Tu, R. Orus, Physical Review B 93, 245112 (2016) [e-print:arXiv.1511.06338]

* 46.- Spin-S Kagome quantum antiferromagnets in a field with tensor networks. *T. Picot, M. Ziegler, R. Orus, D. Poilblanc , Physical Review B 93, 060407(R) (2016) [e-print:arXiv:1508.07189]

* 45.- The iPEPS algorithm, improved: fast full update and gauge fixing. *H. N. Phien, J. A. Bengua, H. D. Tuan, P. Corboz, R. Orus, Physical Review B 92, 035142 (2015) [e-print:arXiv:1503.05345]

**44.-***All spin-1 topological phases in a single spin-2 chain.* A. Kshetrimayum, H.-Hao Tu, R. Orus, Physical Review B 91, 205118 (2015) [e-print:arXiv:1412.3370]

**43.-** *Topological Minimally Entangled States via Geometric Measure.* O. Buerschaper, A. Garcia-Saez, R. Orus, T.-C. Wei, JSTAT P110099 (2014) [e-print:arXiv:1410.0484]

**42.-** *Advances on Tensor Network Theory: Symmetries, Fermions, Entanglement, and Holography.* R. Orus, European Physical Journal B 87, 280 (2014), [e-print:arXiv:1407.6552]

* 41.- Topological transitions from multipartite entanglement with tensor networks: sharper and faster.* R. Orus, T.-Chieh Wei, O. Buerschaper, A. Garcia-Saez, Physical Review Letters 113, 257202 (2014) [e-print:arXiv:1406.0585]

* 40.- A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States.* R. Orus, Annals of Physics

**349**(2014) 117–158 [e-print:arXiv:1306.2164]

**39.-** *Geometric Entanglement in Topologically Ordered States**. *R. Orus, T.-Chieh Wei, O. Buerschaper, M. van den Nest, New Journal of Physics **16**, 013015 (2014) [e-print:arXiv:1304.1339]

* 38.- Bounds on universal quantum computation with perturbed 2d cluster states. *R. Orus, H. Kalis, M. Bornemann, K. P. Schmidt, Physical Review A

**87**, 062312 (2013) [e-print:arXiv:1211.4054]

* 37.- Fate of the cluster state on the square lattice in a magnetic field.* H. Kalis, D. Klagges, R. Orus, K. P. Schmidt, Physical Review A

**86**, 022317 (2012) [eprint:arXiv:1205.5185]

*36.-** Comment on “Topological quantum phase transitions of attractive spinless fermions in a honeycomb lattice” by Poletti D. et al.* P. Corboz, S. Caponi, A. M. Läuchli, B. Bauer, R. Orus, EuroPhysics Letters

**98**, 27005 (2012) [eprint:arXiv:1204.4791]

* 35.- Exploring corner transfer matrices and corner tensors for the classical simulation of quantum lattice systems. *R. Orus, Physical Review B

**85**, 205117 (2012) [eprint:arXiv:1112.4101].

* 34.- Breakdown of a perturbed Z_N topological phase.* M. D. Schulz, S. Dusuel, R. Orus, J. Vidal, K. P. Schmidt, New Journal of Physics

**14**, 025005 (2012) [eprint:arXiv:1110.3632].

* 33.- Topological Geometric Entanglement.* R. Orus, T.-Chieh Wei [eprint:arXiv:1108.1537]

* 32.- Intermediate Haldane phase in spin-2 quantum chains with uniaxial anisotropy.* H.-Hao Tu, R. Orus, Physical Review B

**84**, 140407(R) (2011) [eprint:arXiv:1107.2911].

* 31.- Effective field theory for the SO(n) bilinear-biquadratic spin chain.* H.-Hao Tu, R. Orus, Physical Review Letters

**107**, 077204 (2011) [eprint:arXiv:1104.0494].

* 30.- Entanglement and SU(n) symmetry in one-dimensional valence bond solid states.* R. Orus, H.-Hao Tu, Physical Review B

**83**, 201101(R) (2011) [eprint:arXiv:1103.3994].

**29.-***Robustness of a perturbed topological phase.* S. Dusuel, M. Kamfor, R. Orus, K. P. Schmidt, J. Vidal, Physical Review Letters **106**, 107203 (2011) [eprint:arXiv:1012.1740].

* 28.- Phase diagram of the SO(n) bilinear-biquadratic chain from many-body entanglement. *R. Orus, T.-Chieh Wei,

*H.-Hao Tu, Physical Review B*

**84**, 064409 (2011) [e-print:arXiv:1010.5029].

* 27.- Implementing global Abelian symmetries in projected entangled-pair state algorithms. *B. Bauer, P. Corboz,

*R. Orus, M. Troyer, Physical Review B*

**81**, 165104 (2010) [e-print:arXiv:1010.3595].

**26.-** *Geometric entanglement of one-dimensional systems: bounds and scalings in the thermodynamic limit. *R. Orus, T.-Chieh Wei, Quantum Information and Computation, Vol. 11, No. 7&8 (2011), pp. 0563-0573 [e-print:arXiv:1006.5584]

* 25.- Simulation of strongly correlated fermions in two spatial dimensions with fermionic Projected Entangled-Pair States*. P. Corboz, R. Orus, B. Bauer, G. Vidal, Physical Review B

**81**165104 (2010) [e-print:arXiv:0912.0646].

**24.-** *Visualizing elusive phase transitions with geometric entanglement. *R. Orus, T.-Chieh Wei, Physical Review B **82 **155120 (2010) [e-print:arXiv:0910.2488].

**23.-** *Simulation of two dimensional quantum systems on an inﬁnite lattice revisited: corner transfer matrix for tensor contraction. *R. Orus, G. Vidal, Physical Review B **80 **094403 (2009), [e-print:arXiv:0905.3225].

* 22.- Finite-Size Geometric Entanglement from Tensor Network Algorithms. *Q.-Q. Shi, R. Orus, J. O. Fjaerestad, H.-Q. Zhou, New Journal of Physics

**12**025008, [e-print:arXiv:0901.2863].

* 21.- Numerical study of the hard-core Bose-Hubbard Model on an Infinite Square Lattice. *J. Jordan, R. Orus, G. Vidal

*,*Physical Review B

*, 174515 (2009), selected as*

**79***Editors’ Suggestion*[e-print:arXiv:0901.0420].

* 20.- First order phase transition in the anisotropic quantum orbital compass model.* R. Orus, A. C. Doherty, G. Vidal, Physical Review Letters

**102**, 077203 (2009) [e-print: arXiv:0809.4068].

* 19.- Geometric Entanglement in a One-Dimensional Valence Bond Solid State*. R. Orus, Physical Review A

**78**, 062332 (2008) [e-print: arXiv:0808.0938].

* 18.- Equivalence of critical scaling laws for many-body entanglement in the Lipkin-Meshkov-Glick model*. R. Orus, S. Dusuel, J. Vidal, Physical Review Letters

**101**, 025701 (2008) [e-print: arXiv:0803.3151].

* 17.- The iTEBD algorithm beyond unitary evolution.* R. Orus, G. Vidal, Physical Review B

**78**, 155117 (2008) [e-print: arXiv:0711.3960]

* 16.- Universal geometric entanglement close to quantum phase transitions.* R. Orus, Physical Review Letters

**100**, 130502 (2008); [e-print: arXiv:0711.2556]

*15.-* *Ground state fidelity from tensor network representations*. H-Q. Zhou, R. Orus, and G. Vidal, Physical Review Letters **100**, 080601 (2008) [e-print: arXiv:0709.4596]

* 14.- Classical simulation of infinite-size quantum lattice systems in 2 spatial dimensions*. J. Jordan, R. Orus, G. Vidal, F. Verstraete, and J. I. Cirac, Physical Review Letters

**101**, 250602 (2008) [e-print: cond-mat/0703788]

* 13.- Matrix Product States Algorithms and Continuous Systems*. S. Iblisdir, R. Orus, and J. I. Latorre, Physical Review B

**75**, 104305 (2007) [e-print: cond-mat/0610530]

* 12.- Entropy and Exact Matrix Product Representation of the Laughlin Wave Function*. S. Iblisdir, J. I. Latorre, and R. Orus, Physical Review Letters

**98**, 060402 (2007) [e-print: cond-mat/0609088]

* 11.- Half the entanglement in critical systems is distillable from a single specimen*. R. Orus, J. I. Latorre, J. Eisert, and M. Cramer, Physical Review A

**73**, 060303 (2006) [e-print: quant-ph/0509023]

* 10.- Simulation of many-qubit quantum computation with matrix product states*. M. C. Bañuls, R. Orus, J. I. Latorre, A. Perez, and P. Ruiz-Femenia, Physical Review A

**73**, 022344 (2006) [e-print: quant-ph/0503174]

* 9.- Two Slightly-Entangled NP-Complete Problems*. R. Orus, Quantum Information and Computation, Vol. 5, No. 6 (2005), pp. 449-455 [e-print: quant-ph/0502022]

* 8.- Entanglement and majorization in (1+1)-dimensional quantum systems. *R. Orus, Physical Review A

**71**, 052327 (2005), erratum-ibid

**73**, 019904 (2006) [e-print: quant-ph/0501110]

* 7.- Entanglement entropy in the Lipkin-Meshkov-Glick model*. J. I. Latorre, R. Orus, E. Rico, and J. Vidal, Physical Review A

**71**, 064101 (2005) [e-print: cond-mat/0409611]

* 6.- Weakly-entangled states are dense and robust*. R. Orus and R. Tarrach, Physical Review A

**70**, 050101 (2004) [e-print: quant-ph/0404100]

* 5.- Quantum Phase Transitions in Anti-ferromagnetic Planar Cubic Lattices. *C. Wellard and R. Orus, Physical Review A

**70**, 062318 (2004) [e-print: quant-ph/0401144]

* 4.- Universality of Entanglement and Quantum Computation Complexity*. R. Orus and J. I. Latorre, Physical Review A

**69**, 052308 (2004) [e-print: quant-ph/0311017]

* 3.- Adiabatic Quantum Computation and Quantum Phase Transitions. *J. I. Latorre and R. Orus, Physical Review A

**69**, 062302 (2004) [e-print: quant-ph/0308042]

* 2.- Systematic Analysis of Majorization in Quantum Algorithms*. R. Orus, J. I. Latorre and M. A. Martin-Delgado, European Physical Journal D

**29**, 119-132 (2004) [e-print: quant-ph/0212094]

* 1.- Natural Majorization of the Quantum Fourier Transformation in phase-estimation algorithms*. R. Orus, J. I. Latorre, and M. A. Martin-Delgado, Quantum Information Processing Volume

**1**Issue

**4**, 283-302 (2003) [e-print: quant-ph/0206134]

**BOOKS AND THESIS**

* 1.- Entanglement, Quantum Phase Transitions and Quantum Algorithms.* R. Orus, Ph.D. Thesis, University of Barcelona, 2006 (download)

**TALKS (invited, contributed and other)**

**(click here for my talks in PIRSA)**

**(click here for an introductory talk on PEPS)**

** **

* 112- Simulating 2d systems with PEPS,* International workshop on tensor networks and quantum many-body problems (TNQMP2016), ISSP, Kashiwa (Japan), July 1st 2016

* 111- From qubits to entanglement, and then to MPS,* International workshop on tensor networks and quantum many-body problems (TNQMP2016), ISSP, Kashiwa (Japan), June 30th 2016

* 110- Kitaev honeycomb tensor networks: exact unitary circuits and applications,* International workshop on tensor networks and quantum many-body problems (TNQMP2016), ISSP, Kashiwa (Japan), June 27th 2016

* 109.- Overview: from qubits to space-time,* Emergent properties of space-time, CERN (Switzerland), June 20th 2016.

* 108.- Kitaev honeycomb tensor networks: exact unitary circuits and applications,* MPI PKS, Dresden (Germany), June 9th 2016.

* 107.- What the hell is spin? (Or: unitary representations of the Poincare Group),* KOMET337 group meeting, Univ. Mainz (Germany), June 3rd 2016.

* 106.- Quantum information: from qubits to space-time,* 4-day course, Univ. Southampton (UK), May 23rd-25th 2016.

* 105.- Matter from entangled qubits: progress and perspectives in tensor networks,* Univ. Stuttgart (Germany), April 21st 2016.

* 104.- Overview of algorithms for 2d PEPS, Part 1: environment,* LPT, Univ. Paul Sabatier, Toulouse (France), April 5th 2016.

* 103.- Overview of algorithms for 2d PEPS, Part 1: optimization,* LPT, Univ. Paul Sabatier, Toulouse (France), March 16th 2016.

* 102.- Language Combinatorics as Matrix Mechanics: Mathematical Derivation and Properties,* Physics of Language, Sophia University, Tokyo (Japan), March 5th 2016.

* 101.- Linguistics, maths and physics: basics on vectors and matrices, analogies and beyond, and the Pauli-Chomsky group,* 3-day lectures in the course “Projecting from the Lexicon” by Juan Uriagereka, Univ. Autonoma de Barcelona (Spain) , January 11th, 12th and 14th 2016.

* 100.- *Matter from entangled qubits: progress and perspectives in tensor networks, Univ. Mainz (Germany), December 17th 2015.

* 99.-* A non-technical introduction to conformal field theory, Univ. Mainz (Germany), December 1st 2015.

* 98.- Infinite-PEPS: updates, CTMs, topological order, and all that, *Univ. Ghent (Belgium), October 21st 2015.

* 97.- Entanglement, tensor networks, and topological quantum order,* Univ. Princeton (USA), October 14th 2015.

**96.-***Entanglement, tensor networks, and topological quantum order,* Univ. Stonybrook (USA), October 12th 2015.

**95.-***Entanglement, tensor networks, and topological quantum order,* Korrelationstage 2015, MPI-PKS (Germany), September 30th 2015.

**94.-***Entanglement, tensor networks, and topological quantum order,* Topological Phases in Condensed Matter and Cold Atom Systems, Institut d’Études Scientifiques de Cargèse (France), September 10th 2015.

**93.-***Entanglement, tensor networks, and topological quantum order,* FU Berlin (Germany), July 16th 2015.

**92.-***Entanglement, tensor networks, and topological quantum order,* University of Cologne (Germany), July 10th 2015.

**91.-***Entanglement, tensor networks, and topological quantum order,* Workshop and Symposium on DMRG Technique for Strongly Correlated Systems in Physics and Chemistry, Natal (Brazil), June 25th 2015.

**90.-***Entanglement, tensor networks, and topological quantum order,* Mainz Miniworkshop, JGU, May 23rd 2015.

*89.-**The Heisenberg Model on the Kagome Lattice*, Group Workshop at Oberwesel (Germany), April 16th 2015 (replacing Marc Ziegler).

* 88.- Entanglement and Tensor Networks in Quantum Many-Body Systems*, Group Workshop at Oberwesel (Germany), April 14th 2015.

* 87.- Towards a complete characterization of 2d topological order using tensor networks and multipartite entanglement*, DPG Spring Meeting 2015 of the Condensed Matter Section, TU Berlin (Germany), March 19th 2015.

**86.-***Entanglement, tensor networks, and topological quantum order,* CNRS Toulouse (France), March 4th 2015

**85.-***Entanglement, tensor networks, and topological quantum order,* International Workshop on New Frontier of Numerical Methods for Many-Body Correlations, Methodologies and Algorithms for Fermion Many-Body Problems at the University of Tokyo (Japan), February 20th 2015.

**84.-***Topological transitions and minimally entangled states from multipartite entanglement with 2d PEPS*, Theoretical Nanophysics Group at LMU Müchen (Germany), January 9th 2015.

*83.-**Entanglement, tensor networks, and topological quantum order*, at FAU Erlangen-Nürnberg (Germany), January 7th 2015.

* 82.- Topological transitions and minimally entangled states from multipartite entanglement with 2d PEPS, *DESY Zeuthen (Germany), December 15th 2014.

* 81.- Topological transitions and minimally entangled states from multipartite entanglement with 2d PEPS, *Tensor Network States: Algorithms and Applications, at the Institute of Physics, Chinese Academy of Sciences (China), December 4th 2014.

* 80.- Topological transitions and minimally entangled states from multipartite entanglement with 2d PEPS, *TU Dortmund (Germany), October 22nd 2014.

* 79.- Introduction to Tensor Networks*, 4th Les Houches School in Computation Physics: From quantum gases to strongly correlated systems at École de Physique des Houches, Les Houches (France), July 4th 2014.

* 78.- Introduction to Tensor Networks* (4-day course), Universidad del Pais Vasco (Spain), June 10th-13th.

* 77.- Introduction to Tensor Networks*, School on computational methods in quantum materials at Jouvence (Canada), June 5th.

* 76.- Geometric entanglement in topologically ordered states: theory and numerics*, Mainz-Marburg Meeting, workshop at the Johannes Gutenberg-Universität (Germany), May 21st 2014.

*75.-**Introduction to Tensor Networks,* DPG Spring Meeting 2014 of the Condensed Matter Section, Tutorial Session ”Advanced Algorithms for Correlated Quantum Matter” at TU Dresden (Germany), March 30th 2014.

* 74.- Geometric entanglement in topologically ordered states: theory and numerics*, Universidad del Pais Vasco (Spain), March 17th 2014.

* 73.- Geometric entanglement in topologically ordered states: theory and numerics*, ICFO, Barcelona (Spain), February 28th 2014.

* 72.- Geometric entanglement in topologically ordered states: theory and numerics*, Universitat Autonoma de Barcelona (Spain), February 26th 2014.

* 71.- Geometric entanglement in topologically ordered states: theory and numerics*, Uiversitat de Barcelona (Spain), February 24th 2014.

* 70.- On the tensor network approach to quantum many-body systems*, 5th R-ION Meeting at Johannes Gutenberg Universität Mainz (Germany), November 12th 2013.

**69.-***2d infinite PEPS: recent results and future perspectives*, CMSI International Workshop 2013: Recent Progress in Tensor Network Algorithms at RIKEN Advanced Institute for Computational Science, Kobe (Japan), October 16th 2013.

* 68.- 2d topological order: robustness and multipartite entanglement*, talk at the Statistical Physics of Quantum Matter workshop at National Taiwan University, Taipei (Taiwan), July 29th 2013.

* 67.- Robustness of 2d Topological Order and Cluster States Using infinite PEPS*, talk at the Mainz-Marburg Meeting, workshop at the Universität Marburg (Germany), July 11th 2013.

* 66.- Entanglement and Tensor Networks to Understand Quantum Many-Body Systems*, talk at the Institutstreff, workshop at the Institut für Physik, Johannes Gutenberg Universität Mainz (Germany), July 4th 2013.

* 65.- Robustness of 2d topological order and cluster states using infinite PEPS*, talk at the Tensor network algorithms in computational physics and numerical analysis workshop at ETH, Zurich (Switzerland), May 17th 2013.

* 64.- 2d topological order: robustness and multipartite entanglement,* talk at the Benasque symposium on topological quantum information, Centro de Ciencias de Benasque Pedro Pascual, Benasque (Spain), February 15th 2013.

* 63.- Robustness of 2d topological order and cluster states using infinite Projected Entangled Pair States*, talk at the Mini-Workshop on Recent Developments on DMRG and TNS, National Taiwan University, Taipei (Taiwan), December 10th 2012.

* 62.- Introduction to PEPS*, tutorial given at the DMRG101 Winter School at National Taiwan University, Taipei (Taiwan), December 8th 2012.

** **

* 61.- Robustness of 2d topological order and cluster states using infinite Projected Entangled Pair States methods*, talk at the Workshop on Quantum Simulatons, Universidad del Pais Vasco, Bilbao (Spain), October 24th 2012.

*60.-**Robustness of 2d topological order and cluster states using infinite Projected Entangled Pair States methods*, talk at the ICE-0 Workshop de Información Cuántica en España at CSIC, Madrid (Spain), September 18th 2012.

*59.-**Robustness of 2d topological order and cluster states using infinite Projected Entangled Pair States methods*, talk at the MPQ Theory Group Workshop held at Friedrichshafen (Germany), September 15th 2012.

* 58.- Entanglement and tensor networks to understand quantum many-body systems*, talk at the Mathematics Department, Royal Holloway University of London, London (England), September 3rd 2012.

* 57.- Tips to apply for a Marie Curie International Incoming Fellowship*, talk given at the Regional Workshop for 2012 Marie Curie Fellowship proposers: “Finishing touch” for your proposal at the Max-Planck-Institut für Extraterrestrische Physik, Garching, (Germany), August 2nd 2012.

*56.*-* **Robustness of 2d topological order and cluster states using classical simulations with infinite Projected Entangled Pair States,*** **talk at LMU München (Germany), June 29th 2012.

*55.*-* **Studying the robustness of topological phases with infinite-PEPS and pCUT methods*, talk at the Universitat Autonoma de Barcelona, Barcelona (Spain), May 21st 2012.

*54.*-* **Studying the robustness of topological phases with infinite-PEPS and pCUT methods*, talk at the DMRG Gathering 2012, Erwin Schrödinger Institut for MAthematical Physics, Vienna (Austria), May 4th 2012.

*53.*-* **Studying the robustness of topological phases with infinite-PEPS and pCUT methods*, talk at the Universität Freiburg, Freiburg (Germany), March 21st 2012.

* 52.- Entanglement and tensor networks to understand quantum many-body systems*, talk at the École Polytechnique Fédérale de Lausanne (EPFL) (Switzerland), March 15th 2012.

* 51.- Entanglement and tensor networks to understand quantum many-body systems*, talk at the Johannes Gutenberg Universität Mainz (Germany), March 8th 2012.

* 50.- Continuous Unitary Transformations for Quantum Many-Body Systems*, talk at the Max-Planck Institut für Quantenoptik, Garching (Germany), February 1st 2012.

*49.*-* **Introduction to Tensor Networks*, talk at the Universität Würzburg (Germany), October 19th 2011.

*48.*-* **Studying the robustness of topological phases with infinite-PEPS and pCUT methods*, talk at the Max-Planck Institut für Quantenoptik, Garching (Germany), September 28th 2011.

*47.*-* **Studying the robustness of topological phases with infinite-PEPS and pCUT methods*, talk at the International Conference on Quantum Information Processing and Communication (QIPC) 2011, ETH, Zurich (Switzerland), September 8th 2011.

* 46.- Tips to apply for a Marie Curie International Incoming Fellowship*, talk (via video message) given at the Regional Workshop for 2011 Marie Curie Fellowship proposers: “Finishing touch” for your proposal at the Max-Planck-Institut für Extraterrestrische Physik, Garching, (Germany), July 28th 2011.

*45.-**Entanglement in many-body systems*, talk given at the Perspectives in quantum information, quantum optics and condensed matter, workshop at the Zum Gourmet Wellness Hotel, Seefeld (Austria), May 27th 2011.

*44.-**Robustness of a topological phase*, talk given at the Theoretical Nanophysics Group at LMU München (Germany), May 18th 2011.

*43.-**Introduction to MERA*, tutorial given at the Max Planck Institut Für Quantenoptik, Garching (Germany), April 7th 2011.

* 42.- Classical Simulations of Many-Body Systems with Infinite Projected Entangled Pair States*, talk given at the Workshop on Quantum Simulation, workshop held at the Centro de Ciencias de Benasque Pedro Pascual, Benasque (Spain), March 4th 2011.

* 41.- Introduction to tensor network algorithms*, tutorial given at the Max Planck Institut Für Quantenoptik, Garching (Germany), February 10th 2011.

* 40.- Introduction to tensor network algorithms*, tutorial given at the TU Dortmund, Dortmund (Germany), February 4th 2011.

* 39.- Infinite projected entangled pair states: properties and applications*, talk given at the TU Dortmund, Dortmund (Germany), February 2nd 2011.

* 38.- Robustness of a topological phase*, talk given at the 10a Trobada de Nadal de Fisica Teorica at the University of Barcelona (Spain), December 20th 2010.

**37.-***Simulating two-dimensional quantum systems on an inﬁnite lattice using Projected Entangled Pair States and Corner Transfer Matrices*, talk given at the XXIV IUPAP International Conference on Statistical Physics (Statphys 24), conference at the Convention Centre, Cairns (Australia), July 23rd 2010.

**36.-***Simulation of infinite-size 2D quantum lattice systems: corner transfer matrices and fermionic systems*, talk given at the Doppler Institute, Prague (Czech Republic), February 9th 2010.

**35.-***Simulation of infinite-size 2D quantum lattice systems: corner transfer matrices and fermionic systems*, talk given at the Tensor Network Workshop 2010, at the Max Planck Institut Fur Quantenoptik, Garching (Germany), January 29th 2010.

* *

**34.-***Simulation of infinite-size 2D quantum lattice systems: corner transfer matrices and fermionic systems*, talk given at the 9a Trobada de Nadal de Fisica Teorica, at the University of Barcelona (Spain), December 21st 2009.

* 33.- Simulation of infinite-size 2D quantum lattice systems: corner transfer matrices and fermionic systems,* talk given at the Institut de Ciencies Fotoniques (ICFO), Barcelona (Spain), December 18th 2009.

* 32.- Recent developments on the simulation of 2D quantum many-body systems with infinite projected entangled pair states*, contributed talk given at the 2009 Annual Statistical Mechanics Meeting, workshop held at the Mathematical Sciences Institute, The Australian National University, Canberra (Australia), December 1st 2009.

* 31.- Recent developments on the simulation of 2D quantum many-body systems with infinite projected entangled pair states*, talk given at the Quantum Simulation Group, University of Queensland, Brisbane (Australia), November 27th 2009.

* 30.- The corner transfer matrix revisited*, talk given at the Quantum Simulation Group, University of Queensland, Brisbane (Australia), May 24th and July 2nd 2009.

* 29.- Progress on infinite TPS/PEPS algorithms*, invited talk given at the conference Numerical Approaches to Quantum Many-body Systems at the Institute for Pure and Applied Mathematics (IPAM), University of California Los Angeles (UCLA) (USA), January 28th 2009.

* 28.- Quantum many-body systems and tensor networks: simulation methods and applications*, talk given at the Department of Physics and Astronomy, University of Southern California, Los Angeles (USA), January 19th 2009 (download slides in pdf).

* 27.- Quantum many-body systems and tensor networks: simulation methods and applications*, talk given at the Condensed matter department, Boston University, Boston (USA), January 15th 2009.

* 26.- Quantum many-body systems and tensor networks: simulation methods and applications*, talk given at the Max Planck Institut Fur Quantenoptik, Garching (Germany), January 8th 2009.

* 25.- First order phase transition in the anisotropic quantum orbital compass model*, talk given at the Quantum Information Group, University of Queensland, Brisbane (Australia), November 6th 2008.

**24.-***Quantum many-body systems and tensor networks: simulation methods and applications*, talk given at the Perimeter Institute for Theoretical Physics, Waterloo (Canada), October 8th 2008.

* 23.- Simulation of quantum many-body systems with tensor network methods*, talk given at the Physics Colloquium, University of Queensland, Brisbane (Australia), June 20th 2008.

* 22.- Entanglement and the simulation of 2D systems*, talk given at the

*Tensor network methods and entanglement in quantum maby-body systems*, workshop held at the Erwin Schroedinger Institut for Mathematical Physics (ESI), Vienna (Austria), January 17th 2008.

* 21.- Entanglement and the simulation of 2D systems*, talk given at the Institute of Quantum Optcs and Quantum Information (IQOQI), University of Innsbruck, Innsbruck (Austria), January 11th 2008.

* 20.- Entanglement and the simulation of 2D systems*, invited talk given at the

*Workshop on Simulation*at the University of Barcelona (Spain), January 3rd 200

*8.*

* 19.- Entanglement and the simulation of 2D quantum systems*, invited talk given at the

*7a Trobada de Nadal de Fisica Teorica*at the University of Barcelona (Spain), December 20th 2007.

* 18.- Entanglement and the simulation of 2D quantum systems*, talk given at the School of Physical Sciences, University of Queensand, Brisbane (Australia), October 30th 2007.

* 17.- Tensor networks and the numerical study of quantum and classical systems on infinite lattices*, talk given at the Quantum Information Group, University of Queensand, Brisbane (Australia), February 16th 2007.

* 16.- Tensor networks and the numerical study of quantum and classical systems on infinite lattices*, invited talk given at the

*6a Trobada de Nadal de Fisica Teorica*at the University of Barcelona (Spain), December 20th 2006.

* 15.- Entanglement, quantum phase transitions and quantum algorithms*. Ph.D. thesis presentation and defense at the University of Barcelona (Spain), July 20th 2006.

* 14.- Entanglement loss properties and classical simulability of quantum many-body systems*, talk given at the Quantum Information Group, University of Queensand, Brisbane (Australia), March 9th 2006.

* 13.- Basics on Renormalization and Conformal Field Theory*, tutorial given at the Quantum Information Group, University of Queensand, Brisbane (Australia), March 2nd and 7th 2006.

* 12.- Entanglement loss properties and classical simulability of quantum many-body systems*, talk given at the IBM Watson Research Center, Yorktown (U.S.), February 21th 2006.

* 11.- Entanglement loss properties and classical simulability of quantum many-body systems*, talk given at the Institute for Quantum Computing, University of Waterloo, Waterloo (Canada), February 13th 2006.

* 10.- Classical simulation of adiabatic quantum algorithms using matrix product states*, invited talk given at the

*Mathematical Aspects of Quantum Adiabatic Approximation Workshop*at the Perimeter Institute for Theoretical Physics, Waterloo (Canada), February 9th 2006.

* 9.- Entanglement loss properties and classical simulability of quantum many-body systems*, talk given at the Perimeter Institute for Theoretical Physics, Waterloo (Canada), February 6th 2006.

* 8.- Large-N entanglement-handled simulation of a quantum computer using PEPS*, talk given at the

*Informal Quantum Information Gathering (IQING) 2005*, at the Ecole Normale Superieure, Paris (France), July 23rd 2005.

* 7.- An introduction to (quantum) complexity theory*, talk given at the Max Planck Institut Fur Quantenoptik, Garching (Germany), May 4th 2005.

* 6.- Simulation of many-qubit quantum computation with matrix product states*, invited talk given at the

*Ringberg meeting*of the group of Prof. Ignacio Cirac at the Ringberg castle (Germany), April 6th 2005.

* 5.- Informacio i computacio quantiques*, invited talk given inside of the program of conferences

*Encontres amb el tercer cicle*at the University of Barcelona (Spain), October 14th 2004 (this talk was advertised in the science and technology section of the national spanish newspaper

*El Pais*on October 13th 2004).

* 4.- Entropy and Majorization in Quantum Spin Systems*, invited talk given at the interregional meeting Barcelona-Montpellier-Zaragoza, at the Departament d’Estructura i Constituents de la Materia of the University of Barcelona (Spain), September 17th 2004.

* 3.- Entropia de forats negres i correlacions quantiques, & robustesa de correlacions quantiques febles a sistemes de tres qubits*, DEA presentation at the University of Barcelona (Spain), June 30th 2004.

* 2.- News on Quantum Algorithms*, talk given at the Departament d’Estructura i Constituents de la Materia of the University of Barcelona (Spain), March 10th 2003.

* 1.- Majorization analysis of the quantum Fourier transformation in phase-estimation algorithms,* talk given at the Departament d’Estructura i Constituents de la Materia of the University of Barcelona (Spain), May 15th 2002.

**POSTERS**

* 16.- Geometric entanglement in topologically ordered states: theory and numerics*, Topological matter out of equilibrium, MPIPKS, Dresden (Germany), March 27th-29th 2014.

* 15.- Geometric entanglement in topologically ordered states: theory and numerics*, Entanglement detection and quantification, Bilbao (Spain), March 10th-13th 2014.

* 14.- Robustness of 2d cluster states*, at Entanglement Spectra in Complex Quantum Wavefunctions, workshop at the Max-Planck Institut of Complex Systems, Dresden (Germany), from November 12th 2012 to November 16th 2012.

* 13.- Studying the robustness of topological phases with infinite-PEPS and pCUT methods*, at Quantum Information meets Statistical Mechanics 2012, workshop held at Innsbruck (Austria), from September 21st 2012 to September 24th 2012.

* 12.- Studying the robustness of topological phases with infinite-PEPS and pCUT methods*, at Workshop on Synergies between Field Theory and Exact Computational Methods in Strongly Correlated Quantum Matter, workshop held at Trieste (Italy), from July 24th 2011 to July 29th 2011.

* 11.- Simulating two-dimensional quantum systems on an infinite lattice using Projected Entangled Pair States and Corner Transfer Matrices*, at MPQ-ICFO Workshop 2010, workshop held at St. Benet (Spain), from December 14th 2010 to December 17th 2010.

*10.- **Entanglement in many-body systems and infinite PEPS: recent developments and perspectives*, at *13th Workshop on Quantum Information Processing (QIP) 2010*, workshop held at ETH, Zurich (Switzerland), from January 15th 2010 to January 22nd 2010.

* 9.- Simulation of infinite 2D lattice systems with TPS/PEPS*, (poster presented by Jacob Jordan) at

*Quantum Frontiers Symposium 2009*, workshop held at the University of Queensland, Brisbane (Australia), from April 2nd 2009 to April 3rd 2009.

* 8.- Universal Geometric Entanglement Close to Quantum Phase Transitions*, at

*4th Asia-Pacific Conference in Quantum Information Science (APCQIS) 2008*, conference held at the Novotel Palm Cove Resort, Cairns (Australia), from July 2nd to July 5th 2008.

* 7.- Classical simulation of mixed-state evolution under completely-positive maps*, at

*The Tenth Workshop on Quantum Information Processing (QIP) 2007*, workshop held at the Queensland Conservatorium, Brisbane (Australia), from January 30th 2007 to February 3rd 2007.

* 6.- Simulation of infinite 2-dimensional systems with PEPS*, (poster presented by Jacob Jordan) at

*The Tenth Workshop on Quantum Information Processing (QIP) 2007*, workshop held at the Queensland Conservatorium, Brisbane (Australia), from January 30th 2007 to February 3rd 2007.

* 5.- Universality of Entanglement and Quantum Computation Complexity*, at

*Quantum Entanglement in Physical and Information Sciences*, conference held at the Scuola Normale Superiore, Pisa (Italy), from December 14th to December 18th 2004.

* 4.- Universality of Entanglement and Quantum Computation Complexity*, at

*Entanglement, Information and Noise*, conference held at the Krzyzowa Foundation for Mutual Understanding in Europe, Krzyzowa (Poland), from June 14th to June 20th 2004.

* 3.- Universality of Entanglement and Quantum Computation Complexity*, at

*2004 Latsis Symposium on Quantum Communication and Computing*, workshop held at the EPFL, Lausanne (Switzerland), from March 1st to March 3rd 2004.

* 2.- Systematic Analysis of Majorization in Quantum Algorithms, *at

*Quantum Entanglement and Information Processing*, school held at the Ecole de Physique, Les Houches (France), from June 30th to July 25th 2003.

* 1.- Systematic Analysis of Majorization in Quantum Algorithms, *at

*Advances in Quantum Information Processing: from Theory to Experiments*, conference held at the Ettore Majorana Center, Erice (Italy), from March 15th to March 22nd 2003.