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Recent work published by Ignacio Cirac and his collaborators at ICMAT

2017

- CIRAC, J. Ignacio, CUEVAS, G. de las, PÉREZ-GARCÍA, SCHUCH, Norbert, 2017. Irreducible forms of Matrix Product States: Theory and Applicacions, J. Math. Phys. 58, 121901.

- CIRAC, J. Ignacio, PÉREZ-GARCÍA, David, SCHUCH, Norbert, VERSTRAETE, F., 2017. Matrix Product Density Operators: Renormalization Fixed Points and Boundary Theories, Annals of Physics.

- CIRAC, J. Ignacio, PÉREZ-GARCÍA, David, SCHUCH, Norbert, VERSTRAETE, F., 2017.Matrix Product Unitaries: Structure, Symmetries and Topological Invariants, J. Stat. Mech. 983105.

 

2016

- CIRAC, J. Ignacio, CUBITT, Toby S., CUEVAS, Gilbert de las, PÉREZ-GARCÍA, David, WOLF, Michael M., 2016. Fundamental limitations in the purifications of tensor networks, J. Math. Phys. 57, 071902.

 

2015

- CIRAC, J. Ignacio, FERNÁNDEZ-GONZÁLEZ, Carlos, PÉREZ-GARCÍA, David, SCHUCH, Norbert, WOLF, Michael M., 2015. Frustration free gapless Hamiltonians for Matrix Product States, Commun. Math. Phys. 333, 299-333.

 

2013

- CADARSO, Andrea, CIRAC, J. Ignacio, PÉREZ-GARCÍA, David, SANZ, Mikel, WOLF, Michael M., 2013. Entanglement, fractional magnetization and long-range interactions, Phys. Rev. B 87, 035114.

- CIRAC, J. Ignacio, MICHALAKIS, Spyridon, PÉREZ-GARCÍA, David, SCHUCH, Norbert, 2013. Robustness in Projected Entangled Pair States, Phys. Rev. B. 88, 115108.

- CIRAC, J. Ignacio, PÉREZ-GARCÍA, David, POILBLANC, Didier, SCHUCH, Norbert, 2013. Topological order in the projected entangled-pair states formalism: Transfer operator and boundary Hamiltonians, Phys. Rev. Lett. 111, 09050.

- CIRAC, J. Ignacio, CUEVAS, Gilbert de las, PÉREZ-GARCÍA, David, SCHUCH, Norbert, 2013. Purifications of multipartite states: limitations and constructive methods, New J. Phys. 15, 123021.

 

2012

- CIRAC, J.Ignacio, PÉREZ-GARCÍA, David, POILBLANC, Didier, SCHUCH, Norbert, 2012. Resonating valence bond states in the PEPS formalism, Phys. Rev. B 86, 115108.

- CIRAC, J.Ignacio, PÉREZ-GARCÍA, David, POILBLANC, Didier, SCHUCH, Norbert, 2012. Topological and Entanglement Properties of Resonating Valence Bond wave functions, Phys. Rev. B 86, 014404.

- CIRAC, J. Ignacio, HAEGEMAN, Jutho, PÉREZ-GARCÍA, David, SCHUCH, Norbert, 2012. An order parameter for symmetry-protected phases in one dimension, Phys. Rev. Lett.109, 050402.

- CIRAC, J. Ignacio, FERNÁNDEZ-GONZÁLEZ, Carlos, PÉREZ-GARCÍA, David, SCHUCH, Norbert, WOLF, Michael M., 2012. Gapless Hamiltonians for the toric code using the PEPS formalism, Phys. Rev. Lett. 109, 260401.

- CIRAC, J. Ignacio, PÉREZ-GARCÍA, David, WAHL, T.B., 2012. Matrix Product States with long-range Localizable Entanglement, Phys. Rev. A062314.

 

2011

- CIRAC, J.Ignacio, PÉREZ-GARCÍA, David, SCHUCH, Norbert, 2011. Classifying quantum phases using Matrix Product States and PEPS, Phys. Rev.B 84, 165139.