Ciencias Matemáticas
Facultad
![Foto de J. I.](/img/nophoto.png)
J. I.
Cirac
Publicaciones en las que colabora con J. I. Cirac (27)
2021
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Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
Reviews of Modern Physics, Vol. 93, Núm. 4
2020
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Probing Thermalization through Spectral Analysis with Matrix Product Operators
Physical Review Letters, Vol. 124, Núm. 10
2019
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Mathematical open problems in projected entangled pair states
Revista matemática complutense, Vol. 32, Núm. 3, pp. 579-599
2017
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Matrix product density operators: Renormalization fixed points and boundary theories
Annals of Physics, Vol. 378, pp. 100-149
2016
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Fundamental limitations in the purifications of tensor networks
Journal of Mathematical Physics, Vol. 57, Núm. 7
2014
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Frustration Free Gapless Hamiltonians for Matrix Product States
Communications in Mathematical Physics, Vol. 333, Núm. 1, pp. 299-333
2013
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Entanglement, fractional magnetization, and long-range interactions
Physical Review B - Condensed Matter and Materials Physics, Vol. 87, Núm. 3
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Purifications of multipartite states: Limitations and constructive methods
New Journal of Physics, Vol. 15
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Robustness in projected entangled pair states
Physical Review B - Condensed Matter and Materials Physics, Vol. 88, Núm. 11
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Topological order in the projected entangled-pair states formalism: Transfer operator and boundary hamiltonians
Physical Review Letters, Vol. 111, Núm. 9
2012
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Gapless hamiltonians for the toric code using the projected entangled pair state formalism
Physical Review Letters, Vol. 109, Núm. 26
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Matrix product states with long-range localizable entanglement
Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 86, Núm. 6
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Order parameter for symmetry-protected phases in one dimension
Physical Review Letters, Vol. 109, Núm. 5
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Resonating valence bond states in the PEPS formalism
Physical Review B - Condensed Matter and Materials Physics, Vol. 86, Núm. 11
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Topological and entanglement properties of resonating valence bond wave functions
Physical Review B - Condensed Matter and Materials Physics, Vol. 86, Núm. 1
2011
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Classifying quantum phases using matrix product states and projected entangled pair states
Physical Review B - Condensed Matter and Materials Physics, Vol. 84, Núm. 16
2010
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A quantum version of Wielandt's inequality
IEEE Transactions on Information Theory, Vol. 56, Núm. 9, pp. 4668-4673
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Characterizing symmetries in a projected entangled pair state
New Journal of Physics, Vol. 12
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PEPS as ground states: Degeneracy and topology
Annals of Physics, Vol. 325, Núm. 10, pp. 2153-2192
2009
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Matrix product states: Symmetries and two-body Hamiltonians
Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 79, Núm. 4