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David Pérez-García
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Year
Matrix product state representations
D Perez-Garcia, F Verstraete, MM Wolf, JI Cirac
arXiv preprint quant-ph/0608197, 2006
12182006
Classifying quantum phases using matrix product states and projected entangled pair states
N Schuch, D Pérez-García, I Cirac
Physical review b 84 (16), 165139, 2011
7062011
Criticality, the area law, and the computational power of projected entangled pair states
F Verstraete, MM Wolf, D Perez-Garcia, JI Cirac
Physical review letters 96 (22), 220601, 2006
5722006
PEPS as ground states: Degeneracy and topology
N Schuch, I Cirac, D Pérez-García
Annals of Physics 325 (10), 2153-2192, 2010
3212010
Undecidability of the spectral gap
TS Cubitt, D Perez-Garcia, MM Wolf
Nature 528 (7581), 207-211, 2015
3112015
Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
JI Cirac, D Perez-Garcia, N Schuch, F Verstraete
Reviews of Modern Physics 93 (4), 045003, 2021
2412021
String order and symmetries in quantum spin lattices
D Pérez-García, MM Wolf, M Sanz, F Verstraete, JI Cirac
Physical review letters 100 (16), 167202, 2008
2262008
Measurements incompatible in quantum theory cannot be measured jointly in any other no-signaling theory
MM Wolf, D Perez-Garcia, C Fernandez
Physical review letters 103 (23), 230402, 2009
2082009
PEPS as unique ground states of local Hamiltonians
D Perez-Garcia, F Verstraete, JI Cirac, MM Wolf
arXiv preprint arXiv:0707.2260, 2007
2082007
Measurement-based quantum computation beyond the one-way model
D Gross, J Eisert, N Schuch, D Perez-Garcia
Physical Review A 76 (5), 052315, 2007
2072007
Quantum capacities of bosonic channels
MM Wolf, D Pérez-García, G Giedke
Physical review letters 98 (13), 130501, 2007
1822007
Connes' embedding problem and Tsirelson's problem
M Junge, M Navascues, C Palazuelos, D Perez-Garcia, VB Scholz, ...
Journal of Mathematical Physics 52 (1), 012102, 2011
1582011
Unbounded violation of tripartite Bell inequalities
D Pérez-García, MM Wolf, C Palazuelos, I Villanueva, M Junge
Communications in Mathematical Physics 279, 455-486, 2008
1522008
Resonating valence bond states in the PEPS formalism
N Schuch, D Poilblanc, JI Cirac, D Pérez-García
Physical Review B 86 (11), 115108, 2012
1512012
Multilinear extensions of Grothendieck's theorem
F Bombal, D Pérez-García, I Villanueva
The Quarterly Journal of Mathematics 55 (4), 441-450, 2004
1472004
Contractivity of positive and trace-preserving maps under norms
D Perez-Garcia, MM Wolf, D Petz, MB Ruskai
Journal of Mathematical Physics 47 (8), 083506, 2006
1432006
Topological and entanglement properties of resonating valence bond wave functions
D Poilblanc, N Schuch, D Pérez-García, JI Cirac
Physical Review B 86 (1), 014404, 2012
1342012
Topological order in the projected entangled-pair states formalism: Transfer operator and boundary hamiltonians
N Schuch, D Poilblanc, JI Cirac, D Perez-Garcia
Physical review letters 111 (9), 090501, 2013
1242013
Algebrability of the set of non-convergent Fourier series
RM Aron, D Pérez García, JB Seoane-Sepúlveda
Polish Acad Sciencies Inst Mathematics, 2006
1202006
A quantum version of Wielandt's inequality
M Sanz, D Perez-Garcia, MM Wolf, JI Cirac
IEEE Transactions on Information Theory 56 (9), 4668-4673, 2010
1172010
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