David Pérez-García
Cited by
Cited by
Matrix product state representations
D Perez-Garcia, F Verstraete, MM Wolf, JI Cirac
arXiv preprint quant-ph/0608197, 2006
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
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
PEPS as ground states: Degeneracy and topology
N Schuch, I Cirac, D Pérez-García
Annals of Physics 325 (10), 2153-2192, 2010
Undecidability of the spectral gap
TS Cubitt, D Perez-Garcia, MM Wolf
Nature 528 (7581), 207-211, 2015
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
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
PEPS as unique ground states of local Hamiltonians
D Perez-Garcia, F Verstraete, JI Cirac, MM Wolf
arXiv preprint arXiv:0707.2260, 2007
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
Quantum capacities of bosonic channels
MM Wolf, D Pérez-García, G Giedke
Physical review letters 98 (13), 130501, 2007
Unbounded violation of tripartite Bell inequalities
D Pérez-García, MM Wolf, C Palazuelos, I Villanueva, M Junge
Communications in Mathematical Physics 279 (2), 455-486, 2008
Multilinear extensions of Grothendieck's theorem
F Bombal, D Pérez-García, I Villanueva
The Quarterly Journal of Mathematics 55 (4), 441-450, 2004
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
Resonating valence bond states in the PEPS formalism
N Schuch, D Poilblanc, JI Cirac, D Pérez-García
Physical review B 86 (11), 115108, 2012
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
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
Algebrability of the set of non-convergent Fourier series
RM Aron, D Pérez García, JB Seoane-Sepúlveda
Studia Mathematica 175 (1), 83-90, 2006
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
Multiple summing operators on Banach spaces
D Pérez-Garcı́a, I Villanueva
Journal of mathematical analysis and applications 285 (1), 86-96, 2003
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
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