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20042020
most citedMatrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems

831 citations · 6k across the 58 of their papers we have counts for

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Showing 2012 · quant-phShow all

7 papers · 2 filters

quant-ph2012★ 26 cited

Preparing topological PEPS on a quantum computer

Martin Schwarz, Toby S. Cubitt, Kristan Temme +2

Simulating of exotic phases of matter that are not amenable to classical techniques is one of the most important potential applications of quantum information processing. We presen…

quant-ph2012★ 24 cited

Entanglement, fractional magnetization and long-range interactions

Andrea Cadarso, Mikel Sanz, Michael M. Wolf +2

Based on the theory of Matrix Product States, we give precise statements and complete analytical proofs of the following claim: a large fractionalization in the magnetization or th…

quant-ph2012★ 106 cited

Existence of an information unit as a postulate of quantum theory

Lluis Masanes, Markus P. Mueller, Remigiusz Augusiak +1

Does information play a significant role in the foundations of physics? Information is the abstraction that allows us to refer to the states of systems when we choose to ignore the…

quant-ph2012★ 9 cited

Matrix Product States with long-range Localizable Entanglement

Thorsten B. Wahl, David Perez-Garcia, J. Ignacio Cirac

We derive a criterion to determine when a translationally invariant matrix product state (MPS) has long-range localizable entanglement, where that quantity remains finite in the th…

quant-ph2012★ 2 cited

Joint system quantum descriptions arising from local quantumness

Tom Cooney, Marius Junge, Miguel Navascues +2

Bipartite correlations generated by non-signalling physical systems that admit a finite-dimensional local quantum description cannot exceed the quantum limits, i.e., they can alway…

quant-ph2012★ 12 cited

Quantum Steering and Space-Like Separation

Miguel Navascues, David Perez-Garcia

In non-relativistic quantum mechanics, measurements performed by separate observers are modeled via tensor products. In Algebraic Quantum Field Theory, though, local observables co…

quant-ph2012★ 27 cited

Matrix Product States, Random Matrix Theory and the Principle of Maximum Entropy

Benoit Collins, Carlos E. Gonzalez-Guillen, David Perez-Garcia

Using random matrix techniques and the theory of Matrix Product States we show that reduced density matrices of quantum spin chains have generically maximum entropy.