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List of works by David Pérez-García

A Composition Theorem for Multiple Summing Operators

article

A Quantum Version of Wielandt's Inequality

A decomposition theorem for polymeasures

A tensor norm preserving unconditionality for $\mathcal{L}_p$-spaces

Algebrability of the set of non-convergent Fourier series

Area law for fixed points of rapidly mixing dissipative quantum systems ⬇️

Assessing quantum dimensionality from observable dynamics

scientific article published on 15 May 2009

Bohr’s strip for vector valued Dirichlet series

Chern–Simons theory encoded on a spin chain ⬇️

Classifying quantum phases using matrix product states and projected entangled pair states

scholarly article in Physical Review B, vol. 84 no. 16, October 2011

Comparing different classes of absolutely summing multilinear operators

Connes' embedding problem and Tsirelson's problem

Constrained optimization of sequentially generated entangled multiqubit states

article by Hamed Saberi et al published 26 August 2009 in Physical Review A

Constructing topological models by symmetrization: A projected entangled pair states study ⬇️

scholarly article in Physical Review B, vol. 94 no. 15, October 2016

Contractivity of positive and trace-preserving maps under Lp norms

Criticality, the Area Law, and the Computational Power of Projected Entangled Pair States

scientific article published in Physical Review Letters

Deciding separability with a fixed error

Entanglement, fractional magnetization, and long-range interactions

scholarly article in Physical Review B, vol. 87 no. 3, January 2013

Existence of an information unit as a postulate of quantum theory

scientific article published on 23 September 2013

Gapless Hamiltonians for the Toric Code Using the Projected Entangled Pair State Formalism

scientific article published in Physical Review Letters

Irreducible forms of matrix product states: Theory and applications

Joint System Quantum Descriptions Arising from Local Quantumness

scientific article published in March 2013

Lieb-Robinson bounds for spin-boson lattice models and trapped ions.

scientific article published on 6 December 2013

Local complementation and the extension of bilinear mappings

Mapping between the Heisenberg XX Spin Chain and Low-Energy QCD

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

Matrix product states and projected entangled pair states: Concepts, symmetries, theorems

scientific article published in 2021

Matrix product unitaries: structure, symmetries, and topological invariants

Measurement-based quantum computation beyond the one-way model

scientific article

Measurements Incompatible in Quantum Theory Cannot Be Measured Jointly in Any Other No-Signaling Theory

scientific article

Memory effects can make the transmission capability of a communication channel uncomputable

scientific article published on 20 March 2018

On the impossibility to perform a global unitary operation sequentially

Operator space theory: a natural framework for bell inequalities.

scientific article published on 29 April 2010

Order Parameter for Symmetry-Protected Phases in One Dimension

scientific article published in Physical Review Letters

Orthogonally additive polynomials on spaces of continuous functions

PEPS as ground states: Degeneracy and topology

PROJECTED ENTANGLED STATES: PROPERTIES AND APPLICATIONS

Preparing topological projected entangled pair states on a quantum computer

Purifications of multipartite states: limitations and constructive methods

Quantum Capacities of Bosonic Channels

scientific article published in Physical Review Letters

Quantum Information: an invitation for mathematicians

Quantum Steering and Spacelike Separation

scientific article published in Physical Review Letters

Quantum capacities of channels with small environment ⬇️

Rapid mixing and stability of quantum dissipative systems ⬇️

Resonating valence bond states in the PEPS formalism

scholarly article in Physical Review B, vol. 86 no. 11, September 2012

Robustness in projected entangled pair states

scholarly article in Physical Review B, vol. 88 no. 11, September 2013

Sequential Implementation of Global Quantum Operations

scientific article published in Physical Review Letters

Sequential strong measurements and the heat vision effect

Size-driven quantum phase transitions

scientific article published on 19 December 2017

Stability of Local Quantum Dissipative Systems

String Order and Symmetries in Quantum Spin Lattices

scientific article published in Physical Review Letters

Superadditivity of Quantum Relative Entropy for General States

Symmetry reduction induced by anyon condensation: A tensor network approach

scholarly article in Physical Review B, vol. 96 no. 15, October 2017

Testing microscopic discretization

Topological and entanglement properties of resonating valence bond wave functions

scholarly article in Physical Review B, vol. 86 no. 1, July 2012

Topological order in the projected entangled-pair states formalism: transfer operator and boundary Hamiltonians.

scientific article published on 27 August 2013

Unbounded number of channel uses may be required to detect quantum capacity ⬇️

scientific article published on 31 March 2015

Undecidability of the spectral gap. ⬇️

scientific article published in December 2015

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