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

JI Cirac, D Perez-Garcia, N Schuch, F Verstraete - Reviews of Modern Physics, 2021 - APS
The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

Quantum repeaters: From quantum networks to the quantum internet

K Azuma, SE Economou, D Elkouss, P Hilaire… - Reviews of Modern …, 2023 - APS
A quantum internet is the holy grail of quantum information processing, enabling the
deployment of a broad range of quantum technologies and protocols on a global scale …

[BOOK][B] Quantum information theory

MM Wilde - 2013 - books.google.com
Finally, here is a modern, self-contained text on quantum information theory suitable for
graduate-level courses. Develo** the subject'from the ground up'it covers classical results …

Gaussian quantum information

C Weedbrook, S Pirandola, R García-Patrón… - Reviews of Modern …, 2012 - APS
The science of quantum information has arisen over the last two decades centered on the
manipulation of individual quanta of information, known as quantum bits or qubits. Quantum …

Quantum entanglement

R Horodecki, P Horodecki, M Horodecki… - Reviews of modern …, 2009 - APS
All our former experience with application of quantum theory seems to say that what is
predicted by quantum formalism must occur in the laboratory. But the essence of quantum …

Entanglement of formation of an arbitrary state of two qubits

WK Wootters - Physical Review Letters, 1998 - APS
The entanglement of a pure state of a pair of quantum systems is defined as the entropy of
either member of the pair. The entanglement of formation of a mixed state ρ is the minimum …

Mixed-state entanglement and quantum error correction

CH Bennett, DP DiVincenzo, JA Smolin, WK Wootters - Physical Review A, 1996 - APS
Entanglement purification protocols (EPPs) and quantum error-correcting codes (QECCs)
provide two ways of protecting quantum states from interaction with the environment. In an …

Computable measure of entanglement

G Vidal, RF Werner - Physical Review A, 2002 - APS
We present a measure of entanglement that can be computed effectively for any mixed state
of an arbitrary bipartite system. We show that it does not increase under local manipulations …

Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps

M Horodecki, P Horodecki, R Horodecki - Physics Letters A, 2001 - Elsevier
We provide necessary and sufficient conditions for separability of mixed states of n-particle
systems. The conditions are formulated in terms of maps which are positive on product …

Quantum information with continuous variables

SL Braunstein, P Van Loock - Reviews of modern physics, 2005 - APS
Quantum information is a rapidly advancing area of interdisciplinary research. It may lead to
real-world applications for communication and computation unavailable without the …