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 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 …

Bell nonlocality

N Brunner, D Cavalcanti, S Pironio, V Scarani… - Reviews of modern …, 2014 - APS
Bell's 1964 theorem, which states that the predictions of quantum theory cannot be
accounted for by any local theory, represents one of the most profound developments in the …

Security in quantum cryptography

C Portmann, R Renner - Reviews of Modern Physics, 2022 - APS
Quantum cryptography exploits principles of quantum physics for the secure processing of
information. A prominent example is secure communication, ie, the task of transmitting …

[BOOK][B] The information: A history, a theory, a flood

J Gleick - 2011 - books.google.com
From the bestselling author of the acclaimed Chaos and Genius comes a thoughtful and
provocative exploration of the big ideas of the modern era: Information, communication, and …

Fully device independent quantum key distribution

U Vazirani, T Vidick - Communications of the ACM, 2019 - dl.acm.org
Quantum cryptography promises levels of security that are impossible to attain in a classical
world. Can this security be guaranteed to classical users of a quantum protocol, who may …

Simulation methods for open quantum many-body systems

H Weimer, A Kshetrimayum, R Orús - Reviews of Modern Physics, 2021 - APS
Coupling a quantum many-body system to an external environment dramatically changes its
dynamics and offers novel possibilities not found in closed systems. Of special interest are …

Matrix product states represent ground states faithfully

F Verstraete, JI Cirac - Physical Review B—Condensed Matter and Materials …, 2006 - APS
We quantify how well matrix product states approximate exact ground states of one-
dimensional quantum spin systems as a function of the number of spins and the entropy of …

Entanglement in continuous-variable systems: recent advances and current perspectives

G Adesso, F Illuminati - Journal of Physics A: Mathematical and …, 2007 - iopscience.iop.org
We review the theory of continuous-variable entanglement with special emphasis on
foundational aspects, conceptual structures and mathematical methods. Much attention is …

General monogamy inequality for bipartite qubit entanglement

TJ Osborne, F Verstraete - Physical review letters, 2006 - APS
We consider multipartite states of qubits and prove that their bipartite quantum
entanglement, as quantified by the concurrence, satisfies a monogamy inequality …