Entanglement Rates and the Stability of the Area Law for the Entanglement Entropy

Michael Marien; Koenraad Audenaert; Karel Van Acoleyen; Frank Verstraete

doi:10.1007/s00220-016-2709-5

Entanglement Rates and the Stability of the Area Law for the Entanglement Entropy

Michael Marien, Koenraad Audenaert, Karel Van Acoleyen, Frank Verstraete

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a conjecture by Bravyi on an upper bound on entanglement rates of local Hamiltonians. We then use this bound to prove the stability of the area law for the entanglement entropy of quantum spin systems under adiabatic and quasi-adiabatic evolutions.

Original language	English
Pages (from-to)	35–73
Number of pages	39
Journal	Communications in Mathematical Physics
Volume	346
Early online date	15 Jul 2016
DOIs	https://doi.org/10.1007/s00220-016-2709-5
Publication status	Published - Aug 2016

Access to Document

10.1007/s00220-016-2709-5

http://link.springer.com/article/10.1007%2Fs00220-016-2709-5

Cite this

@article{f02768cf123e41ef99ba8075f8f126a8,

title = "Entanglement Rates and the Stability of the Area Law for the Entanglement Entropy",

abstract = "We prove a conjecture by Bravyi on an upper bound on entanglement rates of local Hamiltonians. We then use this bound to prove the stability of the area law for the entanglement entropy of quantum spin systems under adiabatic and quasi-adiabatic evolutions.",

author = "Michael Marien and Koenraad Audenaert and {Van Acoleyen}, Karel and Frank Verstraete",

year = "2016",

month = aug,

doi = "10.1007/s00220-016-2709-5",

language = "English",

volume = "346",

pages = "35–73",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

}

TY - JOUR

T1 - Entanglement Rates and the Stability of the Area Law for the Entanglement Entropy

AU - Marien, Michael

AU - Audenaert, Koenraad

AU - Van Acoleyen, Karel

AU - Verstraete, Frank

PY - 2016/8

Y1 - 2016/8

N2 - We prove a conjecture by Bravyi on an upper bound on entanglement rates of local Hamiltonians. We then use this bound to prove the stability of the area law for the entanglement entropy of quantum spin systems under adiabatic and quasi-adiabatic evolutions.

AB - We prove a conjecture by Bravyi on an upper bound on entanglement rates of local Hamiltonians. We then use this bound to prove the stability of the area law for the entanglement entropy of quantum spin systems under adiabatic and quasi-adiabatic evolutions.

U2 - 10.1007/s00220-016-2709-5

DO - 10.1007/s00220-016-2709-5

M3 - Article

SN - 0010-3616

VL - 346

SP - 35

EP - 73

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

ER -