PMID: 17155303Dec 13, 2006Paper

General entanglement scaling laws from time evolution

Physical Review Letters
J Eisert, T J Osborne

Abstract

We establish a general scaling law for the entanglement of a large class of ground states and dynamically evolving states of quantum spin chains: we show that the geometric entropy of a distinguished block saturates, and hence follows an entanglement-boundary law. These results apply to any ground state of a gapped model resulting from dynamics generated by a local Hamiltonian, as well as, dually, to states that are generated via a sudden quench of an interaction as recently studied in the case of dynamics of quantum phase transitions. We achieve these results by exploiting ideas from quantum information theory and tools provided by Lieb-Robinson bounds. We also show that there exist noncritical fermionic systems and equivalent spin chains with rapidly decaying interactions violating this entanglement-boundary law. Implications for the classical simulatability are outlined.

References

Jul 15, 1986·Physical Review. D·L BombelliR D Sorkin
Aug 2, 1993·Physical Review Letters·M Srednicki
Nov 6, 1995·Physical Review Letters·S Östlund, S Rommer
Feb 15, 2001·Physical Review Letters·H J Briegel, R Raussendorf
Apr 12, 2002·Nature·A OsterlohRosario Fazio
Jul 15, 2003·Physical Review Letters·G VidalA Kitaev
Dec 20, 2003·Physical Review Letters·Sougato Bose
Jun 1, 2004·Physical Review Letters·Matthias ChristandlAndrew J Landahl
Aug 25, 2004·Physical Review Letters·Jiannis K Pachos, Martin B Plenio
Dec 17, 2004·Physical Review Letters·J EisertJ Hartley
Mar 24, 2005·Physical Review Letters·M B PlenioM Cramer
Mar 24, 2005·Physical Review Letters·W DürH-J Briegel
Oct 4, 2005·Physical Review Letters·Wojciech H ZurekPeter Zoller
Feb 21, 2006·Physical Review Letters·Michael M Wolf
Feb 21, 2006·Physical Review Letters·Vittorio Giovannetti, Daniel Burgarth
Apr 12, 2006·Physical Review Letters·Dimitri Gioev, Israel Klich
May 23, 2006·Physical Review Letters·Pasquale Calabrese, John Cardy
Jun 29, 2006·Physical Review Letters·F VerstraeteJ I Cirac
Oct 10, 2006·Physical Review Letters·S BravyiF Verstraete

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Citations

Aug 8, 2009·Physical Review Letters·J Eisert, D Gross
Sep 26, 2012·Physical Review Letters·Thomas Barthel, Martin Kliesch
Feb 2, 2013·Physical Review Letters·Thomas KoffelLuca Tagliacozzo
Jul 14, 2012·Reports on Progress in Physics·Tobias J Osborne
May 11, 2012·Journal of Public Health Dentistry·Raul I Garcia
Sep 10, 2020·Nature Communications·Tomotaka Kuwahara, Keiji Saito
Mar 26, 2016·Physical Review Letters·O MartyM B Plenio
Jan 11, 2020·Physical Review Letters·Chi-Fang Chen, Andrew Lucas
Jul 26, 2012·Reports on Progress in Physics·Philipp HaukeMaciej Lewenstein
Mar 17, 2015·Proceedings of the National Academy of Sciences of the United States of America·Simon BraunUlrich Schneider
Sep 13, 2016·Reports on Progress in Physics·Nikolai A Sinitsyn, Yuriy V Pershin
May 16, 2015·Physical Review Letters·M FriesdorfJ Eisert
Jul 9, 2020·Physical Review Letters·Maximilian Kiefer-EmmanouilidisJesko Sirker
May 26, 2018·Physical Review Letters·M GluzaL Aolita
Mar 5, 2009·Physical Review Letters·Alioscia HammaSimone Severini
Aug 7, 2007·Physical Review Letters·M CramerM B Plenio
Nov 7, 2014·Physical Review Letters·Davide VodolaGuido Pupillo
Sep 26, 2012·Physical Review Letters·Alioscia HammaPaolo Zanardi
Mar 26, 2013·Physical Review Letters·Jutho HaegemanFrank Verstraete
Feb 13, 2021·Physical Review Letters·Stefano De NicolaMaksym Serbyn
Apr 28, 2009·Physical Review Letters·Israel Klich, Leonid Levitov
Nov 13, 2007·Physical Review Letters·Christian K Burrell, Tobias J Osborne
Feb 4, 2014·Physical Review Letters·Jens EisertMichael Kastner
Sep 4, 2008·Physical Review Letters·M CramerJ Eisert
Dec 13, 2006·Physical Review Letters·Thomas BarthelJulien Vidal
Feb 1, 2008·Physical Review Letters·Alioscia Hamma, Daniel A Lidar
Feb 1, 2008·Physical Review Letters·M CramerT J Osborne
Jan 15, 2011·Physical Review Letters·Dominik Muth, Michael Fleischhauer
Mar 17, 2011·Physical Review Letters·Dominik MuthMichael Fleischhauer
Jul 24, 2021·Physical Review Letters·J Eisert
Aug 31, 2021·Physical Review Letters·Tomotaka Kuwahara, Keiji Saito

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