Complexity of controlling quantum many-body dynamics

被引：29

作者：

Caneva, T. ^{[1
,2
]}

Silva, A. ^{[3
,4
]}

Fazio, R. ^{[5
,6
]}

Lloyd, S. ^{[7
]}

Calarco, T. ^{[1
]}

Montangero, S. ^{[1
]}

机构：

[1] Univ Ulm, Inst Quanteninformationsverarbeitung, D-89069 Ulm, Germany

[2] ICFO, Inst Ciencies Foton, Castelldefels 08860, Barcelona, Spain

[3] SISSA, Int Sch Adv Studies, I-34136 Trieste, Italy

[4] Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy

[5] Scuola Normale Super Pisa, NEST, I-56126 Pisa, Italy

[6] CNR, Ist Nanosci, I-56126 Pisa, Italy

[7] MIT, Dept Mech Engn, Cambridge, MA 02139 USA

来源：

PHYSICAL REVIEW A | 2014年 / 89卷 / 04期

基金：

美国国家科学基金会;

关键词：

PHYSICS;

D O I：

10.1103/PhysRevA.89.042322

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We demonstrate that arbitrary time evolutions of many-body quantum systems can be reversed even in cases when only part of the Hamiltonian can be controlled. The reversed dynamics obtained via optimal controlcontrary to standard time-reversal procedures-is extremely robust to external sources of noise. We provide a lower bound on the control complexity of a many-body quantum dynamics in terms of the dimension of the manifold supporting it, elucidating the role played by integrability in this context.

引用

页数：5

共 27 条

[1]

[Anonymous], 1989, ADV STUD PURE MATH, DOI DOI 10.2969/ASPM/01910641

[2]

[Anonymous], 1988, INT J MOD PHYS A, V3, P743

[3] Strong and Weak Thermalization of Infinite Nonintegrable Quantum Systems [J].

Banuls, M. C. ;

Cirac, J. I. ;

Hastings, M. B. .

PHYSICAL REVIEW LETTERS, 2011, 106 (05)

[4]

Bason MG, 2012, NAT PHYS, V8, P147, DOI [10.1038/NPHYS2170, 10.1038/nphys2170]

[5] Many-body physics with ultracold gases [J].

Bloch, Immanuel ;

Dalibard, Jean ;

Zwerger, Wilhelm .

REVIEWS OF MODERN PHYSICS, 2008, 80 (03) :885-964

[6]

Bloch I, 2012, NAT PHYS, V8, P267, DOI [10.1038/nphys2259, 10.1038/NPHYS2259]

[7] LARGE-SIZE CRITICAL-BEHAVIOR OF INFINITELY COORDINATED SYSTEMS [J].

BOTET, R ;

JULLIEN, R .

PHYSICAL REVIEW B, 1983, 28 (07) :3955-3967

[8] Optimal Control at the Quantum Speed Limit [J].

Caneva, T. ;

Murphy, M. ;

Calarco, T. ;

Fazio, R. ;

Montangero, S. ;

Giovannetti, V. ;

Santoro, G. E. .

PHYSICAL REVIEW LETTERS, 2009, 103 (24)

[9] Chopped random-basis quantum optimization [J].

Caneva, Tommaso ;

Calarco, Tommaso ;

Montangero, Simone .

PHYSICAL REVIEW A, 2011, 84 (02)

[10] Speeding up critical system dynamics through optimized evolution [J].

Caneva, Tommaso ;

Calarco, Tommaso ;

Fazio, Rosario ;

Santoro, Giuseppe E. ;

Montangero, Simone .

PHYSICAL REVIEW A, 2011, 84 (01)

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