Complexity of controlling quantum many-body dynamics

被引：28

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

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