Accurate and Robust Unitary Transformations of a High-Dimensional Quantum System

被引：70

作者：

Anderson, B. E. ^{[1
,2
,3
,4
,5
]}

Sosa-Martinez, H. ^{[1
,2
]}

Riofrio, C. A. ^{[6
,7
]}

Deutsch, Ivan H. ^{[6
]}

Jessen, Poul S. ^{[1
,2
]}

机构：

[1] Univ Arizona, Ctr Quantum Informat & Control, Coll Opt Sci, Tucson, AZ 85721 USA

[2] Univ Arizona, Dept Phys, Tucson, AZ 85721 USA

[3] NIST, Gaithersburg, MD 20899 USA

[4] NIST, Joint Quantum Inst, Gaithersburg, MD 20899 USA

[5] Univ Maryland, Gaithersburg, MD 20899 USA

[6] Univ New Mexico, Dept Phys & Astron, Ctr Quantum Informat & Control, Albuquerque, NM 87131 USA

[7] Free Univ Berlin, Dahlem Ctr Complex Quantum Syst, D-14195 Berlin, Germany

来源：

PHYSICAL REVIEW LETTERS | 2015年 / 114卷 / 24期

基金：

美国国家科学基金会;

关键词：

SPIN DYNAMICS; DESIGN;

D O I：

10.1103/PhysRevLett.114.240401

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Unitary transformations are the most general input-output maps available in closed quantum systems. Good control protocols have been developed for qubits, but questions remain about the use of optimal control theory to design unitary maps in high-dimensional Hilbert spaces, and about the feasibility of their robust implementation in the laboratory. Here we design and implement unitary maps in a 16-dimensional Hilbert space associated with the 6S(1/2) ground state of Cs-133, achieving fidelities > 0.98 with built-in robustness to static and dynamic perturbations. Our work has relevance for quantum information processing and provides a template for similar advances on other physical platforms.

引用

页数：5

共 34 条

[1]

Anderson B. E., 2013, THESIS U ARIZONA

[2] Superconducting quantum circuits at the surface code threshold for fault tolerance [J].

Barends, R. ;

Kelly, J. ;

Megrant, A. ;

Veitia, A. ;

Sank, D. ;

Jeffrey, E. ;

White, T. C. ;

Mutus, J. ;

Fowler, A. G. ;

Campbell, B. ;

Chen, Y. ;

Chen, Z. ;

Chiaro, B. ;

Dunsworth, A. ;

Neill, C. ;

O'Malley, P. ;

Roushan, P. ;

Vainsencher, A. ;

Wenner, J. ;

Korotkov, A. N. ;

Cleland, A. N. ;

Martinis, John M. .

NATURE, 2014, 508 (7497) :500-503

[3] Shaped-pulse optimization of coherent emission of high-harmonic soft X-rays [J].

Bartels, R ;

Backus, S ;

Zeek, E ;

Misoguti, L ;

Vdovin, G ;

Christov, IP ;

Murnane, MM ;

Kapteyn, HC .

NATURE, 2000, 406 (6792) :164-166

[4] Optimized dynamical decoupling in a model quantum memory [J].

Biercuk, Michael J. ;

Uys, Hermann ;

VanDevender, Aaron P. ;

Shiga, Nobuyasu ;

Itano, Wayne M. ;

Bollinger, John J. .

NATURE, 2009, 458 (7241) :996-1000

[5] Control of quantum phenomena: past, present and future [J].

Brif, Constantin ;

Chakrabarti, Raj ;

Rabitz, Herschel .

NEW JOURNAL OF PHYSICS, 2010, 12

[6] Enhanced Fault-Tolerant Quantum Computing in d-Level Systems [J].

Campbell, Earl T. .

PHYSICAL REVIEW LETTERS, 2014, 113 (23)

[7] Coherent optimal control of photosynthetic molecules [J].

Caruso, F. ;

Montangero, S. ;

Calarco, T. ;

Huelga, S. F. ;

Plenio, M. B. .

PHYSICAL REVIEW A, 2012, 85 (04)

[8]

Chaudhury S, 2009, NATURE, V461, P768, DOI [10.1038/nature08396, 10.1038/πature08396]

[9] Quantum control of the hyperfine spin of a Cs atom ensemble [J].

Chaudhury, Souma ;

Merkel, Seth ;

Herr, Tobias ;

Silberfarb, Andrew ;

Deutsch, Ivan H. ;

Jessen, Poul S. .

PHYSICAL REVIEW LETTERS, 2007, 99 (16)

[10] Optimal control of atom transport for quantum gates in optical lattices [J].

De Chiara, G. ;

Calarco, T. ;

Anderlini, M. ;

Montangero, S. ;

Lee, P. J. ;

Brown, L. ;

Phillips, W. D. ;

Porto, J. V. .

PHYSICAL REVIEW A, 2008, 77 (05)

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