Unifying framework for spatial and temporal quantum correlations

被引:19
作者
Costa, Fabio [1 ]
Ringbauer, Martin [1 ,2 ,3 ]
Goggin, Michael E. [1 ,4 ]
White, Andrew G. [1 ]
Fedrizzi, Alessandro [3 ]
机构
[1] Univ Queensland, Sch Math & Phys, Ctr Engn Quantum Syst, Brisbane, Qld 4072, Australia
[2] Univ Innsbruck, Inst Expt Phys, A-6020 Innsbruck, Austria
[3] Heriot Watt Univ, Inst Photon & Quantum Sci, Sch Engn & Phys Sci, Edinburgh EH14 4AS, Midlothian, Scotland
[4] Truman State Univ, Dept Phys, Kirksville, MO 63501 USA
基金
澳大利亚研究理事会; 英国工程与自然科学研究理事会;
关键词
MACROSCOPIC REALISM; INEQUALITY; VIOLATION; TIME; FORMULATION; MECHANICS; FLUX;
D O I
10.1103/PhysRevA.98.012328
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Measurements on a single quantum system at different times reveal rich nonclassical correlations similar to those observed in spatially separated multipartite systems. Here we introduce a theory framework that unifies the description of temporal, spatial, and spatiotemporal resources for quantum correlations. We identify and experimentally demonstrate simple cases where an exact mapping between the domains is possible. We then identify correlation resources in arbitrary situations, where not all spatial quantum states correspond to a process and not all temporal measurements have a spatial analog. These results provide a starting point for the systematic exploration of multipoint temporal correlations as a powerful resource for quantum information processing.
引用
收藏
页数:7
相关论文
共 53 条
[21]   Avoiding loopholes with hybrid Bell-Leggett-Garg inequalities [J].
Dressel, Justin ;
Korotkov, Alexander N. .
PHYSICAL REVIEW A, 2014, 89 (01)
[22]   Hardy's Paradox and Violation of a State-Independent Bell Inequality in Time [J].
Fedrizzi, Alessandro ;
Almeida, Marcelo P. ;
Broome, Matthew A. ;
White, Andrew G. ;
Barbieri, Marco .
PHYSICAL REVIEW LETTERS, 2011, 106 (20)
[23]   Quantum correlations in the temporal Clauser-Horne-Shimony-Holt (CHSH) scenario [J].
Fritz, Tobias .
NEW JOURNAL OF PHYSICS, 2010, 12
[24]   Violation of the Leggett-Garg inequality with weak measurements of photons [J].
Goggin, M. E. ;
Almeida, M. P. ;
Barbieri, M. ;
Lanyon, B. P. ;
O'Brien, J. L. ;
White, A. G. ;
Pryde, G. J. .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2011, 108 (04) :1256-1261
[25]   BELL THEOREM WITHOUT INEQUALITIES [J].
GREENBERGER, DM ;
HORNE, MA ;
SHIMONY, A ;
ZEILINGER, A .
AMERICAN JOURNAL OF PHYSICS, 1990, 58 (12) :1131-1143
[26]   Toward a General Theory of Quantum Games [J].
Gutoski, Gus ;
Watrous, John .
STOC 07: PROCEEDINGS OF THE 39TH ANNUAL ACM SYMPOSIUM ON THEORY OF COMPUTING, 2007, :565-574
[27]   Can a quantum state over time resemble a quantum state at a single time? [J].
Horsman, Dominic ;
Heunen, Chris ;
Pusey, Matthew F. ;
Barrett, Jonathan ;
Spekkens, Robert W. .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2017, 473 (2205)
[28]  
Jamiolkowski A., 1972, Rep. Math. Phys., V3, P275, DOI DOI 10.1016/0034-4877(72)90011-0
[29]   Generalizing entanglement [J].
Jia, Ding .
PHYSICAL REVIEW A, 2017, 96 (06)
[30]   A strict experimental test of macroscopic realism in a superconducting flux qubit [J].
Knee, George C. ;
Kakuyanagi, Kosuke ;
Yeh, Mao-Chuang ;
Matsuzaki, Yuichiro ;
Toida, Hiraku ;
Yamaguchi, Hiroshi ;
Saito, Shiro ;
Leggett, Anthony J. ;
Munro, William J. .
NATURE COMMUNICATIONS, 2016, 7