Experimental Tests of Classical and Quantum Dimensionality

被引:38
作者
Ahrens, Johan [1 ]
Badziag, Piotr [1 ]
Pawlowski, Marcin [2 ,3 ]
Zukowski, Marek [2 ]
Bourennane, Mohamed [1 ]
机构
[1] Stockholm Univ, Dept Phys, S-10691 Stockholm, Sweden
[2] Univ Gdansk, Inst Fizyki Teoretycznej & Astrofizyki, PL-80952 Gdansk, Poland
[3] Univ Bristol, Dept Math, Bristol BS8 1TW, Avon, England
基金
瑞典研究理事会; 英国工程与自然科学研究理事会;
关键词
D O I
10.1103/PhysRevLett.112.140401
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We report on an experimental test of classical and quantum dimension. We have used a dimension witness that can distinguish between quantum and classical systems of dimensions two, three, and four and performed the experiment for all five cases. The witness we have chosen is a base of semi-device-independent cryptographic and randomness expansion protocols. Therefore, the part of the experiment in which qubits were used is a realization of these protocols. In our work we also present an analytic method for finding the maximum quantum value of the witness along with corresponding measurements and preparations. This method is quite general and can be applied to any linear dimension witness.
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页数:5
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共 16 条
  • [1] From Bell's theorem to secure quantum key distribution
    Acin, Antonio
    Gisin, Nicolas
    Masanes, Lluis
    [J]. PHYSICAL REVIEW LETTERS, 2006, 97 (12)
  • [2] Ahrens J, 2012, NAT PHYS, V8, P592, DOI [10.1038/nphys2333, 10.1038/NPHYS2333]
  • [3] Dense quantum coding and quantum finite automata
    Ambainis, A
    Nayak, A
    Ta-Shma, A
    Vazirani, U
    [J]. JOURNAL OF THE ACM, 2002, 49 (04) : 496 - 511
  • [4] Dimension Witnesses and Quantum State Discrimination
    Brunner, Nicolas
    Navascues, Miguel
    Vertesi, Tamas
    [J]. PHYSICAL REVIEW LETTERS, 2013, 110 (15)
  • [5] Testing the dimension of Hilbert spaces
    Brunner, Nicolas
    Pironio, Stefano
    Acin, Antonio
    Gisin, Nicolas
    Methot, Andre Allan
    Scarani, Valerio
    [J]. PHYSICAL REVIEW LETTERS, 2008, 100 (21)
  • [6] PROPOSED EXPERIMENT TO TEST LOCAL HIDDEN-VARIABLE THEORIES
    CLAUSER, JF
    HORNE, MA
    SHIMONY, A
    HOLT, RA
    [J]. PHYSICAL REVIEW LETTERS, 1969, 23 (15) : 880 - &
  • [7] CSISZAR I, 1978, IEEE T INFORM THEORY, V24, P339, DOI 10.1109/TIT.1978.1055892
  • [8] Robustness of device-independent dimension witnesses
    Dall'Arno, Michele
    Passaro, Elsa
    Gallego, Rodrigo
    Acin, Antonio
    [J]. PHYSICAL REVIEW A, 2012, 86 (04)
  • [9] Device-Independent Tests of Classical and Quantum Dimensions
    Gallego, Rodrigo
    Brunner, Nicolas
    Hadley, Christopher
    Acin, Antonio
    [J]. PHYSICAL REVIEW LETTERS, 2010, 105 (23)
  • [10] Hendrych M, 2012, NAT PHYS, V8, P588, DOI [10.1038/NPHYS2334, 10.1038/nphys2334]