Optimal discrimination between real and complex quantum theories

被引：9
|
作者：
Bednorz, Adam [1 ]
Batle, Josep [2 ]
机构：
[1] Univ Warsaw, Fac Phys, Ul Pasteura 5, PL-02093 Warsaw, Poland
[2] CRISP Ctr Recerca Independent Sa Pobla, C Albeniz 12, Sa Pobla 07420, Balearic Island, Spain
来源：
PHYSICAL REVIEW A | 2022年 / 106卷 / 04期
关键词：
MECHANICS;
D O I：
10.1103/PhysRevA.106.042207
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We find the minimal number of settings to test quantum theory based on real numbers, assuming separability of the sources, modifying the recent proposal [M.-O. Renou et al., Nature (London) 600, 625 (2021)]. The test needs only three settings for observers A and C, but the ratio of complex to real maximum is smaller than in the existing proposal. We also found that two settings and two outcomes for both observers are insufficient.
引用
收藏
页数：6
相关论文
共 50 条
  • [21] On the Discrimination Between Classical and Quantum States
    Giorgio Brida
    Maria Bondani
    Ivo P. Degiovanni
    Marco Genovese
    Matteo G. A. Paris
    Ivano Ruo Berchera
    Valentina Schettini
    Foundations of Physics, 2011, 41 : 305 - 316
  • [22] On the Discrimination Between Classical and Quantum States
    Brida, Giorgio
    Bondani, Maria
    Degiovanni, Ivo P.
    Genovese, Marco
    Paris, Matteo G. A.
    Berchera, Ivano Ruo
    Schettini, Valentina
    FOUNDATIONS OF PHYSICS, 2011, 41 (03) : 305 - 316
  • [23] Optimal entanglement-assisted discrimination of quantum measurements
    Mikova, M.
    Sedlak, M.
    Straka, I.
    Micuda, M.
    Ziman, M.
    Jezek, M.
    Dusek, M.
    Fiurasek, J.
    PHYSICAL REVIEW A, 2014, 90 (02):
  • [24] Optimal two-copy discrimination of quantum measurements
    Fiurasek, Jaromir
    Micuda, Michal
    PHYSICAL REVIEW A, 2009, 80 (04):
  • [25] Optimal discrimination of multiple quantum systems: controllability analysis
    Turinici, G
    Ramakhrishna, V
    Li, BQ
    Rabitz, H
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (01): : 273 - 282
  • [26] Bound on optimal local discrimination of multipartite quantum states
    Ha, Donghoon
    San Kim, Jeong
    SCIENTIFIC REPORTS, 2022, 12 (01)
  • [27] Optimal Unambiguous Discrimination of Two Incompatible Quantum Measurements
    Mikova, M.
    Sedlak, M.
    Straka, I.
    Micuda, M.
    Ziman, M.
    Jezek, M.
    Fiurasek, J.
    Dusek, M.
    2013 CONFERENCE ON LASERS AND ELECTRO-OPTICS EUROPE AND INTERNATIONAL QUANTUM ELECTRONICS CONFERENCE (CLEO EUROPE/IQEC), 2013,
  • [28] Optimal Universal Learning Machines for Quantum State Discrimination
    Fanizza, Marco
    Mari, Andrea
    Giovannetti, Vittorio
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2019, 65 (09) : 5931 - 5944
  • [29] Bound on optimal local discrimination of multipartite quantum states
    Donghoon Ha
    Jeong San Kim
    Scientific Reports, 12
  • [30] Conditions for optimal input states for discrimination of quantum channels
    Jencova, Anna
    Plavala, Martin
    JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (12)
12345