Probability Representation of Quantum Observables and Quantum States

被引：35
|
作者：
Chernega, Vladimir N. [1 ]
Man'ko, Olga V. [1 ,2 ]
Man'ko, Vladimir I. [1 ,3 ]
机构：
[1] Russian Acad Sci, Lebedev Phys Inst, Leninskii Prospect 53, Moscow 119991, Russia
[2] Bauman Moscow State Tech Univ, 2nd Baumanskaya Str 5, Moscow 105005, Russia
[3] State Univ, Moscow Inst Phys & Technol, Inst Skii Per 9, Dolgoprudnyi 141700, Moscow Region, Russia
来源：
JOURNAL OF RUSSIAN LASER RESEARCH | 2017年 / 38卷 / 04期
基金：
俄罗斯科学基金会;
关键词：
quantum suprematism; probability representation; quantum observables; qubit states; Heisenberg evolution equation; STAR PRODUCTS; SPIN; TOMOGRAPHY; TERMS;
D O I：
10.1007/s10946-017-9648-2
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We introduce the probability distributions describing quantum observables in conventional quantum mechanics and clarify their relations to the tomographic probability distributions describing quantum states. We derive the evolution equation for quantum observables (Heisenberg equation) in the probability representation and give examples of the spin-1/2 (qubit) states and the spin observables. We present quantum channels for qubits in the probability representation.
引用
收藏
页码：324 / 333
页数：10
相关论文
共 50 条
  • [1] Probability Representation of Quantum Observables and Quantum States
    Vladimir N. Chernega
    Olga V. Man’ko
    Vladimir I. Man’ko
    Journal of Russian Laser Research, 2017, 38 : 324 - 333
  • [2] Statistics of observables in the probability representation of quantum and classical system states
    Man'ko, Margarita A.
    Man'ko, Vladimir I.
    FOUNDATIONS OF PROBABILITY AND PHYSICS - 6, 2012, 1424
  • [3] Probability Representation of Quantum States
    Man'ko, Olga V.
    Man'ko, Vladimir I.
    ENTROPY, 2021, 23 (05)
  • [4] Observables, Evolution Equation, and Stationary States Equation in the Joint Probability Representation of Quantum Mechanics
    Korennoy, Ya. A.
    Man'ko, V. I.
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2017, 56 (04) : 1183 - 1197
  • [5] Observables, Evolution Equation, and Stationary States Equation in the Joint Probability Representation of Quantum Mechanics
    Ya. A. Korennoy
    V. I. Man’ko
    International Journal of Theoretical Physics, 2017, 56 : 1183 - 1197
  • [6] Quantum states in probability representation and tomography
    Manko, O
    Manko, VI
    JOURNAL OF RUSSIAN LASER RESEARCH, 1997, 18 (05) : 407 - 444
  • [7] Quantum states in probability representation and tomography
    Olga Man’ko
    V. I. Man’ko
    Journal of Russian Laser Research, 1997, 18 : 407 - 444
  • [8] Contextuality and the probability representation of quantum states
    Vladimir I. Man’ko
    Alexey A. Strakhov
    Journal of Russian Laser Research, 2013, 34 : 267 - 277
  • [9] Contextuality and the probability representation of quantum states
    Man'ko, Vladimir I.
    Strakhov, Alexey A.
    JOURNAL OF RUSSIAN LASER RESEARCH, 2013, 34 (03) : 267 - 277
  • [10] Inverted Oscillator Quantum States in the Probability Representation
    Man'ko, Olga V.
    Man'ko, Vladimir I.
    ENTROPY, 2023, 25 (02)
12345