Email this article Probability Representation of Quantum Observables and Quantum States
- Authors: Chernega V.N.1, Man’ko O.V.1,2, Man’ko V.I.1,3
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Affiliations:
- Lebedev Physical Institute, Russian Academy of Sciences
- Bauman Moscow State Technical University
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 38, No 4 (2017)
- Pages: 324-333
- Section: Article
- URL: https://journal-vniispk.ru/1071-2836/article/view/248182
- DOI: https://doi.org/10.1007/s10946-017-9648-2
- ID: 248182
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Abstract
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.
About the authors
Vladimir N. Chernega
Lebedev Physical Institute, Russian Academy of Sciences
Email: omanko@sci.lebedev.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991
Olga V. Man’ko
Lebedev Physical Institute, Russian Academy of Sciences; Bauman Moscow State Technical University
Author for correspondence.
Email: omanko@sci.lebedev.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991; The 2nd Baumanskaya Str. 5, Moscow, 105005
Vladimir I. Man’ko
Lebedev Physical Institute, Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)
Email: omanko@sci.lebedev.ru
Russian Federation, Leninskii Prospect 53, Moscow, 119991; Institutskii per. 9, Dolgoprudnyi, Moscow Region, 141700
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