Probability Representation of Quantum Observables and Quantum States


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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.

作者简介

Vladimir Chernega

Lebedev Physical Institute, Russian Academy of Sciences

Email: omanko@sci.lebedev.ru
俄罗斯联邦, Leninskii Prospect 53, Moscow, 119991

Olga Man’ko

Lebedev Physical Institute, Russian Academy of Sciences; Bauman Moscow State Technical University

编辑信件的主要联系方式.
Email: omanko@sci.lebedev.ru
俄罗斯联邦, Leninskii Prospect 53, Moscow, 119991; The 2nd Baumanskaya Str. 5, Moscow, 105005

Vladimir Man’ko

Lebedev Physical Institute, Russian Academy of Sciences; Moscow Institute of Physics and Technology (State University)

Email: omanko@sci.lebedev.ru
俄罗斯联邦, Leninskii Prospect 53, Moscow, 119991; Institutskii per. 9, Dolgoprudnyi, Moscow Region, 141700

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