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.

Sobre autores

Vladimir Chernega

Lebedev Physical Institute, Russian Academy of Sciences

Email: omanko@sci.lebedev.ru
Rússia, Leninskii Prospect 53, Moscow, 119991

Olga Man’ko

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

Autor responsável pela correspondência
Email: omanko@sci.lebedev.ru
Rússia, 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
Rússia, Leninskii Prospect 53, Moscow, 119991; Institutskii per. 9, Dolgoprudnyi, Moscow Region, 141700

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