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Open AccessArticle

PT -Symmetric Qubit-System States in the Probability Representation of Quantum Mechanics

1
Lebedev Physical Institute, Leninskii Prospect 53, 119991 Moscow, Russia
2
Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, 141700 Moscow, Russia
3
Russian Quantum Center, Skolkovo, 143025 Moscow, Russia
4
Department of Physics, Tomsk State University, Lenin Avenue 36, 634050 Tomsk, Russia
*
Author to whom correspondence should be addressed.
Symmetry 2020, 12(10), 1702; https://doi.org/10.3390/sym12101702
Received: 17 September 2020 / Revised: 1 October 2020 / Accepted: 13 October 2020 / Published: 16 October 2020
(This article belongs to the Special Issue PT-Symmetry in Physical Systems)
PT-symmetric qubit-system states are considered in the probability representation of quantum mechanics. The new energy eigenvalue equation for probability distributions identified with qubit and qutrit states is presented in an explicit form. A possibility to test PT-symmetry and its violation by measuring the probabilities of spin projections for qubits in three perpendicular directions is discussed. View Full-Text
Keywords: probability representation; qubit; energy levels; superposition principle; Born’s rule; non-Hermitian Hamiltonian probability representation; qubit; energy levels; superposition principle; Born’s rule; non-Hermitian Hamiltonian
MDPI and ACS Style

Chernega, V.N.; Man’ko, M.A.; Man’ko, V.I. PT -Symmetric Qubit-System States in the Probability Representation of Quantum Mechanics. Symmetry 2020, 12, 1702.

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