Even and Odd Cat States of Two and Three Qubits in the Probability Representation of Quantum Mechanics

被引：6

作者：

Mechler, Matyas ^{[1
,2
]}

Man'ko, Margarita A. ^{[3
]}

Man'ko, Vladimir I. ^{[3
]}

Adam, Peter ^{[1
,2
]}

机构：

[1] HUN REN Wigner Res Ctr Phys, Inst Solid State Phys & Opt, POB 49, H-1525 Budapest, Hungary

[2] Univ Pecs, Inst Phys, Ifjusag Utja 6, H-7624 Pecs, Hungary

[3] Lebedev Phys Inst, Leninskii Prospect 53, Moscow 119991, Russia

来源：

ENTROPY | 2024年 / 26卷 / 06期

关键词：

probability distribution; dequantizer and quantizer operators; symplectic tomography; even and odd cat states; entanglement; QUASI-PROBABILITY; COHERENT STATES; DENSITY-MATRIX; DISTRIBUTIONS; TOMOGRAPHY;

D O I：

10.3390/e26060485

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive the probability representation of even and odd cat states of two and three qubits. These states are even and odd superpositions of spin-1/2 eigenstates corresponding to two opposite directions along the z axis. The probability representation of even and odd cat states of an oscillating spin-1/2 particle is also discussed. The exact formulas for entangled probability distributions describing density matrices of all these states are obtained.

引用

页数：19

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