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

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 axis. The probability representation of even and odd cat states of an oscillating spin-...

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Veröffentlicht in:	Entropy (Basel, Switzerland) Switzerland), 2024-05, Vol.26 (6), p.485
Hauptverfasser:	Mechler, Matyas, Man'ko, Margarita A, Man'ko, Vladimir I, Adam, Peter
Format:	Artikel
Sprache:	eng
Schlagworte:	Atoms dequantizer and quantizer operators Distribution (Probability theory) Eigenvectors entanglement even and odd cat states Hilbert space Particle spin Probability Probability distribution Quantum mechanics Quantum theory Qubits (quantum computing) Representations symplectic tomography Variables
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Beschreibung
Zusammenfassung:	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 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.
ISSN:	1099-4300 1099-4300
DOI:	10.3390/e26060485