Probability Representation of Nonclassical States of the Inverted Oscillator

Mechler, Matyas; Man’ko, Margarita A.; Man’ko, Vladimir I.; Adam, Peter

doi:10.1007/s10946-024-10182-w

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2024

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Cited by 2 publications

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“…Recently, probability representations called symplectic tomograms have been determined for several important states of the harmonic oscillator, including thermal states [ 22 ], coherent states, Fock states [ 8 ], and Schrödinger cat states [ 23 ], which were originally introduced under the name even and odd coherent states. The time evolution of these tomograms, initially prepared in the potential of the usual harmonic oscillator, has also been derived for free particle motion [ 6 , 8 , 22 , 23 ] or for inverted oscillators [ 24 , 25 , 26 ].…”

Section: Introductionmentioning

confidence: 99%

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

Mechler,

Man’ko,

Man’ko

et al. 2024

Entropy

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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.

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