Achieving quantum metrological performance and exact Heisenberg limit precision through superposition of s-spin coherent states

Saidi, Hanan; El Hadfi, Hanane; Slaoui, Abdallah; Ahl Laamara, Rachid

doi:10.1140/epjd/s10053-024-00894-8

Eur. Phys. J. D

2024

DOI: 10.1140/epjd/s10053-024-00894-8

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Achieving quantum metrological performance and exact Heisenberg limit precision through superposition of s-spin coherent states

Hanan Saidi,

Hanane El Hadfi,

Abdallah Slaoui

et al.

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Parity symmetry breaking of spin-j coherent state superpositions in Gaussian noise channel

El Alaoui,

Slaoui,

Lakhfif

et al. 2024

Phys. Scr.

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The Wigner function and Wigner-Yanase skew information are connected through quantum coherence. States with high skew information often exhibit more pronounced negative regions in their Wigner functions, indicative of quantum interference and non-classical behavior. Thus, the relationship between these two concepts is that states with high quantum coherence tend to display more non-classical features in their Wigner functions. By exploiting this relationship, which manifests as parity symmetry and asymmetry, we analyze parity symmetry and asymmetry in the superposition of two spin coherent states for a spin-$1/2$, as well as for a general spin-$j$. This analysis shows that the preservation of the parity asymmetry, or the violation of the parity symmetry, correlates with an increase in the value of spin $j$. Additionally, we investigate the behavior of parity symmetry and asymmetry of these states subjected to a Gaussian noise channel. Specifically, we examine how this parity symmetry and asymmetry change and identify the points at which parity symmetry is violated in the spin-$1/2$ cat state. Notably, the violation of parity symmetry becomes more pronounced at higher values of the decoherence parameter $s$. Our study shows how the spin value $j$ affects the breaking of parity symmetry in general spin-$j$ cat states that are hit by Gaussian noise.

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Parity symmetry breaking of spin-j coherent state superpositions in Gaussian noise channel

El Alaoui,

Slaoui,

Lakhfif

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

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Achieving quantum metrological performance and exact Heisenberg limit precision through superposition of s-spin coherent states

Cited by 1 publication

References 60 publications

Parity symmetry breaking of spin-j coherent state superpositions in Gaussian noise channel

Parity symmetry breaking of spin-j coherent state superpositions in Gaussian noise channel

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