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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Transfer and entanglement stability of property $UW${normalsizeit{E}}

arXiv

Authors: Sinan Qiu, Lining Jiang

Year

2024

Paper ID

64399

Status

Preprint

Abstract Read

~2 min

Abstract Words

127

Citations

N/A

Abstract

An operator Tin B(H) is said to satisfy property $UW${scriptsize it{E}} if the complement in the approximate point spectrum of the essential approximate point spectrum coincides with the isolated eigenvalues of the spectrum. Via the CI spectrum induced by consistent invertibility property of operators, we explore property $UW${scriptsize it{E}} for T and T^ast simultaneously. Furthermore, the transfer of property $UW${scriptsize it{E}} from T to f(T) and f$T^ast$ is obtained, where f is a function which is analytic in a neighborhood of the spectrum of T. At last, with the help of the so-called (A,B) entanglement stable spectra, the entanglement stability of property $UW${scriptsize it{E}} for 2times 2 upper triangular operator matrices is investigated.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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An operator Tin B(H) is said to satisfy property UWscriptsize itE if the complement in the approximate point spectrum of the essential approximate point spectrum coincides with...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2408.05433 [2] arXiv https://arxiv.org/abs/2408.05433 [3] Publisher https://arxiv.org/abs/2408.05433

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