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Stability property for the quantum jump operators of an open system

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arxiv 2211.07527 v1 pith:D6KRSYP4 submitted 2022-11-14 math.OA quant-ph

Stability property for the quantum jump operators of an open system

classification math.OA quant-ph
keywords quantumcontinuityjumpoperatorspropertybimoduleclassicalcomplete
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show the continuity property of spectral gaps and complete Logarithmic constants in terms of the jump operators of Lindblad generators in finite dimensional setting. Our method is based on the bimodule structure of the derivation space and the technique developed in [Paulsen09]. Using the same trick, we also show the continuity of the $g^2(0)$ constant used to distinguish quantum and classical lights in quantum optics.

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