Holevo-Ordering and the Continuous-Time Limit for Open Floquet Dynamics |
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Authors: | GOUGH JOHN |
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Institution: | (1) Department of Computing and Mathematics, Nottingham-Trent University, Burton Street, Nottingham, NG1 4BU, United Kingdom |
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Abstract: | We consider an atomic beam reservoir as a source of quantum noise. The atoms are modelled as two-state systems and interact
one-at-a-time with the system. The Floquet operators are described in terms of the Fermionic creation, annihilation and number
operators associated with the two-state atom. In the limit where the time between interactions goes to zero and the interaction
is suitably scaled, we show that we may obtain a causal (that is, adapted) quantum stochastic differential equation of Hudson—Parthasarathy
type, driven by creation, annihilation and conservation processes. The effect of the Floquet operators in the continuous limit
is exactly captured by the Holevo ordered form for the stochastic evolution |
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Keywords: | continuous measurement quantum probability stochastic limit |
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