Quantum Stochastic Stability
Javad Sharifi, Hamidreza Momeni
TL;DR
This paper develops stability criteria for open quantum systems described by quantum stochastic differential equations, addressing the stability of quantum observable flow and stochastic density operators.
Contribution
It introduces new stability criteria (local, asymptotic, exponential) specifically for QSDE-governed open quantum systems, advancing theoretical understanding.
Findings
Derived stability conditions for quantum observable flow
Established criteria for stochastic density operator stability
Provided mathematical framework for analyzing quantum system stability
Abstract
the stability criterion is constructed for open quantum systems which govern by quantum stochastic differential equations (QSDE) both for quantum observable flow and the stochastic density operator. We derive stability criteria (local, asymptotic and exponential stability) for those QSDE.
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Taxonomy
TopicsQuantum Mechanics and Applications · Stochastic processes and financial applications · Quantum Information and Cryptography