Improvement of Speed Limits: Quantum Effect on the Speed in Open Quantum Systems
In the context of quantum speed limits, it has been shown that the minimum time required to cause a desired state conversion via the open quantum dynamics can be estimated using the entropy production. However, the established entropy-based bounds tend to be loose, making it difficult to accurately...
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Zusammenfassung: | In the context of quantum speed limits, it has been shown that the minimum
time required to cause a desired state conversion via the open quantum dynamics
can be estimated using the entropy production. However, the established
entropy-based bounds tend to be loose, making it difficult to accurately
estimate the minimum time for evolution. In this research, we have combined the
knowledge of the entropy-based speed limits with that of the resource theory of
asymmetry (RTA) and provided much stricter inequalities. Our results show that
the limitation on the change rate of states and expectation values can be
divided into two parts: quantum coherence for energy (i.e., asymmetry)
contributed by the system and the heat bath and the classical
entropy-increasing effect from the bath. As a result, our inequalities
demonstrate that the difference in the speed of evolution between classical and
quantum open systems, i.e., the quantum enhancement in speed, is determined by
the quantum Fisher information, which measures quantum fluctuations of energy
and serves as a standard resource measure in the resource theory of asymmetry.
We further show that a similar relation holds for the rate of change of
expectation values of physical quantities. |
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DOI: | 10.48550/arxiv.2410.11604 |