Quantum speed limit under decoherence: unitary, dissipative, and fluctuation contributions

• URL: http://arxiv.org/abs/2507.02501v1
• Date: Thu, 03 Jul 2025 10:05:24 GMT
• Title: Quantum speed limit under decoherence: unitary, dissipative, and fluctuation contributions
• Authors: Kohei Kobayashi,
• Abstract summary: We derive a new quantum speed limit (QSL) for open quantum systems governed by Markovian dynamics.<n>This result gives a fundamental trade-off between the distinguishability between speed and estimation precision, and clarifies how decoherence can both accelerate and constrain information acquisition.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: We derive a new quantum speed limit (QSL) for open quantum systems governed by Markovian dynamics. By analyzing the time derivative of the Bures angle between the initial pure state and its time-evolved state, we obtain an analytically computable upper bound on the evolution speed that decomposes into three distinct physical contributions; coherent unitary dynamics, dissipative deformation, and a fluctuation term. Based on this structure, we establish a general inequality that connects the QSL to the Quantum Fisher information in the short-time regime. This result gives a fundamental trade-off between the distinguishability between speed and estimation precision, and clarifies how decoherence can both accelerate and constrain information acquisition.

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