Quantum Evolution Time Limit: a General Non-Markovian Bound

Abstract

We derive a sharp bound as the quantum speed limit (QSL) for the minimal evolution time of quantum open systems in the non-Markovian strong-coupling regime with initial mixed states by considering the effects of both renormalized Hamiltonian and dissipator. For a non-Markovian quantum open system, the possible evolution time between two arbitrary states is not unique, among the set of which we find that the minimal one and its QSL can decrease more steeply by adjusting the coupling strength of the dissipator, which thus provides potential improvements of efficiency in many quantum physics and quantum information areas.

8 pages, 3 figures. Updated on Feb 4, 2022

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• Minimal time required to charge a quantum system
• Experimental Investigation of Geometric Quantum Speed Limits in an Open Quantum System
• Bhatia-Davis formula in the quantum speed limit
• Quantum Speed Limit under Brachistochrone Evolution
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• Quantum Speed Limits Based on Schatten Norms: Universality and Tightness
• Reachable Set Characterization of Open Quantum System by Quantum Speed Limit
• Initial-state-dependent quantum speed limit for dissipative state preparation: Framework and optimization
• Modified quantum-speed-limit bounds for open quantum dynamics in quantum channels
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• Multiple-scale integro-differential perturbation method for generic non-Markovian environments
• Generalized Entropic Quantum Speed Limits
• Quantum dynamical speedup for correlated initial states
• Quantum speed limits based on Jensen-Shannon and Jeffreys divergences for general physical processes
• Quantum speed limit time in the presence of disturbance