Quantum Acceleration Limit

• URL: http://arxiv.org/abs/2312.00864v2
• Date: Tue, 19 Dec 2023 13:21:46 GMT
• Title: Quantum Acceleration Limit
• Authors: Arun Kumar Pati
• Abstract summary: We prove that the quantum acceleration is upper bounded by the fluctuation in the derivative of the Hamiltonian. This leads to a universal quantum acceleration limit (QAL) which answers the question: What is the minimum time required for a quantum system to be accelerated.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The speed limit provides an upper bound for the dynamical evolution time of a quantum system. Here, we introduce the notion of quantum acceleration limit for unitary time evolution of quantum systems under time-dependent Hamiltonian. We prove that the quantum acceleration is upper bounded by the fluctuation in the derivative of the Hamiltonian. This leads to a universal quantum acceleration limit (QAL) which answers the question: What is the minimum time required for a quantum system to be accelerated from arbitrary initial state to final state? We illustrate the quantum acceleration limit for a two-level quantum system and show that the bound is indeed tight. This notion can have important applications in adiabatic quantum computing, quantum control and quantum thermodynamics.

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