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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…

量子物理 · 物理学 2023-12-20 Arun Kumar Pati

The quantum speed limit provides a fundamental bound on how fast a quantum system can evolve between the initial and the final states under any physical operation. The celebrated Mandelstam-Tamm (MT) bound has been widely studied for…

量子物理 · 物理学 2023-02-01 Shrobona Bagchi , Abhay Srivastav , Arun Kumar Pati

Any physical system evolves at a finite speed that is constrained not only by the energetic cost but also by the topological structure of the underlying dynamics. In this Letter, by considering such structural information, we derive a…

量子物理 · 物理学 2023-01-06 Tan Van Vu , Keiji Saito

We discuss the problem of counting the maximum number of distinct states that an isolated physical system can pass through in a given period of time---its maximum speed of dynamical evolution. Previous analyses have given bounds in terms of…

量子物理 · 物理学 2009-10-30 Norman Margolus , Lev B. Levitin

By a quantum speed limit one usually understands an estimate on how fast a quantum system can evolve between two distinguishable states. The most known quantum speed limit is given in the form of the celebrated Mandelstam-Tamm inequality…

量子物理 · 物理学 2022-05-27 Sergio Albeverio , Alexander K. Motovilov

The question of how fast a quantum state can evolve has attracted a considerable attention in connection with quantum measurement, metrology, and information processing. Since only orthogonal states can be unambiguously distinguished, a…

量子物理 · 物理学 2015-05-13 Lev B. Levitin , Tommaso Toffoli

Quantum speed limits are relations yielding lower bounds on the evolution time of quantum systems. These results have been generalized in some ways, in particular by including evolutions to non-orthogonal states. However, there was a gap in…

量子物理 · 物理学 2014-07-17 M. M. Taddei

The generic bound of quantum speed limit time (the minimal evolution time) for a qubit system interacting with structural environment is investigated. We define a new bound for the quantum speed limit. It is shown that the non-Markovianity…

量子物理 · 物理学 2015-09-23 Shao-xiong Wu , Yang Zhang , Chang-shui Yu , He-shan Song

The quantum speed limit provides fundamental bound on how fast a quantum system can evolve between the initial and the final states. For the unitary evolution, the celebrated Mandelstam-Tamm (MT) bound has been widely studied for various…

量子物理 · 物理学 2022-08-11 Dimpi Thakuria , Arun Kumar Pati

We study the minimum time related to the quantum speed limit that characterizes the evolution of an open quantum system with the help of a simple model in the short and long time limits. We compare in particular the situation corresponding…

量子物理 · 物理学 2016-04-12 Jean Richert , Tarek Khalil

The minimal time required for a system to evolve between two different states is an important notion for developing ultra-speed quantum computer and communication channel. Here, we introduce a new metric for non-degenerate density operator…

量子物理 · 物理学 2017-01-25 Debasis Mondal , Arun Kumar Pati

Quantum speed limits are the boundaries that define how quickly one quantum state can transform into another. Instead of focusing on the transformation between pairs of states, we provide bounds on the speed limit of quantum evolution by…

量子物理 · 物理学 2025-11-10 Abolfazl Farmanian , Vahid Karimipour

The question of how fast a quantum state can evolve is considered. Using the definition of squared speed based on the Euclidean distance given in [Phys. Rev. Research, {\bf 2}, 033127 (2019)], we present a systematic framework to obtain the…

量子物理 · 物理学 2024-02-05 Ashraf Naderzadeh-ostad , Seyed Javad Akhtarshenas

The laws of quantum physics place a limit on the speed of computation. In particular, the evolution time of a system from an initial state to a final state cannot be arbitrarily short. Bounds on the speed of evolution for unitary dynamics…

量子物理 · 物理学 2025-07-09 Zihao Hu , Haidong Yuan , Zigui Zhang , Chi-Hang Fred Fung , Zibo Miao

We prove fundamental rigorous bounds on the speed of quantum evolution for a quantum system coupled to a thermal bath. The bounds are formulated in terms of expectation values of few-body observables derived from the system-bath…

量子物理 · 物理学 2024-08-20 N. Il'in , A. Aristova , O. Lychkovskiy

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…

量子物理 · 物理学 2022-02-07 Xiangyi Meng , Chengjun Wu , Hong Guo

One often needs to estimate how fast an evolving state of a quantum system can depart from some target state or target subspace of a Hilbert space. Such estimates are known as quantum speed limits. We derive a quantum speed limit for a…

量子物理 · 物理学 2021-08-04 N. Il`in , O. Lychkovskiy

The quantum speed limit indicates the maximal evolution speed of the quantum system. In this work, we determine speed limits on the informational measures, namely the von Neumann entropy, maximal information, and coherence of quantum…

量子物理 · 物理学 2022-06-16 Brij Mohan , Siddhartha Das , Arun Kumar Pati

Quantum speed limits are rigorous estimates on how fast a state of a quantum system can depart from the initial state in the course of quantum evolution. Most known quantum speed limits, including the celebrated Mandelstam-Tamm and…

量子物理 · 物理学 2021-06-02 Nikolai Il`in , Oleg Lychkovskiy

One of the fundamental physical limits on the speed of time evolution of a quantum state is known in the form of the celebrated Mandelstam-Tamm inequality. This inequality gives an answer to the question on how fast an isolated quantum…

量子物理 · 物理学 2022-04-14 Sergio Albeverio , Alexander K. Motovilov
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