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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…

Quantum Physics · Physics 2022-08-11 Dimpi Thakuria , Arun Kumar Pati

Quantum physics dictates fundamental speed limits during time evolution. We present a quantum speed limit governing the generation of nonclassicality and the mutual incompatibility of two states connected by time evolution. This result is…

Quantum Physics · Physics 2016-12-20 Jun Jing , Lian-Ao Wu , Adolfo del Campo

Coherence is the most fundamental quantum resource in quantum information processing. How fast a physical system gets coherence or decoherence is a critical ingredient. We present an attainable quantum speed limit based on the variation of…

Quantum Physics · Physics 2025-10-07 Zi-yi Mai , CHang-shui Yu

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…

Quantum Physics · Physics 2022-04-14 Sergio Albeverio , Alexander K. Motovilov

We cast observable measure of quantum coherence or asymmetry as a resource to control the quantum speed limit (QSL) for unitary evolutions. For non-unitary evolutions, QSL depends on that of the state of the system and environment together.…

Quantum Physics · Physics 2016-02-17 Debasis Mondal , Chandan Datta , Sk Sazim

The evaluation of the minimal evolution time between two distinguishable states of a system is important for assessing the maximal speed of quantum computers and communication channels. Lower bounds for this minimal time have been proposed…

Quantum Physics · Physics 2013-02-01 M. M. Taddei , B. M. Escher , L. Davidovich , R. L. de Matos Filho

The quantum speed limit sets a fundamental restriction on the evolution time of quantum systems. We explore the relationship between quantum imaginarity and the quantum speed limit by utilizing measures such as relative entropy, trace…

Quantum Physics · Physics 2025-11-11 Dong-Ping Xuan , Zhong-Xi Shen , Wen Zhou , Shao-Ming Fei , Zhi-Xi Wang

Bounds of the minimum evolution time between two distinguishable states of a system can help to assess the maximal speed of quantum computers and communication channels. We study the quantum speed limit time of a composite quantum states in…

Quantum Physics · Physics 2014-09-16 Ying-Jie Zhang , Wei Han , Yun-Jie Xia , Ke-Xia Jiang , Jun-Peng Cao , Heng Fan

Speed of state transitions in macroscopic systems is a crucial concept for foundations of nonequilibrium statistical mechanics as well as various applications in quantum technology represented by optimal quantum control. While extensive…

Statistical Mechanics · Physics 2022-04-29 Ryusuke Hamazaki

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…

Quantum Physics · Physics 2025-07-04 Kohei Kobayashi

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…

Quantum Physics · Physics 2025-07-09 Zihao Hu , Haidong Yuan , Zigui Zhang , Chi-Hang Fred Fung , Zibo Miao

We construct a general measure for detecting the quantum speedup in both closed and open systems. The speed measure is based on the changing rate of the position of quantum states on a manifold with appropriate monotone Riemannian metrics.…

Quantum Physics · Physics 2016-07-07 Zhen-Yu Xu

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…

Quantum Physics · Physics 2022-06-16 Brij Mohan , Siddhartha Das , Arun Kumar Pati

The limited distinctness of physical systems is roughly expressed by uncertainty relations. Here we show distinctness is a finite resource we can exactly count to define basic physical quantities, limits to the resolution of space and time,…

Quantum Physics · Physics 2025-07-24 Norman Margolus

We investigate the quantum-mechanical time-evolution speed limit for neutral $K$ and $B$ mesons, both single as well as correlated, within the framework of open quantum systems. The role of coherence--mixing, a crucial feature of the open…

High Energy Physics - Phenomenology · Physics 2023-08-07 Subhashish Banerjee , K. G. Paulson

Quantum mechanics sets fundamental limits on how fast quantum states can be transformed in time. Two well-known quantum speed limits are the Mandelstam-Tamm and the Margolus-Levitin bounds, which relate the maximum speed of evolution to the…

Quantum Physics · Physics 2021-12-30 Gal Ness , Manolo R. Lam , Wolfgang Alt , Dieter Meschede , Yoav Sagi , Andrea Alberti

How fast an observable can evolve in time is answered by so-called ``observable speed limit". Here, we prove a stronger version of the observable speed limit and show that the previously obtained bound is a special case of the new bound.…

Quantum Physics · Physics 2024-12-09 Divyansh Shrimali , Biswaranjan Panda , Arun Kumar Pati

The speed of evolution between perfectly distinguishable states is thoroughly analyzed in a closed three-level (qutrit) quantum system. Considering an evolution under an arbitrary time-independent Hamiltonian, we fully characterize the…

Quantum Physics · Physics 2025-10-10 Jesica Espino-González , Francisco J. Sevilla , Andrea Valdés-Hernández

Quantum theory sets a bound on the minimal time evolution between initial and target states. This bound is called as quantum speed limit time. It is used to quantify maximal speed of quantum evolution. The quantum evolution will be faster,…

Quantum Physics · Physics 2019-07-22 S. Haseli , S. Salimi , H. Dolatkhah , A. S. Khorashad

The quantum speed limit describes how quickly a quantum system can evolve in time from an initial state to a final state under a given dynamics. Here, we derive a generalised quantum speed limit (GQSL) for arbitrary time-continuous…

Quantum Physics · Physics 2023-12-27 Dimpi Thakuria , Abhay Srivastav , Brij Mohan , Asmita Kumari , Arun Kumar Pati