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Quantum speed limits (QSLs) establish intrinsic bounds on the minimum time required for the evolution of quantum systems. We present a class of QSLs formulated in terms of the two-parameter Sharma-Mittal entropy (SME), applicable to…

Quantum Physics · Physics 2026-01-01 Dong-Ping Xuan , Zhi-Xi Wang , Shao-Ming Fei

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…

Quantum Physics · Physics 2024-02-05 Ashraf Naderzadeh-ostad , Seyed Javad Akhtarshenas

Quantum asymmetry and coherence are genuinely quantum resources that are essential to realize quantum advantage in information technologies. However, all quantum processes are fundamentally constrained by quantum speed limits, which raises…

Quantum Physics · Physics 2026-04-28 Agung Budiyono , Michael Moody , Hadyan L. Prihadi , Rafika Rahmawati , Sebastian Deffner

Quantum speed limit (QSL) defines the theoretical upper bound on how fast a quantum system can evolve between states. It imposes a fundamental constraint on the rate of quantum information processing. For a relativistic spin-up electron in…

A fundamental problem in quantum engineering is determining the lowest time required to ensure that all possible unitaries can be generated with the tools available, which is one of a number of possible quantum speed limits. We examine this…

Quantum Physics · Physics 2023-11-03 Mattias T. Johnsson , Lauritz van Luijk , Daniel Burgarth

What is the minimal time until a quantum system can exhibit genuine quantum features? To answer this question we derive quantum speed limits for two-time correlation functions arising from statistics of measurements. Generally, these…

Quantum Physics · Physics 2025-05-27 Sagar Silva Pratapsi , Sebastian Deffner , Stefano Gherardini

The energy-time uncertainty relation limits the maximum speed of quantum system evolution and is crucial for determining whether quantum tasks can be accelerated. However, multiparticle quantum speed limits have not been experimentally…

Quantum Physics · Physics 2025-11-04 Rui-Heng Miao , Zhao-Di Liu , Chen-Xi Ning , Yu-Cong Hu , Hao Zhang , Chuan-Feng Li , Guang-Can Guo

The speed of elementary quantum gates ultimately sets the limit on the speed at which quantum circuits can operate. For a fixed physical interaction strength between two qubits, the speed of any two-qubit gate is limited even with…

Quantum Physics · Physics 2023-12-15 Bora Basyildiz , Casey Jameson , Zhexuan Gong

The Bremermann-Bekenstein bound sets a fundamental upper limit on the rate with which information can be processed. However, the original treatment heavily relies on cosmological properties and plausibility arguments. In the present…

Quantum Physics · Physics 2020-02-18 Sebastian Deffner

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…

Quantum Physics · Physics 2022-02-07 Xiangyi Meng , Chengjun Wu , Hong Guo

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…

Quantum Physics · Physics 2015-05-13 Lev B. Levitin , Tommaso Toffoli

The speed limit of quantum state transfer (QST) in a system of interacting particles is not only important for quantum information processing, but also directly linked to Lieb-Robinson-type bounds that are crucial for understanding various…

Quantum Physics · Physics 2023-11-28 Casey Jameson , Bora Basyildiz , Daniel Moore , Kyle Clark , Zhexuan Gong

Quantum speed limit (QSL) is the lower bound on the time required for a state to evolve to a desired final state under a given Hamiltonian evolution. Three well-known QSLs exist Mandelstam-Tamm (MT), Margolus-Levitin (ML), and dual ML…

Quantum Physics · Physics 2024-10-21 M Suman , S. Aravinda , Ranjan Modak

We introduce the notion of reverse quantum speed limit for arbitrary quantum evolution which answers a fundamental question: ``how slow a quantum system can evolve in time?" Using the geometrical approach to quantum mechanics, the reverse…

Quantum Physics · Physics 2022-12-07 Brij Mohan , Arun Kumar Pati

We derive algebraic bounds on achievable rates for quantum state transfer and entanglement generation in general quantum systems. We apply these bounds to graph-based models of local quantum spin systems to obtain speed limits on these…

Quantum Physics · Physics 2017-04-19 Jeffrey M. Epstein , K. Birgitta Whaley

Quantum speed limit, furnishing a lower bound on the required time for the evolution of a quantum system through the state space, imposes an ultimate natural limitation to the dynamics of physical devices. Quantum absorption refrigerators,…

Quantum Physics · Physics 2018-06-13 Chiranjib Mukhopadhyay , Avijit Misra , Samyadeb Bhattacharya , Arun Kumar Pati

Quantum mechanics dictates bounds for the minimal evolution time between predetermined initial and final states. Several of these Quantum Speed Limit (QSL) bounds were derived for non-unitary dynamics using different approaches. Here, we…

Quantum Physics · Physics 2016-11-30 Nicolás Mirkin , Fabricio Toscano , Diego A. Wisniacki

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…

Quantum Physics · Physics 2023-01-06 Tan Van Vu , Keiji Saito

Setting the minimal-time bound for a quantum system to evolve between two distinguishable states, the quantum speed limit (QSL) characterizes the latent capability in speeding up of the system. It has found applications in determining the…

Quantum Physics · Physics 2023-02-02 Wei Wu , Jun-Hong An

We introduce action quantum speed limits (QSLs) as a family of bounds on the minimal time to connect two states that, unlike the usual geometric approach, crucially depend on how the path is traversed, i.e. on the instantaneous speed. The…

Quantum Physics · Physics 2021-02-19 Eoin O'Connor , Giacomo Guarnieri , Steve Campbell
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