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The Bremermann-Bekenstein bound is a fundamental bound on the maximal rate with which information can be transmitted. However, its derivation relies on rather weak estimates and plausibility arguments, which make the application of the…

量子物理 · 物理学 2017-06-14 Thiago V. Acconcia , Sebastian Deffner

The concept of quantum speed limit-time (QSL) was initially introduced as a lower bound to the time interval that a given initial state $\psi_I$ may need so as to evolve into a state orthogonal to itself. Recently [V. Giovannetti, S. Lloyd,…

量子物理 · 物理学 2009-11-13 A. Borrás , M. Casas , A. R. Plastino , A. Plastino

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…

量子物理 · 物理学 2025-10-07 Zi-yi Mai , CHang-shui Yu

We consider the problem of distinguishing between a set of arbitrary quantum states in a setting in which the time available to perform the measurement is limited. We provide simple upper bounds on how well we can perform state…

量子物理 · 物理学 2015-05-28 Andrew C. Doherty , Stephanie Wehner

Quantum theory sets a limit on the minimum time required to transform from an initial state to a target state. It is known as quantum speed limit time. quantum speed limit time can be used to determine the rate of quantum evolution for…

量子物理 · 物理学 2020-12-01 Soroush Haseli , Hazhir Dolatkhah , Shahriar Salimi

The quantum speed limit sets the minimum time required to transfer a quantum system completely into a given target state. At shorter times the higher operation speed has to be paid with a loss of fidelity. Here we quantify the trade-off…

量子物理 · 物理学 2015-12-08 Miroslav Gajdacz , Kunal K. Das , Jan Arlt , Jacob F. Sherson , Tomáš Opatrný

The pace of evolution of physical systems is fundamentally constrained by quantum speed limits (QSL), which have found broad applications in quantum science and technology. We consider the speed of evolution for quantum systems undergoing…

量子物理 · 物理学 2019-04-09 Luis Pedro García-Pintos , Adolfo del Campo

While playing an important role in the foundations of quantum theory, Quantum Speed Limits (QSL) have no role in discussions about the search for quantum gravity. We fill this gap by analysing what QSL arises when superposing spherically…

广义相对论与量子宇宙学 · 物理学 2024-12-06 Nicola Pranzini , Lorenzo Maccone

Recently, the notion of a quantum acceleration limit has been proposed for any unitary time evolution of quantum systems governed by arbitrary nonstationary Hamiltonians. This limit articulates that the rate of change over time of the…

量子物理 · 物理学 2026-05-29 Carlo Cafaro , Walid Redjem , Paul M. Alsing , Newshaw Bahreyni , Christian Corda

Quantum speed limit (QSL) for open quantum systems in the non-Markovian regime is analyzed. We provide a the lower bound for the time required to transform an initial state to a final state in terms of thermodynamic quantities such as the…

量子物理 · 物理学 2021-10-11 Arpan Das , Anindita Bera , Sagnik Chakraborty , Dariusz Chruściński

Characterizing the most efficient evolution, the quantum speed limit (QSL) plays a significant role in quantum technology. How to generalize the well-established QSL from closed systems to open systems has attracted much attention. In…

量子物理 · 物理学 2023-07-11 Wei Wu , Jun-Hong An

We investigate the generic bound on the minimal evolution time of the open dynamical quantum system. This quantum speed limit time is applicable to both mixed and pure initial states. We then apply this result to the damped Jaynes-Cummings…

量子物理 · 物理学 2014-05-05 Yingjie Zhang , Wei Han , Yunjie Xia , Junpeng Cao , Heng Fan

We present a class of generalized entropic quantum speed limits based on $\alpha$-$z$-R\'{e}nyi relative entropy, a real-valued, contractive, two-parameter family of distinguishability measures. The quantum speed limit (QSL) falls into the…

量子物理 · 物理学 2025-07-21 Jucelino Ferreira de Sousa , Diego Paiva Pires

Cloud-based quantum computers do not provide users with access to hardware-level information such as the underlying Hamiltonians, which obstructs the characterization of their physical properties. We propose a method to infer the energy…

量子物理 · 物理学 2025-12-18 Nobumasa Ishida , Yoshihiko Hasegawa

We establish the minimum time it takes for an initial state of mean energy E and energy spread DE to move from its initial configuration by a predetermined amount. Distances in Hilbert space are estimated by the fidelity between the initial…

量子物理 · 物理学 2009-11-07 Vittorio Giovannetti , Seth Lloyd , Lorenzo Maccone

Non-classical features of quantum systems can degrade when subjected to environment and noise. Here, we ask a fundamental question: What is the minimum amount of time it takes for a quantum system to exhibit non-classical features in the…

量子物理 · 物理学 2024-09-23 Divyansh Shrimali , Swapnil Bhowmick , Arun Kumar Pati

The notion of quantum speed limit (QSL) refers to the fundamental fact that two quantum states become completely distinguishable upon dynamical evolution only after a finite amount time, called the QSL time. A different, but related concept…

量子物理 · 物理学 2019-04-29 Pablo M. Poggi

The quantum speed limit is a fundamental upper bound on the speed of quantum evolution. However, the actual mathematical expression of this fundamental limit depends on the choice of a measure of distinguishability of quantum states. We…

量子物理 · 物理学 2017-10-31 Sebastian Deffner

We propose new Lieb-Robinson bounds (bounds on the speed of propagation of information in quantum systems) with an explicit dependence on the interaction strengths of the Hamiltonian. For systems with more than two interactions it is found…

数学物理 · 物理学 2014-11-20 Isabeau Prémont-Schwarz , Jeff Hnybida

The speed of quantum evolution is limited under finite energy resources. While most quantum speed limits (QSLs) are formulated in terms of quantum states, they can be extended to the evolution operator itself, and thus impose fundamental…

量子物理 · 物理学 2026-04-28 Hunter Nelson , Edwin Barnes