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We develop an intuitive geometric picture of quantum states, define a particular state distance, and derive a quantum speed limit (QSL) for open systems. Our QSL is attainable because any initial state can be driven to a final state by the…

量子物理 · 物理学 2023-11-15 Zi-yi Mai , Chang-shui Yu

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.…

量子物理 · 物理学 2016-02-17 Debasis Mondal , Chandan Datta , Sk Sazim

We study the dynamics of a mobile impurity in a quantum fluid at zero temperature. Two related settings are considered. In the first setting the impurity is injected in the fluid with some initial velocity ${\mathbf v}_0$, and we are…

量子气体 · 物理学 2015-04-29 Oleg Lychkovskiy

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

Using the approach offered by quantum speed limit, we show that geometric measure of multipartite entanglement for pure states [Phys. Rev. A 68, 042307(2003)] can be interpreted as the minimal time necessary to unitarily evolve a given…

量子物理 · 物理学 2021-09-29 Łukasz Rudnicki

Utilizing the program of expectation values in coherent states and its recently developed algorithmic tools, this letter investigates the dynamical properties of cosmological coherent states for Loop Quantum Gravity. To this end, the…

广义相对论与量子宇宙学 · 物理学 2022-06-22 Klaus Liegener , Łukasz Rudnicki

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

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.…

量子物理 · 物理学 2024-12-09 Divyansh Shrimali , Biswaranjan Panda , Arun Kumar Pati

General relation is derived which expresses the fidelity of quantum dynamics, measuring the stability of time evolution to small static variation in the hamiltonian, in terms of ergodicity of an observable generating the perturbation as…

量子物理 · 物理学 2009-11-07 Tomaz Prosen

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

We consider a single copy of a mixed state of two qubits and show how its fidelity or maximal singlet fraction is related to the entanglement measures concurrence and negativity. We characterize the extreme points of the convex set of…

量子物理 · 物理学 2009-11-07 Frank Verstraete , Henri Verschelde

The total entropy production quantifies the extent of irreversibility in thermodynamic systems, which is nonnegative for any feasible dynamics. When additional information such as the initial and final states or moments of an observable is…

统计力学 · 物理学 2020-12-29 Van Tuan Vo , Tan Van Vu , Yoshihiko Hasegawa

We study optimization of fidelity for ultrafast transformation of a spin chain via external control of a local exchange coupling. We show that infidelity of such a process can be dramatically decreased by choosing a proper control profile…

量子物理 · 物理学 2019-12-11 P. V. Pyshkin , E. Ya. Sherman , Lian-Ao Wu

We re-examine the "Regge-Tolman paradox" with reference to some recent experimental results. It is straightforward to find a formula for the velocity v of the moving system required to produce causality violation. This formula typically…

综合物理 · 物理学 2018-12-26 Giovanni Modanese

The fidelity and local unitary transformation are two widely useful notions in quantum physics. We study two constrained optimization problems in terms of the maximal and minimal fidelity between two bipartite quantum states undergoing…

量子物理 · 物理学 2015-11-23 Lin Zhang , Lin Chen , Kaifeng Bu

The quantum speed limit is a fundamental concept in quantum mechanics, which aims at finding the minimum time scale or the maximum dynamical speed for some fixed targets. In a large number of studies in this field, the construction of valid…

量子物理 · 物理学 2020-06-09 Yanyan Shao , Bo Liu , Mao Zhang , Haidong Yuan , Jing Liu

We extend the speed limit of a distance between two states evolving by different generators for quantum systems [K. Suzuki and K. Takahashi, Phys. Rev. Res. 2, 032016(R) (2020)] to the classical stochastic processes described by the master…

统计力学 · 物理学 2023-03-31 Kazutaka Takahashi , Yasuhiro Utsumi

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

Quantum speed limit time defines the limit on the minimum time required for a quantum system to evolve between two states. Investigation of bounds on speed limit time of quantum system under non-unitary evolution is of fundamental interest,…

量子物理 · 物理学 2022-10-04 K. G Paulson , Subhashish Banerjee , R. Srikanth

By relevant modifications, the known global-fidelity limits of state-dependent cloning are extended to mixed quantum states. We assume that the ancilla contains some a priori information about the input state. As it is shown, the obtained…

量子物理 · 物理学 2009-11-10 Alexey E. Rastegin
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