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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

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…

统计力学 · 物理学 2022-04-29 Ryusuke Hamazaki

Quantum speed limit (QSL) is the study of fundamental limits on the evolution time of quantum systems. For instance, under the action of a time-independent Hamiltonian, the evolution time between an initial and a final quantum state obeys…

量子物理 · 物理学 2024-05-17 H. F. Chau , Wenxin Zeng

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

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

The Margolus-Levitin (ML) bound says that for any time-independent Hamiltonian, the time needed to evolve from one quantum state to another is at least $\pi \alpha(\epsilon) / (2 \langle E-E_0 \rangle)$, where $\langle E-E_0 \rangle$ is the…

量子物理 · 物理学 2023-10-06 H. F. Chau

Previously derived "global" thermodynamic speed limit theorems state that increasing the maximum speed with which a system can evolve between two given probability distributions over its states requires the system to produce more entropy in…

统计力学 · 物理学 2021-12-07 Farita Tasnim , David H. Wolpert

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

In this paper, we introduce a new alternative quantum fidelity for quantum states which perfectly satisfies all Jozsas axioms and is zero for orthogonal states. By employing this fidelity, we derive an improved bound for quantum speed limit…

量子物理 · 物理学 2017-02-22 Abbas Ektesabi , Naghi Behzadi , Esfandyar Faizi

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

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…

量子物理 · 物理学 2024-10-21 M Suman , S. Aravinda , Ranjan Modak

Quantum speed limits set an upper bound to the rate at which a quantum system can evolve. Adopting a phase-space approach we explore quantum speed limits across the quantum to classical transition and identify equivalent bounds in the…

量子物理 · 物理学 2018-02-14 B. Shanahan , A. Chenu , N. Margolus , A. del Campo

Starting from a geometric perspective, we derive a quantum speed limit for arbitrary open quantum evolution, which could be Markovian or non-Markovian, providing a fundamental bound on the time taken for the most general quantum dynamics.…

量子物理 · 物理学 2019-08-07 Francesco Campaioli , Felix A. Pollock , Kavan Modi

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

We perform a comprehensive analysis of the set of parameters $\{r_{i}\}$ that provide the energy distribution of pure qutrits that evolve towards a distinguishable state at a finite time $\tau$, when evolving under an arbitrary and…

量子物理 · 物理学 2021-07-28 Francisco J. Sevilla , Andrea Valdés-Hernández , Alan J. Barrios

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 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

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

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

Quantum speed limits (QSLs) provide an upper bound for the speed of evolution of quantum states in any physical process. Based on the Stratonovich-Weyl correspondence, we derive a universal QSL bound in arbitrary phase spaces that is…

量子物理 · 物理学 2023-08-25 Weiquan Meng , Zhenyu Xu