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Quantum speed limits are the boundaries that define how quickly one quantum state can transform into another. Instead of focusing on the transformation between pairs of states, we provide bounds on the speed limit of quantum evolution by…

量子物理 · 物理学 2025-11-10 Abolfazl Farmanian , Vahid Karimipour

Quantum speed limits are rigorous estimates on how fast a state of a quantum system can depart from the initial state in the course of quantum evolution. Most known quantum speed limits, including the celebrated Mandelstam-Tamm and…

量子物理 · 物理学 2021-06-02 Nikolai Il`in , Oleg Lychkovskiy

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…

量子物理 · 物理学 2021-12-30 Gal Ness , Manolo R. Lam , Wolfgang Alt , Dieter Meschede , Yoav Sagi , Andrea Alberti

Inequalities of Mandelstam-Tamm and Margolus-Levitin type provide lower bounds on the time it takes for a quantum system to evolve from one state into another. Knowledge of such bounds, called quantum speed limits, is of utmost importance…

量子物理 · 物理学 2014-05-08 Ole Andersson , Hoshang Heydari

This paper reports on some new inequalities of Margolus-Levitin-Mandelstam-Tamm-type involving the speed of quantum evolution between two orthogonal pure states. The clear determinant of the qualitative behavior of this time scale is the…

量子物理 · 物理学 2015-05-14 Ulvi Yurtsever

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

Quantum speed limits such as the Mandelstam-Tamm or Margolus-Levitin bounds offer a quantitative formulation of the energy-time uncertainty principle that constrains dynamics over short times. We show that the spectral form factor, a…

量子物理 · 物理学 2024-02-06 Amit Vikram , Victor Galitski

The quantum speed limit provides a fundamental bound on how fast a quantum system can evolve between the initial and the final states under any physical operation. The celebrated Mandelstam-Tamm (MT) bound has been widely studied for…

量子物理 · 物理学 2023-02-01 Shrobona Bagchi , Abhay Srivastav , Arun Kumar Pati

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

The traditional quantum speed limits are not attainable for many physical processes, as they tend to be loose and fail to determine the exact time taken by quantum systems to evolve. To address this, we derive exact quantum speed limits for…

量子物理 · 物理学 2023-08-30 Arun K. Pati , Brij Mohan , Sahil , Samuel L. Braunstein

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…

量子物理 · 物理学 2022-08-11 Dimpi Thakuria , Arun Kumar Pati

Quantum speed limits (QSLs) impose fundamental constraints on the evolution speed of quantum systems. Traditionally, the Mandelstam-Tamm (MT) and Margolus-Levitin (ML) bounds have been widely employed, relying on the standard deviation and…

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

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…

量子物理 · 物理学 2023-12-27 Dimpi Thakuria , Abhay Srivastav , Brij Mohan , Asmita Kumari , Arun Kumar Pati

The Mandelstam-Tamm and Margolus-Levitin quantum speed limits are two well-known evolution time estimates for isolated quantum systems. These bounds are usually formulated for fully distinguishable initial and final states, but both have…

量子物理 · 物理学 2023-12-14 Niklas Hörnedal , Ole Sönnerborn

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…

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…

量子物理 · 物理学 2022-04-14 Sergio Albeverio , Alexander K. Motovilov

Bounds to the speed of evolution of a quantum system are of fundamental interest in quantum metrology, quantum chemical dynamics and quantum computation. We derive a time-energy uncertainty relation for open quantum systems undergoing a…

量子物理 · 物理学 2013-03-05 A. del Campo , I. L. Egusquiza , M. B. Plenio , S. F. Huelga

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

In this study, we investigate the bound on the speed of state transformation in the quantum and classical systems that are coupled to general environment with arbitrary coupling interactions. We show that a Mandelstam-Tamm type speed limit…

统计力学 · 物理学 2021-05-05 Naoto Shiraishi , Keiji Saito
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