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We discuss the local equilibration of closed systems using the relative purity, a paradigmatic information-theoretic distinguishability measure that finds applications ranging from quantum metrology to quantum speed limits. First we obtain…

量子物理 · 物理学 2021-11-30 Diego Paiva Pires , Thiago R. de Oliveira

We report on a time scaling technique to enhance the performances of quantum protocols in non-Hermitian systems. The considered time scaling involves no extra-couplings and yields a significant enhancement of the quantum fidelity for a…

量子物理 · 物理学 2021-12-08 F. Impens , F. M. D'Angelis , F. A. Pinheiro , D. Guéry-Odelin

We derive a Geometric quantum speed limit (QSL) for imaginary-time evolution, where the dynamics is governed by a non-unitary Schr\"{o}dinger equation. By introducing a cost function based on the angular distance between the normalized…

量子物理 · 物理学 2025-08-15 Kohei Kobayashi

In this paper, we investigate the relationship between the quantum speedup, nonMarkovianity and formation of a system-environment bound state. Previous results show a monotonic relation between these three such that providing stronger bound…

量子物理 · 物理学 2019-10-22 Bahram Ahansaz , Abbas Ektesabi

We propose a quantum state distance and develop a family of geometrical quantum speed limits (QSLs) for open and closed systems. The QSL time includes an alternative function by which we derive three QSL times with particularly chosen…

量子物理 · 物理学 2025-06-18 Zi-yi Mai , Zheng Liu , Chang-shui Yu

It has recently been shown that small quantum subsystems generically equilibrate, in the sense that they spend most of the time close to a fixed equilibrium state. This relies on just two assumptions: that the state is spread over many…

量子物理 · 物理学 2015-05-30 Anthony J. Short , Terence C. Farrelly

The maximal evolution speed of a quantum system can be represented by quantum speed limit time (QSLT).We investigate QSLT of a two-qubit system passing through a correlated channel (amplitude damping, phase damping, and depolarizing).By…

量子物理 · 物理学 2019-11-20 Kai Xu , Guo-Feng Zhang , Wu-Ming Liu

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…

量子物理 · 物理学 2022-12-07 Brij Mohan , Arun Kumar Pati

With a choice of boundary conditions for solutions of the Schr\"odinger equation, state vectors and density operators even for closed systems evolve asymmetrically in time. For open systems, standard quantum mechanics consequently predicts…

量子物理 · 物理学 2010-05-25 P. W. Bryant

In the present work we recall and extend the results of previous work concerning the time evolution of open quantum systems. We show how general properties of such systems are related to their structure properties, those of their…

量子物理 · 物理学 2016-06-01 Tarek Khalil , Jean Richert

This paper is devoted to the description of the evolution of states of quantum many-particle systems within the framework of a one-particle density operator, which enables to construct the kinetic equations in scaling limits in the presence…

数学物理 · 物理学 2012-09-07 V. I. Gerasimenko , Zh. A. Tsvir

Quantum sensors capitalize on advanced control sequences for maximizing sensitivity and precision. However, protocols are not usually optimized for temporal resolution. Here, we establish the limits for time-resolved sensing of dynamical…

量子物理 · 物理学 2024-12-12 Konstantin Herb , Christian L. Degen

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…

We present here a set of lecture notes on quantum systems with time-dependent boundaries. In particular, we analyze the dynamics of a non-relativistic particle in a bounded domain of physical space, when the boundaries are moving or…

数学物理 · 物理学 2015-05-08 Sara Di Martino , Paolo Facchi

We present explicit evaluations of quantum speed limit times pertinent to the Markovian dynamics of an open continuous-variable system. Specifically, we consider the standard setting of a cavity mode of the quantum radiation field weakly…

量子物理 · 物理学 2021-07-05 Paulina Marian , Tudor A. Marian

The time evolution of the trace distance between two states of an open quantum system may increase due to initial system-environment correlations, thus exhibiting a breakdown of distance contractivity of the reduced dynamics. We analyze how…

量子物理 · 物理学 2016-08-14 Jerzy Dajka , Jerzy Łuczka , Peter Hänggi

Fluctuation dynamics of an experimentally measured observable offer a primary signal for nonequilibrium systems, along with dynamics of the mean. While universal speed limits for the mean have actively been studied recently, constraints for…

统计力学 · 物理学 2024-11-08 Ryusuke Hamazaki

Distance to Uncontrollability is a crucial concept in classical control theory. Here, we introduce Quantum Distance to Uncontrollability as a measure how close a universal quantum system is to a non-universal one. This allows us to provide…

量子物理 · 物理学 2022-04-06 Daniel Burgarth , Jeff Borggaard , Zoltán Zimborás

Entanglement is closely related to some fundamental features of the dynamics of composite quantum systems: quantum entanglement enhances the "speed" of evolution of certain quantum states, as measured by the time required to reach an…

量子物理 · 物理学 2011-11-10 A. Borras , C. Zander , A. R. Plastino , M. Casas , A. Plastino

Quantum speed limit (QSL) under noise has drawn considerable attention in real quantum computational processes and quantum communication. Though non-Markovian noise is proven to be able to accelerate quantum evolution for a damped…

量子物理 · 物理学 2014-03-18 Z. Y. Xu , S. Q. Zhu
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