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Related papers: Margolus-Levitin quantum speed limit for an arbitr…

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The Margolus-Levitin lower bound on minimal time required for a state to be transformed into an orthogonal state is generalized. It is shown that for some initial states new bound is stronger than the Margolus-Levitin one.

Quantum Physics · Physics 2009-11-13 Bartosz Zielinski , Magdalena Zych

We prove that the time required for sustained information scrambling in any Hamiltonian quantum system is universally at least logarithmic in the entanglement entropy of scrambled states. This addresses two foundational problems in…

Quantum Physics · Physics 2024-04-25 Amit Vikram , Laura Shou , Victor Galitski

Quantum trajectories are Markov processes modeling the evolution of a quantum system subjected to repeated independent measurements. Under purification and irreducibility assumptions, these Markov processes admit a unique invariant measure…

Probability · Mathematics 2023-07-13 Tristan Benoist , Jan-Luka Fatras , Clément Pellegrini

We provide two inequalities for estimating adiabatic fidelity in terms of two other more handily calculated quantities, i.e., generalized orthogonality catastrophe and quantum speed limit. As a result of considering a two-dimensional…

Quantum Physics · Physics 2022-11-01 Jyong-Hao Chen , Vadim Cheianov

We investigate the roles of the relativistic effect on the speed of evolution of a quantum system coupled with amplitude damping channels. We find that the relativistic effect speed-up the quantum evolution to a uniform evolution speed of…

Quantum Physics · Physics 2024-01-30 N. A. Khan , M. Jan

The Bremermann-Bekenstein bound sets a fundamental upper limit on the rate with which information can be processed. However, the original treatment heavily relies on cosmological properties and plausibility arguments. In the present…

Quantum Physics · Physics 2020-02-18 Sebastian Deffner

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…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Klaus Liegener , Łukasz Rudnicki

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…

Quantum Physics · Physics 2020-06-09 Yanyan Shao , Bo Liu , Mao Zhang , Haidong Yuan , Jing Liu

In recent years, Arenz et al. proposed the idea of reachable set characterization based on the quantum speed limit (QSL); that is, the reachable set of the target unitary gate in a closed qubit system can be characterized by considering the…

Quantum Physics · Physics 2022-04-27 Kohei Kobayashi

We investigate the speed limit of the state transformation in open quantum systems described by the Lindblad type quantum master equation. We obtain universal bounds of the total entropy production described by the trace distance between…

Statistical Mechanics · Physics 2022-10-05 Satoshi Nakajima , Yasuhiro Utsumi

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…

Quantum Physics · Physics 2019-11-20 Kai Xu , Guo-Feng Zhang , Wu-Ming Liu

We discuss a class of quantum speed limits (QSLs) based on unified quantum ($\alpha,\mu$)-entropy for nonunitary physical processes. The bounds depend on both the Schatten speed and the smallest eigenvalue of the evolved state, and the…

Quantum Physics · Physics 2022-07-06 Diego Paiva Pires

We introduce a quantum convolution and a conceptual framework to study states in discrete-variable (DV) quantum systems. All our results suggest that stabilizer states play a role in DV quantum systems similar to the role Gaussian states…

Quantum Physics · Physics 2023-06-16 Kaifeng Bu , Weichen Gu , Arthur Jaffe

Recently the continuous time algorithm based on the generalized quantum search Hamiltonian was presented. In this letter, we consider the running time of the generalized quantum search Hamiltonian. We provide the surprising result that the…

Quantum Physics · Physics 2007-05-23 Joonwoo Bae , Younghun Kwon

Quantum asymmetry and coherence are genuinely quantum resources that are essential to realize quantum advantage in information technologies. However, all quantum processes are fundamentally constrained by quantum speed limits, which raises…

Quantum Physics · Physics 2026-04-28 Agung Budiyono , Michael Moody , Hadyan L. Prihadi , Rafika Rahmawati , Sebastian Deffner

Quantum theory sets the bound on the minimal evolution time between initial and final states of the quantum system. This minimal evolution time can be used to specify the maximal speed of the evolution in open and closed quantum systems.…

Quantum Physics · Physics 2019-09-04 S. Haseli

The minimum time a system needs to change from an initial state to a final orthogonal state is called quantum speed limit time. Quantum speed limit time can be used to quantify the speed of the quantum evolution. The speed of the quantum…

Quantum Physics · Physics 2020-06-19 S. Haseli

The quantum speed limit (QSL), or the energy-time uncertainty relation, gives a fundamental speed limit for quantum dynamics. Recently, Kieu [arXiv:1702.00603] derived a new class of QSL which is not only formal but also suitable for…

Statistical Mechanics · Physics 2018-06-26 Manaka Okuyama , Masayuki Ohzeki

The average time $T$ required for high-fidelity readout of quantum states can be significantly reduced via a real-time adaptive decision rule. An adaptive decision rule stops the readout as soon as a desired level of confidence has been…

Quantum Physics · Physics 2016-02-25 B. D'Anjou , L. Kuret , L. Childress , W. A. Coish

Research in quantum information science aims to surpass the scaling limitations of classical information processing. From a physicist's perspective, performance improvement involves a physical speedup in the quantum domain, achieved by…

Quantum Physics · Physics 2024-07-10 Farha Yasmin , Jan Sperling
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