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Geometric quantum speed limits quantify the trade-off between the rate with which quantum states can change and the resources that are expended during the evolution. Counterdiabatic driving is a unique tool from shortcuts to adiabaticity to…

Quantum Physics · Physics 2020-07-29 Ricardo Puebla , Sebastian Deffner , Steve Campbell

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

A recent discussion of quantum limitations to the fidelity with which superpositions of internal atomic energy levels can be generated by an applied, quantized, laser pulse is shown to be based on unrealistic physical assumptions. This…

Quantum Physics · Physics 2009-11-07 W. M. Itano

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…

Quantum Physics · Physics 2017-02-22 Abbas Ektesabi , Naghi Behzadi , Esfandyar Faizi

Traditional quantum speed limits formulated in density matrix space are generally unattainable for a wide class of dynamics and it is difficult to characterize the fastest possible dynamics. To address this, we present two distinct quantum…

Quantum Physics · Physics 2025-11-04 Abhay Srivastav , Vivek Pandey , Brij Mohan , Arun Kumar Pati

The quantum speed limit is a fundamental upper bound on the speed of quantum evolution. However, the actual mathematical expression of this fundamental limit depends on the choice of a measure of distinguishability of quantum states. We…

Quantum Physics · Physics 2017-10-31 Sebastian Deffner

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.…

Quantum Physics · Physics 2019-08-07 Francesco Campaioli , Felix A. Pollock , Kavan Modi

We prove a maximal velocity bound for the dynamics of Markovian open quantum systems. The dynamics are described by one-parameter semi-groups of quantum channels satisfying the von Neumann-Lindblad equation. Our result says that dynamically…

Quantum Physics · Physics 2022-07-20 Sébastien Breteaux , Jérémy Faupin , Marius Lemm , Israel Michael Sigal

We provide a complete characterization of all finite-dimensional quantum systems that saturate the Margolus-Levitin quantum speed limit at arbitrary Uhlmann-Jozsa fidelity. Employing a purification-based approach, we prove that mixed-state…

Quantum Physics · Physics 2026-02-16 Ole Sönnerborn

We investigate if physical laws can impose limit on computational time and speed of a quantum computer built from elementary particles. We show that the product of the speed and the running time of a quantum computer is limited by the type…

Quantum Physics · Physics 2015-06-26 A. K. Pati , S. R. Jain , A. Mitra , R. Ramanna

It is known that secondary non-stoquastic drivers may offer speed-ups or catalysis in some models of adiabatic quantum computation accompanying the more typical transverse field driver. Their combined intent is to raze potential barriers to…

Quantum Physics · Physics 2019-04-02 Gabriel A. Durkin

We investigate the coherence and steady-state properties of the Jaynes-Cummings model subjected to time-delayed coherent feedback in the regime of multiple excitations. The introduced feedback qualitatively modifies the dynamical response…

Quantum Physics · Physics 2020-06-23 Nikolett Német , Scott Parkins , Victor Canela , Alexander Carmele

The speed of quantum computation is investigated through the time evolution of the speed of the orthogonality. The external field components for classical treatment beside the detuning and the coupling parameters for quantum treatment play…

Quantum Physics · Physics 2009-11-13 N. Metwally , M. Abdel-Aty , M. Sebawe Abdalla

The Mandelstam-Tamm quantum speed limit puts a bound on how fast a closed system in a pure state can evolve. In this paper, we derive several extensions of this quantum speed limit to closed systems in mixed states. We also compare the…

Quantum Physics · Physics 2022-06-03 Niklas Hörnedal , Dan Allan , Ole Sönnerborn

Optimal control theory is a promising candidate for a drastic improvement of the performance of quantum information tasks. We explore its ultimate limit in paradigmatic cases, and demonstrate that it coincides with the maximum speed limit…

A long-lived prethermal state may emerge upon a sudden quench of a quantum system. In this paper, we study a quantum quench of an initial {\it critical} state, and show that the resulting prethermal state exhibits a genuinely quantum and…

Quantum Gases · Physics 2017-09-15 Mohammad F. Maghrebi

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.…

Quantum Physics · Physics 2024-12-09 Divyansh Shrimali , Biswaranjan Panda , Arun Kumar Pati

We investigate the nature of quantum jumps occurring between macroscopic metastable states of light in the open driven Jaynes-Cummings model. We find that, in the limit of zero spontaneous emission considered in [H. J. Carmichael, Phys.…

Quantum Physics · Physics 2026-01-12 Th. K. Mavrogordatos

We study a quantum quench of the mass and the interaction in the Sinh-Gordon model starting from a large initial mass and zero initial coupling. Our focus is on the determination of the expansion of the initial state in terms of post-quench…

Statistical Mechanics · Physics 2014-10-07 Spyros Sotiriadis , Gabor Takacs , Giuseppe Mussardo

We study the competing effects of stimulated and spontaneous emission on the information capacity of an amplifying disordered waveguide. At the laser threshold the capacity reaches a "universal" limit, independent of the degree of disorder.…

Quantum Physics · Physics 2007-05-23 J. Tworzydlo , C. W. J. Beenakker
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