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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

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

We extend the work in New J. Phys. 19, 103015 (2017) by deriving a lower bound for the minimum time necessary to implement a unitary transformation on a generic, closed quantum system with an arbitrary number of classical control fields.…

Quantum Physics · Physics 2018-07-04 Juneseo Lee , Christian Arenz , Herschel Rabitz , Benjamin Russell

The quantum speed limit sets a bound on the minimum time required for a quantum system to evolve between two states. For open quantum systems this quantity depends on the dynamical map describing the time evolution in presence of the…

Quantum Physics · Physics 2020-09-11 Jose Teittinen , Henri Lyyra , Sabrina Maniscalco

The quantum speed limit and the Wigner function of open system models are studied. To this end, we use the phase covariant and a two-qubit model interacting with a squeezed thermal bath via position-dependent coupling. The dependence of the…

Quantum Physics · Physics 2025-04-18 Arti Gaharwar , Devvrat Tiwari , Subhashish Banerjee

We describe a protocol for perfectly transferring a quantum state from one party to another under the dynamics of a fixed, engineered Hamiltonian. Our protocol combines the concepts of fractional revival, dual rail encoding, and a rare…

Quantum Physics · Physics 2023-07-19 Weichen Xie , Alastair Kay , Christino Tamon

Quantum speed limit, furnishing a lower bound on the required time for the evolution of a quantum system through the state space, imposes an ultimate natural limitation to the dynamics of physical devices. Quantum absorption refrigerators,…

Quantum Physics · Physics 2018-06-13 Chiranjib Mukhopadhyay , Avijit Misra , Samyadeb Bhattacharya , Arun Kumar Pati

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…

Quantum Physics · Physics 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…

Quantum Physics · Physics 2014-05-08 Ole Andersson , Hoshang Heydari

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…

Quantum Physics · Physics 2021-12-08 F. Impens , F. M. D'Angelis , F. A. Pinheiro , D. Guéry-Odelin

We study time-optimal protocols for controlling quantum systems which show several avoided level crossings in their energy spectrum. The structure of the spectrum allows us to generate a robust guess which is time-optimal at each crossing.…

Quantum Physics · Physics 2015-11-18 P. M. Poggi , F. C. Lombardo , D. A. Wisniacki

Cooling quantum systems is arguably one of the most important thermodynamic tasks connected to modern quantum technologies and an interesting question from a foundational perspective. It is thus of no surprise that many different…

The question of how fast a quantum state can evolve is considered. Using the definition of squared speed based on the Euclidean distance given in [Phys. Rev. Research, {\bf 2}, 033127 (2019)], we present a systematic framework to obtain the…

Quantum Physics · Physics 2024-02-05 Ashraf Naderzadeh-ostad , Seyed Javad Akhtarshenas

The concept of quantum acceleration limit has been recently introduced for any unitary time evolution of quantum systems under arbitrary nonstationary Hamiltonians. While Alsing and Cafaro [Int. J. Geom. Methods Mod. Phys. 21, 2440009…

Quantum Physics · Physics 2024-11-27 Carlo Cafaro , Christian Corda , Newshaw Bahreyni , Abeer Alanazi

Every quantum operation that takes a system from one state to another is known to have bounds on operation time, due to Heisenberg uncertainty principle. In open quantum systems (OQS), such bounds have been principally affected by system…

Quantum Physics · Physics 2025-04-11 Sarfraj Fency , Riddhi Chatterjee , Rangeet Bhattacharyya

Standard quantum speed limits presuppose exactly known parameters, overestimating operational speed under calibration uncertainty. We introduce a projected speed limit based on the quantum Fisher information that profiles out these nuisance…

Quantum Physics · Physics 2026-05-28 Salman Sajad Wani , Saif Al-Kuwari

In quantum systems theory one of the fundamental problems boils down to: given an initial state, which final states can be reached by the dynamic system in question. Here we consider infinite dimensional open quantum dynamical systems…

Quantum Physics · Physics 2024-03-12 Frederik vom Ende , Gunther Dirr , Michael Keyl , Thomas Schulte-Herbrüggen

We derive generalizations of the energy-time uncertainty relation for driven quantum systems. Using a geometric approach based on the Bures length between mixed quantum states, we obtain explicit expressions for the quantum speed limit…

Quantum Physics · Physics 2013-08-08 Sebastian Deffner , Eric Lutz

Complete quantum charging provides a sharp setting in which to ask how much multipartite entanglement is forced by speed itself. For a closed \(N\)-qubit battery evolving from \(\ket{\downarrow}^{\otimes N}\) to \(\ket{\uparrow}^{\otimes…

Quantum Physics · Physics 2026-05-19 Wenlong Sun , Gang Lu , Yuanfeng Jin

Quantum linear system algorithms (QLSAs) for gate-based quantum computing can provide exponential speedups for solving linear systems but face challenges when applied to finite element problems due to the growth of the condition number with…

Quantum Physics · Physics 2023-10-20 Osama Muhammad Raisuddin , Suvranu De