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Related papers: Quantum Speed Limit for Time-Fractional Open Syste…

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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…

Quantum Physics · Physics 2025-08-15 Kohei Kobayashi

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 (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

We establish a comprehensive theoretical framework for coherent quantum speed limits (QSLs), deriving fundamental bounds on the rate of quantum evolution that explicitly isolate the contribution of quantum coherence. By applying H\"older's…

Quantum Physics · Physics 2026-03-25 Xuhui Xiao , Hai Wang , Xingze Qiu

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

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

The speed limit provides an upper bound for the dynamical evolution time of a quantum system. Here, we introduce the notion of quantum acceleration limit for unitary time evolution of quantum systems under time-dependent Hamiltonian. We…

Quantum Physics · Physics 2023-12-20 Arun Kumar Pati

We present a class of generalized entropic quantum speed limits based on $\alpha$-$z$-R\'{e}nyi relative entropy, a real-valued, contractive, two-parameter family of distinguishability measures. The quantum speed limit (QSL) falls into the…

Quantum Physics · Physics 2025-07-21 Jucelino Ferreira de Sousa , Diego Paiva Pires

Quantum Speed Limits (QSLs) rule the minimum time for a quantum state to evolve into a distinguishable state in an arbitrary physical process. These fundamental results constrain a notion of distance travelled by the quantum state, known as…

Quantum Physics · Physics 2021-05-10 Adolfo del Campo

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…

Quantum Physics · Physics 2023-02-01 Shrobona Bagchi , Abhay Srivastav , Arun Kumar Pati

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…

Quantum Physics · Physics 2022-04-14 Sergio Albeverio , Alexander K. Motovilov

A unified bound on the quantum speed limit is obtained for open quantum systems with the mixed initial state by utilizing the function of relative purity proposed in [Phys. Rev. Lett. 120, 060409 (2018)]. As applications, it is found that…

Quantum Physics · Physics 2018-10-31 Shao-xiong Wu , Chang-shui Yu

We derive a Margolus-Levitin type bound on the minimal evolution time of an arbitrarily driven open quantum system. We express this quantum speed limit time in terms of the operator norm of the nonunitary generator of the dynamics. We apply…

Quantum Physics · Physics 2013-07-04 Sebastian Deffner , Eric Lutz

We discuss quantum speed limits (QSLs) for finite-dimensional quantum systems undergoing general physical processes. These QSLs were obtained using Schatten $\alpha$-norms, firstly exploiting geometric features of the quantum state space,…

Quantum Physics · Physics 2025-07-23 Alberto J. B. Rosal , Diogo O. Soares-Pinto , Diego Paiva Pires

Quantum mechanics imposes a lower bound on the time required for a quantum system to reach certain given targets. In this paper, from a geometric perspective, we introduce a new quantum speed limit (QSL) based on the Bloch angle and derive…

Quantum Physics · Physics 2025-07-02 Qianyi Wang , Ben Wang , Jun Wang , Lijian Zhang

Non-classical features of quantum systems can degrade when subjected to environment and noise. Here, we ask a fundamental question: What is the minimum amount of time it takes for a quantum system to exhibit non-classical features in the…

Quantum Physics · Physics 2024-09-23 Divyansh Shrimali , Swapnil Bhowmick , Arun Kumar Pati

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

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…

Quantum Physics · Physics 2024-12-12 Konstantin Herb , Christian L. Degen

Quantum speed limit time defines the limit on the minimum time required for a quantum system to evolve between two states. Investigation of bounds on speed limit time of quantum system under non-unitary evolution is of fundamental interest,…

Quantum Physics · Physics 2022-10-04 K. G Paulson , Subhashish Banerjee , R. Srikanth

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…

Statistical Mechanics · Physics 2021-05-05 Naoto Shiraishi , Keiji Saito