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The traditional quantum speed limits are not attainable for many physical processes, as they tend to be loose and fail to determine the exact time taken by quantum systems to evolve. To address this, we derive exact quantum speed limits for…

量子物理 · 物理学 2023-08-30 Arun K. Pati , Brij Mohan , Sahil , Samuel L. Braunstein

Quantum speed limits such as the Mandelstam-Tamm or Margolus-Levitin bounds offer a quantitative formulation of the energy-time uncertainty principle that constrains dynamics over short times. We show that the spectral form factor, a…

量子物理 · 物理学 2024-02-06 Amit Vikram , Victor Galitski

The presence of noise or the interaction with an environment can radically change the dynamics of observables of an otherwise isolated quantum system. We derive a bound on the speed with which observables of open quantum systems evolve.…

Bounds to the speed of evolution of a quantum system are of fundamental interest in quantum metrology, quantum chemical dynamics and quantum computation. We derive a time-energy uncertainty relation for open quantum systems undergoing a…

量子物理 · 物理学 2013-03-05 A. del Campo , I. L. Egusquiza , M. B. Plenio , S. F. Huelga

The speed of evolution between perfectly distinguishable states is thoroughly analyzed in a closed three-level (qutrit) quantum system. Considering an evolution under an arbitrary time-independent Hamiltonian, we fully characterize the…

In this work, we investigate the role of functionals of generalized fidelity measures in deriving quantum speed limits (QSLs) within a geometric approach. We establish a general theoretical framework and show that, once a specific…

量子物理 · 物理学 2026-02-25 Tristán M. Osán , Yanet Álvarez , Mariela Portesi , Pedro Walter Lamberti

Quantum speed limits are the boundaries that define how quickly one quantum state can transform into another. Instead of focusing on the transformation between pairs of states, we provide bounds on the speed limit of quantum evolution by…

量子物理 · 物理学 2025-11-10 Abolfazl Farmanian , Vahid Karimipour

We discuss quantum speed limits (QSLs) for finite-dimensional quantum systems undergoing general physical processes. These QSLs were obtained using two families of entropic measures, namely the square root of the Jensen-Shannon divergence,…

量子物理 · 物理学 2026-04-13 Jucelino Ferreira de Sousa , Diego Paiva Pires

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…

量子物理 · 物理学 2026-02-16 Ole Sönnerborn

The quantum speed limit (QSL) refers to the maximum speed of a quantum system to evolve from an initial state to its orthogonal states. The bound on the QSL for Hermitian systems, for example the Mandelstam-Tamm (MT) and Margolus-Levitin…

量子物理 · 物理学 2026-05-25 Zhanxi Wang , Xiaozhe Hao , X. X. Yi

Quantum speed limits set fundamental lower bounds on the time required for a quantum system to evolve between states. Traditional bounds, such as those by Mandelstam-Tamm and Margolus-Levitin, rely on state distinguishability and become…

量子物理 · 物理学 2026-02-18 Ole Sönnerborn

The Margolus-Levitin Theorem is a limitation on the minimal evolving time of a quantum system from its initial state to its orthogonal state. It also supplies a bound on the maximal operations or events can occur within a volume of…

高能物理 - 理论 · 物理学 2008-05-29 Qiaojun Cao , Yi-Xin Chen , Jian-Long Li

The Bhatia-Davis theorem provides a useful upper bound for the variance in mathematics, and in quantum mechanics, the variance of a Hamiltonian is naturally connected to the quantum speed limit due to the Mandelstam-Tamm bound. Inspired by…

量子物理 · 物理学 2021-12-02 Jing Liu , Zibo Miao , Libin Fu , Xiaoguang Wang

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…

量子物理 · 物理学 2020-09-11 Jose Teittinen , Henri Lyyra , Sabrina Maniscalco

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…

量子物理 · 物理学 2022-04-14 Sergio Albeverio , Alexander K. Motovilov

Timing and phase resolution in satellite QKD, kilometre-scale gravitational-wave detectors, and space-borne clock networks hinge on quantum-speed limits (QSLs), yet benchmarks omit relativistic effects for coherent and squeezed probes. We…

量子物理 · 物理学 2025-11-27 Salman Sajad Wani , Aatif Kaisar Khan , Saif Al-Kuwari , Mir Faizal

We derive a family of quantum speed limit results in time independent systems with pure states and a finite dimensional state space, by using a geometric method based on right invariant action functionals on SU(N). The method relates speed…

量子物理 · 物理学 2014-10-14 Benjamin Russell , Susan Stepney

Quantum speed limits are relations yielding lower bounds on the evolution time of quantum systems. These results have been generalized in some ways, in particular by including evolutions to non-orthogonal states. However, there was a gap in…

量子物理 · 物理学 2014-07-17 M. M. Taddei

We derive Margolus-Levitin and Mandelstamm-Tamm type bound on the quantum speed limit time for the creation and decay of quantum correlations by an amount in a quantum system evolving under the influence of its ambient environment. The…

量子物理 · 物理学 2022-05-25 K. G Paulson , Subhashish Banerjee

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…

量子物理 · 物理学 2025-07-21 Jucelino Ferreira de Sousa , Diego Paiva Pires