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The problem concerning the minimum time for an initial state to evolve up to a target state plays an important role in the Classic Optimal Control theory. In the quantum context, as quantum states are so sensitive to environmental…

量子物理 · 物理学 2015-09-01 Alexandre Coutinho Lisboa , Jose Roberto Castilho Piqueira

Using the approach offered by quantum speed limit, we show that geometric measure of multipartite entanglement for pure states [Phys. Rev. A 68, 042307(2003)] can be interpreted as the minimal time necessary to unitarily evolve a given…

量子物理 · 物理学 2021-09-29 Łukasz Rudnicki

The quantum speed of evolution for the phase covariant map is investigated. This involves absorption, emission and dephasing processes. We consider the maps under various combinations of the above processes to investigate the effect of…

量子物理 · 物理学 2022-12-06 Riya Baruah , K. G. Paulson , Subhashish Banerjee

A remarkably simple result is derived for the minimal time $T_{\rm min}$ required to drive a general initial state to a final target state by a Landau-Zener type Hamiltonian or, equivalently, by time-dependent laser driving. The associated…

量子物理 · 物理学 2015-06-16 Gerhard C. Hegerfeldt

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…

广义相对论与量子宇宙学 · 物理学 2022-06-22 Klaus Liegener , Łukasz Rudnicki

The reverse quantum speed limit (RQSL) gives an upper limit to the time for evolution between initial and final quantum states. We show that, in conjunction with the existence of a minimum time scale, the RQSL implies a lower limit to the…

量子物理 · 物理学 2022-03-29 Mark A. Rubin

The speed of quantum evolution is limited under finite energy resources. While most quantum speed limits (QSLs) are formulated in terms of quantum states, they can be extended to the evolution operator itself, and thus impose fundamental…

量子物理 · 物理学 2026-04-28 Hunter Nelson , Edwin Barnes

Finding minimal time and establishing the structure of the corresponding optimal controls which can transfer a given initial state of a quantum system into a given target state is a key problem of quantum control. In this work, this problem…

量子物理 · 物理学 2025-02-21 L. V. Lokutsievskiy , A. N. Pechen , M. I. Zelikin

We studied geometric quantum speed limits (QSL) of a qubit subject to decoherence in an ensemble of chloroform molecules in a Nuclear Magnetic Resonance experiment. The QSL is a fundamental lower bound on the evolution time for quantum…

We introduce action quantum speed limits (QSLs) as a family of bounds on the minimal time to connect two states that, unlike the usual geometric approach, crucially depend on how the path is traversed, i.e. on the instantaneous speed. The…

量子物理 · 物理学 2021-02-19 Eoin O'Connor , Giacomo Guarnieri , Steve Campbell

We introduce state-independent, non-perturbative Hamiltonian quantum speed limits for population leakage and fidelity loss, for a gapped open system interacting with a reservoir. These results hold in the presence of initial correlations…

量子物理 · 物理学 2015-11-20 Iman Marvian , Daniel A. Lidar

We derive rigorous upper bounds on the distance between quantum states in an open system setting, in terms of the operator norm between the Hamiltonians describing their evolution. We illustrate our results with an example taken from…

量子物理 · 物理学 2008-08-14 D. A. Lidar , P. Zanardi , K. Khodjasteh

The speed limits on entanglement are defined as the maximal rate at which entanglement can be generated or degraded in a physical process. We derive the speed limits on entanglement, using the relative entropy of entanglement and…

量子物理 · 物理学 2025-10-01 Vivek Pandey , Swapnil Bhowmick , Brij Mohan , Sohail , Ujjwal Sen

The quantum speed limit (QSL), or the energy-time uncertainty relation, describes the fundamental maximum rate for quantum time evolution and has been regarded as being unique in quantum mechanics. In this study, we obtain a classical speed…

量子物理 · 物理学 2018-02-15 Manaka Okuyama , Masayuki Ohzeki

We derive generic upper bounds on the rate of purity change and entropy increase for open quantum systems. These bounds depend solely on the generators of the nonunitary dynamics and are independent of the particular states of the systems.…

量子物理 · 物理学 2014-08-07 Raam Uzdin , Eric Lutz , Ronnie Kosloff

In quantum control, quantum speed limits provide fundamental lower bounds on the time that is needed to implement certain unitary transformations. Using Lie algebraic methods, we link these speed limits to symmetries of the control…

量子物理 · 物理学 2026-02-12 Marco Wiedmann , Daniel Burgarth

The study and control of coherence in quantum systems is one of the most exciting recent developments in physics. Quantum coherence plays a crucial role in emerging quantum technologies as well as fundamental experiments. A major obstacle…

量子物理 · 物理学 2014-03-04 Daniel Oi , Sophie Schirmer

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…

量子物理 · 物理学 2026-03-25 Xuhui Xiao , Hai Wang , Xingze Qiu

In this article, we consider single, and two-qubit central spin systems interacting with spin baths and discuss their dynamical properties. We consider the cases of interacting and non-interacting spin baths and investigate the quantum…

量子物理 · 物理学 2023-03-28 Devvrat Tiwari , K. G. Paulson , Subhashish Banerjee

Quantum collision models allow for the dynamics of open quantum systems to be described by breaking the environment into small segments, typically consisting of non-interacting harmonic oscillators or two-level systems. This work introduces…

量子物理 · 物理学 2025-10-10 Anton Corr , Stefano Cusumano , Gabriele De Chiara