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We cast observable measure of quantum coherence or asymmetry as a resource to control the quantum speed limit (QSL) for unitary evolutions. For non-unitary evolutions, QSL depends on that of the state of the system and environment together.…

量子物理 · 物理学 2016-02-17 Debasis Mondal , Chandan Datta , Sk Sazim

Quantum speed limit (QSL) is a fundamental concept in quantum mechanics and provides a lower bound on the evolution time. The attainability of QSL, greatly depending on the understanding of QSL, is a long-standing open problem especially…

量子物理 · 物理学 2025-11-07 Zi-yi Mai , Chang-shui Yu

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

Quantum speed limits provide ultimate bounds on the time required to transform one quantum state into another. Here, we extend the notion of quantum speed limits to collections of quantum states, investigating the time for converting a…

Quantum speed limits (QSLs) provide an upper bound for the speed of evolution of quantum states in any physical process. Based on the Stratonovich-Weyl correspondence, we derive a universal QSL bound in arbitrary phase spaces that is…

量子物理 · 物理学 2023-08-25 Weiquan Meng , Zhenyu Xu

Coherence is the most fundamental quantum resource in quantum information processing. How fast a physical system gets coherence or decoherence is a critical ingredient. We present an attainable quantum speed limit based on the variation of…

量子物理 · 物理学 2025-10-07 Zi-yi Mai , CHang-shui Yu

Quantum speed limits set an upper bound to the rate at which a quantum system can evolve. Adopting a phase-space approach we explore quantum speed limits across the quantum to classical transition and identify equivalent bounds in the…

量子物理 · 物理学 2018-02-14 B. Shanahan , A. Chenu , N. Margolus , A. del Campo

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 study the minimum time related to the quantum speed limit that characterizes the evolution of an open quantum system with the help of a simple model in the short and long time limits. We compare in particular the situation corresponding…

量子物理 · 物理学 2016-04-12 Jean Richert , Tarek Khalil

We develop an intuitive geometric picture of quantum states, define a particular state distance, and derive a quantum speed limit (QSL) for open systems. Our QSL is attainable because any initial state can be driven to a final state by the…

量子物理 · 物理学 2023-11-15 Zi-yi Mai , Chang-shui Yu

Quantum speed limits provide upper bounds on the rate with which a quantum system can move away from its initial state. Here, we provide a different kind of speed limit, describing the divergence of a perturbed open system from its…

量子物理 · 物理学 2024-08-28 Benjamin Yadin , Satoya Imai , Otfried Gühne

Quantum speed limit focuses on the minimum time scale for a fixed mission and hence is important in quantum information where fast dynamics is usually beneficial. Most existing tools for the depiction of quantum speed limit are the…

量子物理 · 物理学 2023-10-09 Mao Zhang , Huai-Ming Yu , Jing Liu

Quantum speed limits (QSLs) identify fundamental time scales of physical processes by providing lower bounds on the rate of change of a quantum state or the expectation value of an observable. We introduce a generalization of QSL for…

量子物理 · 物理学 2022-12-28 Nicoletta Carabba , Niklas Hörnedal , Adolfo del Campo

Setting the minimal-time bound for a quantum system to evolve between two distinguishable states, the quantum speed limit (QSL) characterizes the latent capability in speeding up of the system. It has found applications in determining the…

量子物理 · 物理学 2023-02-02 Wei Wu , Jun-Hong An

We derive a quantum speed limit for mixed quantum states using the stronger uncertainty relation for mixed quantum states and unitary evolution. We also show that this bound can be optimized over different choices of operators for obtaining…

量子物理 · 物理学 2024-02-14 Shrobona Bagchi , Dimpi Thakuria , Arun Kumar Pati

The quantum speed limit specifies a universal bound of the fidelity between the initial state and the time-evolved state. We apply this method to find a bound of the fidelity between the adiabatic state and the time-evolved state. The bound…

量子物理 · 物理学 2020-07-22 Keisuke Suzuki , Kazutaka Takahashi

The attempt to gain a theoretical understanding of the concept of time in quantum mechanics has triggered significant progress towards the search for faster and more efficient quantum technologies. One of such advances consists in the…

Quantum mechanics imposes fundamental constraints known as quantum speed limits (QSLs) on the information processing speed of all quantum systems. Every QSL known to date comes from the restriction imposed on the evolution time between two…

量子物理 · 物理学 2015-06-12 H. F. Chau

Limitations to the speed of evolution of quantum systems, typically referred to as quantum speed limits (QSLs), have important consequences for quantum control problems. However, in its standard formulation, is not straightforward to obtain…

量子物理 · 物理学 2022-01-06 Pablo M. Poggi

In this paper, we propose a concept to use a quantum speed limit (QSL) as a measure of robustness of states, defining that a state with bigger QSL is more robust. In this perspective, it is important to have an explicitly-computable QSL,…

量子物理 · 物理学 2020-10-21 Kohei Kobayashi , Naoki Yamamoto
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