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We analyze the influence of relativistic effects on the minimum evolution time between two orthogonal states of a quantum system. Defining the initial state as an homogeneous superposition between two Hamiltonian eigenstates of an electron…

Quantum Physics · Physics 2015-10-14 David V. Villamizar , Eduardo I. Duzzioni

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

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,…

Quantum Physics · Physics 2020-10-21 Kohei Kobayashi , Naoki Yamamoto

The maximal evolution speed of a quantum system can be represented by quantum speed limit time (QSLT).We investigate QSLT of a two-qubit system passing through a correlated channel (amplitude damping, phase damping, and depolarizing).By…

Quantum Physics · Physics 2019-11-20 Kai Xu , Guo-Feng Zhang , Wu-Ming Liu

We derive closed-form analog quantum-speed-limit (QSL) bounds for highly nonlocal optical beams whose paraxial propagation is mapped to a reversed (inverted) harmonic-oscillator generator. Treating the longitudinal coordinate $z$ as an…

Quantum Physics · Physics 2025-12-01 Salman Sajad Wani , Xiaoping Shi , Saif- Al-Kuwari , Arshid Shabir , Mir Faizal

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

Quantum state change can not occurs instantly, but the speed of quantum evolution is limited to an upper bound value, called quantum speed limit (QSL). Engineering QSL is an important task for quantum information and computation science and…

Quantum Physics · Physics 2024-11-11 A. Aaliray , H. Mohammadi

The Time-Fractional Schr\"odinger Equation (TFSE) is well-adjusted to study a quantum system interacting with its dissipative environment. The Quantum Speed Limit (QSL) time captures the shortest time required for a quantum system to evolve…

Quantum Physics · Physics 2023-05-10 Dongmei Wei , Hailing Liu , Yongmei Li , Fei Gao , Sujuan Qin , Qiaoyan Wen

We probe the quantum speed limit (QSL) of an electron when it is trapped in a non-uniform magnetic field. We show that the QSL increases to a large value, but within the regime of causality, by choosing a proper variation in magnetic…

Quantum Physics · Physics 2022-08-26 Srishty Aggarwal , Subhashish Banerjee , Arindam Ghosh , Banibrata Mukhopadhyay

Characterizing the most efficient evolution, the quantum speed limit (QSL) plays a significant role in quantum technology. How to generalize the well-established QSL from closed systems to open systems has attracted much attention. In…

Quantum Physics · Physics 2023-07-11 Wei Wu , Jun-Hong An

A visualization for dynamics of a qudit spin vector in a time-dependent magnetic field is realized by means of mapping a solution for a spin vector on the three-dimensional spherical curve (vector hodograph). The obtained results obviously…

Quantum Physics · Physics 2017-11-22 E. A. Ivanchenko

The minimum time required for a quantum system to evolve from an arbitrary initial state to its orthogonal state is known as the quantum speed limit (QSL) time. In this work, we consider the model in which a single qubit moves inside a…

Quantum Physics · Physics 2022-06-28 Maryam Hadipour , Soroush Haseli , Hazhir Dolatkhah , Saeed Haddadi

The speed of light $c$ sets a strict upper bound on the speed of information transfer in both classical and quantum systems. In nonrelativistic quantum systems, the Lieb-Robinson Theorem imposes an emergent speed limit $v \hspace{-0.2mm}…

Quantum Physics · Physics 2023-07-06 Aaron J. Friedman , Chao Yin , Yifan Hong , Andrew Lucas

Quantum speed limit (QSL) under noise has drawn considerable attention in real quantum computational processes and quantum communication. Though non-Markovian noise is proven to be able to accelerate quantum evolution for a damped…

Quantum Physics · Physics 2014-03-18 Z. Y. Xu , S. Q. Zhu

The new bound on quantum speed limit (in terms of relative purity) is derived by applying the original Mandelstam-Tamm one to the evolution in the space of Hilbert-Schmidt operators acting in the initial space of states. It is shown that it…

Quantum Physics · Physics 2021-06-30 Katarzyna Bolonek-Lason , Joanna Gonera , Piotr Kosinski

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…

Quantum Physics · Physics 2018-02-15 Manaka Okuyama , Masayuki Ohzeki

We derive generalized quantum speed limit inequalities that represent limitations on the time evolution of quantum states. They are extensions of the original inequality and are applied to the overlap between the time-evolved state and an…

Quantum Physics · Physics 2022-06-22 Kazutaka Takahashi

Finding the solutions of the equations that describe the dynamics of a given physical system is crucial in order to obtain important information about its evolution. However, by using estimation theory, it is possible to obtain, under…

Quantum Physics · Physics 2018-07-10 D. V. Villamizar , A. C. S. Leal , R. Auccaise , E. I. Duzzioni

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 investigate the quantum speed limit (QSL) of a single superconducting qubit subjected to pure dephasing induced by bistable random telegraph noise (RTN), a common environmental disturbance in solid state quantum systems. Using an exactly…

Quantum Physics · Physics 2025-04-23 Maryam Hadipour