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Even though measurement results obtained in the real world are generally both noisy and continuous, quantum measurement theory tends to emphasize the ideal limit of perfect precision and quantized measurement results. In this article, a…

Quantum Physics · Physics 2008-12-18 Holger F. Hofmann

We establish general limits on how precise a parameter, e.g. frequency or the strength of a magnetic field, can be estimated with the aid of full and fast quantum control. We consider uncorrelated noisy evolutions of N qubits and show that…

Quantum Physics · Physics 2017-09-07 Pavel Sekatski , Michalis Skotiniotis , Janek Kołodyński , Wolfgang Dür

The efficiency of the future devices for quantum information processing will be limited mostly by the finite decoherence rates of the individual qubits and quantum gates. Recently, substantial progress was achieved in enhancing the time…

Mesoscale and Nanoscale Physics · Physics 2014-04-10 E. Paladino , Y. M. Galperin , G. Falci , B. L. Altshuler

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

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.…

Massive spin-1/2 fields are studied in the framework of loop quantum gravity by considering a state approximating, at a length scale $\cal L$ much greater than Planck length $\ell_P=1.2\times 10^{-33}$cm, a spin-1/2 field in flat spacetime.…

General Relativity and Quantum Cosmology · Physics 2011-05-05 Jorge Alfaro , Hugo A. Morales-Tecotl , Luis F. Urrutia

Quantum speed limits (QSLs) establish intrinsic bounds on the minimum time required for the evolution of quantum systems. We present a class of QSLs formulated in terms of the two-parameter Sharma-Mittal entropy (SME), applicable to…

Quantum Physics · Physics 2026-01-01 Dong-Ping Xuan , Zhi-Xi Wang , Shao-Ming Fei

Noise affects the coherence of qubits and thereby places a bound on the performance of quantum computers. We theoretically study a generic two-level system with fluctuating control parameters in a photonic cavity and find that basic…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Philipp M. Mutter , Guido Burkard

The quantum speed limit (QSL) of the Jaynes-Cummings model with detuning for arbitrary initial states is investigated. We mainly focus on the influences of the detuning, width of Lorentzian spectral density, and coherence of the initial…

Quantum Physics · Physics 2023-07-21 Yasin Shahri , Maryam Hadipour , Saeed Haddadi , Hazhir Dolatkhah , Soroush Haseli

We analyze the dissipative dynamics of a two-level quantum system subject to low-frequency, e.g. 1/f noise, motivated by recent experiments with superconducting quantum circuits. We show that the effect of transverse linear coupling of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy Makhlin , Alexander Shnirman

Quantum-speed-limit (QSL) time captures the intrinsic minimal time interval for a quantum system evolving from an initial state to a target state. In single qubit open systems, it was found that the memory (non-Markovian) effect of…

Quantum Physics · Physics 2015-03-18 Chen Liu , Zhen-Yu Xu , Shiqun Zhu

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

Memory effects play an important role in the theory of open quantum systems. There are two completely independent insights about memory for quantum channels. In quantum information theory, the memory of the quantum channel is depicted by…

Quantum Physics · Physics 2019-05-31 N. Awasthi , S. Haseli , U. C Johri , S. Salimi , H. Dolatkhah , A. S. Khorashad

We report a family of quantum speed limits (QSLs) that give evolution time lower bounds between an initial and a final state whose separation is described by a certain representation basis dependent norm derived from the weighted…

Quantum Physics · Physics 2026-04-01 H. F. Chau , Jinjie Li

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…

Quantum Physics · Physics 2024-08-28 Benjamin Yadin , Satoya Imai , Otfried Gühne

Unwanted interaction between a quantum system and its fluctuating environment leads to decoherence and is the primary obstacle to establishing a scalable quantum information processing architecture. Strategies such as environmental and…

Quantum speed limit (QSL) is the study of fundamental limits on the evolution time of quantum systems. For instance, under the action of a time-independent Hamiltonian, the evolution time between an initial and a final quantum state obeys…

Quantum Physics · Physics 2024-05-17 H. F. Chau , Wenxin Zeng

According to the Heisenberg uncertainty principle between time and energy fluctuation, a concept of the quantum speed limit (QSL) has been established to determine the minimum evolutionary time between quantum states. Considerable…

Quantum Physics · Physics 2023-08-08 Fu-Quan Dou , Min-Peng Han , Chuan-Cun Shu

The minimum evolution time between multi-qubit quantum states is estimated for non-Markovian quantum channels. We consider the maximally coherent pure and mixed states as well as multi-qubit $X$ states as initial states and discuss the…

Quantum Physics · Physics 2023-01-03 K. G. Paulson , Subhashish Banerjee

We study the entanglement evolution of two coupled qubits in interaction with an external environment and in the presence of an external magnetic field with a stochastic component. The results show the expected degradation of entanglement…

Quantum Physics · Physics 2011-05-16 Demetris P. K. Ghikas , Athanasios C. Tzemos