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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…

Quantum Physics · Physics 2025-11-10 Abolfazl Farmanian , Vahid Karimipour

Quantum technologies rely on the ability to coherently manipulate, process and transfer information, encoded in quantum states, along quantum channels. Decoherence induced by the environment introduces errors, thus setting limits on the…

Quantum Physics · Physics 2013-01-14 Bogna Bylicka , Dariusz Chruściński , Sabrina Maniscalco

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 theoretically study the quantum speed limit of a single atom trapped in a Fabry-Perot microresonator. The cavity mode will be squeezed when a driving laser is applied to the second-order nonlinear medium, and the effective Hamiltonian…

Quantum Physics · Physics 2023-10-25 Ya-Jie Ma , Xue-Chen Gao , Shao-Xiong Wu , Chang-shui Yu

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.…

There are strong evidences in the literature that quantum non-Markovianity would hinder the presence of Quantum Darwinism. In this Letter, we study the relation between quantum Darwinism and approximate quantum Markovianity for open quantum…

Quantum Physics · Physics 2023-11-08 Xiao-Kan Guo , Zhiqiang Huang

The quantum speed limit describes how quickly a quantum system can evolve in time from an initial state to a final state under a given dynamics. Here, we derive a generalised quantum speed limit (GQSL) for arbitrary time-continuous…

Quantum Physics · Physics 2023-12-27 Dimpi Thakuria , Abhay Srivastav , Brij Mohan , Asmita Kumari , Arun Kumar Pati

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

In this study, we investigate the bound on the speed of state transformation in the quantum and classical systems that are coupled to general environment with arbitrary coupling interactions. We show that a Mandelstam-Tamm type speed limit…

Statistical Mechanics · Physics 2021-05-05 Naoto Shiraishi , Keiji Saito

The minimum time a system needs to change from an initial state to a final orthogonal state is called quantum speed limit time. Quantum speed limit time can be used to quantify the speed of the quantum evolution. The speed of the quantum…

Quantum Physics · Physics 2020-06-19 S. Haseli

We study the effect of correlated Markovian noise channels on the quantum speed limit of an open system. This is done for correlated dephasing and amplitude damping channels for a two qubit atomic model. Our model serves as a platform for a…

Quantum Physics · Physics 2021-02-18 Natasha Awasthi , U. C. Johri

We develop a framework for identifying nonclassical speedups in systems with polarization, likewise spin degrees of freedom. By confining the dynamics to the manifold of angular momentum coherent states, which act as the classical reference…

Quantum Physics · Physics 2026-03-25 Tim Aßbrock , Jan Sperling , Laura Ares

One of the defining properties of an open quantum system is the variation of its purity in time. We derive speed limits on the rate of purity change for systems coupled to a Markovian environment. Our speed limits are based on Liouville…

Quantum Physics · Physics 2016-10-12 Raam Uzdin , Ronnie Kosloff

Quantum algorithms can potentially solve a handful of problems more efficiently than their classical counterparts. In that context, it has been discussed that Markov chains problems could be solved significantly faster using quantum…

Quantum Physics · Physics 2025-12-01 Baptiste Claudon , Jean-Philip Piquemal , Pierre Monmarché

We study non-Markovianity as backflow of information in two-qubit systems. We consider a setting where, by changing the distance between the qubits, one can interpolate between independent reservoir and common reservoir scenarios. We…

Quantum Physics · Physics 2014-02-24 C. Addis , P. Haikka , S. McEndoo , C. Macchiavello , S. Maniscalco

Quantum speed limits are rigorous estimates on how fast a state of a quantum system can depart from the initial state in the course of quantum evolution. Most known quantum speed limits, including the celebrated Mandelstam-Tamm and…

Quantum Physics · Physics 2021-06-02 Nikolai Il`in , Oleg Lychkovskiy

In this paper, we derive sharp lower bounds, also known as quantum speed limits, for the time it takes to transform a quantum system into a state such that an observable assumes its lowest average value. We assume that the system is…

Quantum Physics · Physics 2021-06-02 Dan Allan , Niklas Hörnedal , Ole Andersson

The basic features of the dynamics of open quantum systems, such as the dissipation of energy, the decay of coherences, the relaxation to an equilibrium or non-equilibrium stationary state, and the transport of excitations in complex…

Quantum Physics · Physics 2012-08-09 Heinz-Peter Breuer

We consider the unitary time evolution of continuous quantum mechanical systems confined to a cavity in contact with a finite bath of variable size. Measures for Markovianity for such finite system-bath configurations are developed in terms…

During the last ten years, the studies on non-Markovian open system dynamics has become increasingly popular and having contributions from diverse set of research communities. This interest has arisen due to fundamental problematics how to…

Quantum Physics · Physics 2020-01-09 C. -F. Li , G. -C. Guo , J. Piilo
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