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The Lieb-Robinson bound shows that the speed of propagating information in a nonrelativistic quantum lattice system is bounded by a finite velocity, which entails the clustering of correlations. In this paper, we extend the Lieb-Robinson…

Statistical Mechanics · Physics 2018-06-20 Zhiqiang Huang , Xiao-Kan Guo

The Lieb-Robinson bound (LRB) states that the range and strength of interactions between the constituents of a complex many-body system impose upper limits to how fast the signal can propagate. It manifests in a light cone-like growth of…

Quantum Physics · Physics 2024-09-12 Piotr Wysocki , Jan Chwedeńczuk

We review various bounds concerning out-of-equilibrium dynamics in few-level and many-body quantum systems. We primarily focus on closed quantum systems but will also mention some related results for open quantum systems and classical…

Quantum Physics · Physics 2022-11-22 Zongping Gong , Ryusuke Hamazaki

Quantum state tomography (QST) is a central task for quantum information processing, enabling quantum cryptography, computation, and state certification. Traditional QST relies on projective measurements of single- and two-qubit Pauli…

Quantum Physics · Physics 2026-03-17 Jeanne Bourgeois , Gianmichele Blasi , Géraldine Haack

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

A perfect quantum state transfer(QST) has been shown in an engineered spin chain with "always-on interaction". Here, we consider a more realistic problem for such a protocol, the quantum decoherence induced by a spatially distributed…

Quantum Physics · Physics 2007-05-23 Lan Zhou , Jing Lu , Tao Shi , C. P. Sun

Spin chains have long been considered as candidates for quantum channels to facilitate quantum communication. We consider the transfer of a single excitation along a spin-1/2 chain governed by Heisenberg-type interactions. We build on the…

Quantum Physics · Physics 2010-09-14 Michael Murphy , Simone Montangero , Vittorio Giovannetti , Tommaso Calarco

Continuous U(1) gauge symmetry, which guarantees the conservation of the total excitations in linear bosonic systems, will be broken when it comes to the strong-coupling regime where the rotation wave approximation (RWA) fails. Here we…

Quantum Physics · Physics 2025-01-03 Yilun Xu , Daoquan Zhu , Feng-Xiao Sun , Qiongyi He , Wei Zhang

Quantum state transfer is the primitive of transporting an unknown state on one site of a lattice to another. Using power-law interactions, recent state transfer protocols achieve speedup by utilizing the intermediate ancilla sites.…

Quantum Physics · Physics 2026-02-27 Twesh Upadhyaya , Yifan Hong , T. C. Mooney , Alexey V. Gorshkov

We study the quantum state transfer (QST) of a class of tight-bonding Bloch electron systems with mirror symmetry by considering the mode entanglement. Some rigorous results are obtained to reveal the intrinsic relationship between the…

Quantum Physics · Physics 2009-11-11 Xiao-Feng Qian , Ying Li , Yong Li , Z. Song , C. P. Sun

Fast control of quantum systems is essential in order to make use of quantum properties before they are degraded by decoherence. This is important for quantum-enhanced information processing, as well as for pushing quantum systems into…

Quantum Physics · Physics 2016-04-12 J. Alonso , F. M. Leupold , Z. U. Soler , M. Fadel , M. Marinelli , B. C. Keitch , V. Negnevitsky , J. P. Home

We propose a protocol for perfect quantum state transfer that is resilient to a broad class of realistic experimental imperfections, including noise sources that could be modelled either as independent Markovian baths or as certain forms of…

Quantum Physics · Physics 2008-07-08 C. Di Franco , M. Paternostro , D. I. Tsomokos , S. F. Huelga

The concept of quantum acceleration limit has been recently introduced for any unitary time evolution of quantum systems under arbitrary nonstationary Hamiltonians. While Alsing and Cafaro [Int. J. Geom. Methods Mod. Phys. 21, 2440009…

Quantum Physics · Physics 2024-11-27 Carlo Cafaro , Christian Corda , Newshaw Bahreyni , Abeer Alanazi

This paper discusses continuous-time quantum walks and asymptotic state transfer in graphs with an involution. By providing quantitative bounds on the eigenvectors of the Hamiltonian, it provides an approach to achieving high-fidelity state…

Quantum Physics · Physics 2023-10-16 Gabor Lippner , Yujia Shi

We investigate the most general mechanisms that lead to perfect synchronization of the quantum states of all subsystems of an open quantum system starting from an arbitrary initial state. We provide a necessary and sufficient condition for…

Quantum Physics · Physics 2021-07-21 Jakub Czartowski , Ronny Müller , Karol Zyczkowski , Daniel Braun

The speed of elementary quantum gates ultimately sets the limit on the speed at which quantum circuits can operate. For a fixed physical interaction strength between two qubits, the speed of any two-qubit gate is limited even with…

Quantum Physics · Physics 2023-12-15 Bora Basyildiz , Casey Jameson , Zhexuan Gong

It is of great interest to understand the thermalization of open quantum many-body systems, and how quantum computers are able to efficiently simulate that process. A recently introduced disispative evolution, inspired by existing models of…

Quantum Physics · Physics 2026-02-11 Cambyse Rouzé , Daniel Stilck França , Álvaro M. Alhambra

High fidelity quantum state transfer is an essential part of quantum information processing. In this regard, we address the problem of maximizing the fidelity in a quantum state transformation process satisfying the Liouville-von Neumann…

Quantum Physics · Physics 2022-03-11 Nahid Binandeh Dehaghani , Fernando Lobo Pereira

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…

Quantum Physics · Physics 2014-07-17 M. M. Taddei

The quantum speed limit (QSL) is the theoretical lower limit of the time for a quantum system to evolve from a given state to another one. Interestingly, it has been shown that non-Markovianity can be used to speed-up the dynamics and to…

Quantum Physics · Physics 2021-03-18 Jose Teittinen , Sabrina Maniscalco