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The occurrence of fractional revival in quantum spin chains is examined. Analytic models where this phenomenon can be exhibited in exact solutions are provided. It is explained that spin chains with fractional revival can be obtained by…

Mathematical Physics · Physics 2017-02-15 Vincent X. Genest , Luc Vinet , Alexei Zhedanov

We study perfect state transfer in Grover walks, which are typical discrete-time quantum walk models. In particular, we focus on states associated to vertices of a graph. We call such states vertex type states. Perfect state transfer…

Combinatorics · Mathematics 2021-09-15 Sho Kubota , Etsuo Segawa

In this paper we study quantum state transfer (also called quantum tunneling) on graphs when there is a potential function on the vertex set. We present two main results. First, we show that for paths of length greater than three, there is…

Combinatorics · Mathematics 2016-11-11 Mark Kempton , Gabor Lippner , Shing-Tung Yau

The study of perfect state transfer on graphs has attracted a great deal of attention during the past ten years because of its applications to quantum information processing and quantum computation. Perfect state transfer is understood to…

Combinatorics · Mathematics 2023-05-30 Shixin Wang , Tao Feng

For a system of N identical particles in a random pure state, there is a threshold k_0 = k_0(N) ~ N/5 such that two subsystems of k particles each typically share entanglement if k > k_0, and typically do not share entanglement if k < k_0.…

Quantum Physics · Physics 2012-04-09 Guillaume Aubrun , Stanislaw J. Szarek , Deping Ye

We consider a free fermion chain with uniform nearest-neighbor hopping and let it evolve from an arbitrary initial state with a fixed macroscopic number of particles. We then prove that, at a sufficiently large and typical time, the…

Statistical Mechanics · Physics 2026-04-13 Hal Tasaki

Qubit(s) transfer through a helical chain is studied. We consider the transfer of a single state and Bell states across a multiferroic spin chain and the possibility of an electric field control of the fidelity of the single state and the…

Quantum Physics · Physics 2017-11-15 Harshit Verma , L. Chotorlishvili , J. Berakdar , Sunil K. Mishra

We study the quantum diffusion of an electron in a quantum chain starting from an initial state localized around a given site. As the wavepacket diffuses, the probability of reconstructing the initial state on another site diminishes…

Quantum Physics · Physics 2009-11-05 S. Paganelli , G. L. Giorgi , F. de Pasquale

This work recollects a non-universal set of quantum gates described by higher-dimensional Spin groups. They are also directly related with matchgates in theory of quantum computations and complexity. Various processes of quantum state…

Quantum Physics · Physics 2018-09-05 Alexander Yu. Vlasov

In this work, a mechanism for improving the quantum state transfer efficiency in a spin chain, which is in contact with a dissipative structured reservoir, is investigated. The efficiency of the method is based on the addition of similar…

Quantum Physics · Physics 2017-11-10 Naghi Behzadi , Abbas Ektesabi , Bahram Ahansaz

We investigate a system composed of $N$ coupled cavities and two-level atoms interacting one at a time. Adjusting appropriately the atom-field detuning, and make the hopping rate of photons between neighboring cavities, $A$, greater than…

Quantum Physics · Physics 2010-08-23 Bruno F. C. Yabu-uti , José A. Roversi

We propose a method for transferring atoms to a target quantum state for a multilevel quantum system with sequentially increasing, but otherwise unknown, energy splitting. This is achieved with a feedback algorithm that processes…

Quantum Physics · Physics 2019-08-06 Bianca J. Sawyer , Matthew Chilcott , Ryan Thomas , Amita B. Deb , Niels Kjærgaard

This paper concerns the problem of non-ideal state transfer along the alternating open chain of spins $s=1/2$ with XY Hamiltonian. It is found that the state transfer along the chain with even number of spins $N$ ($N=4,6,8$) may be realized…

Quantum Physics · Physics 2009-11-13 E. I. Kuznetsova , A. I. Zenchuk

The transfer of information from one part of a quantum system to another is fundamental to the understanding and design of quantum information processing devices. In the realm of discrete systems such as spin chains, inhomogeneous networks…

Quantum Physics · Physics 2026-02-24 Per Moosavi , Matthias Christandl , Gian Michele Graf , Spyros Sotiriadis

The circuit complexity of time-evolved pure quantum states grows linearly in time for an exponentially long time. This behavior has been proven in certain models, is conjectured to hold for generic quantum many-body systems, and is believed…

High Energy Physics - Theory · Physics 2025-10-22 Yale Fan , Nicholas Hunter-Jones , Andreas Karch , Shivan Mittal

The electric control of quantum spin chains has been an outstanding goal for the few last years due to its potential use in technologies related to quantum information processing. In this work, we show the feasibility of the different steps…

Quantum Physics · Physics 2024-08-14 Diego Acosta Coden , Omar Osenda , Alejandro Ferrón

Search and state transfer between hubs, i.e. fully connected vertices, on otherwise arbitrary connected graph is investigated. Motivated by a recent result of Razzoli et al. (J. Phys. A: Math. Theor. 55, 265303 (2022)) on universality of…

Quantum Physics · Physics 2024-09-05 Stanislav Skoupy , Martin Stefanak

Quantum information science has the potential to revolutionize modern technology by providing resource-efficient approaches to computing, communication, and sensing. Although the physical qubits in a realistic quantum device will inevitably…

Mesoscale and Nanoscale Physics · Physics 2019-10-07 Yadav P. Kandel , Haifeng Qiao , Saeed Fallahi , Geoffrey C. Gardner , Michael J. Manfra , John M. Nichol

We show how to perfectly transfer, without state initialization and remote collaboration, arbitrary functions in interacting boson lattices. We describe a possible implementation of state transfer through bosonic atoms trapped in optical…

Quantum Physics · Physics 2009-08-03 Lian-Ao Wu , Adam Miranowicz , XiangBin Wang , Yu-xi Liu , Franco Nori

One spin excitation states are involved in the transmission of quantum states and entanglement through a quantum spin chain, the localization properties of these states are crucial to achieve the transfer of information from one extreme of…

Quantum Physics · Physics 2015-05-14 Analia Zwick , Omar Osenda