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Perfect state transfer in graphs is a concept arising from quantum physics and quantum computing. Given a graph $G$ with adjacency matrix $A_G$, the transition matrix of $G$ with respect to $A_G$ is defined as $H_{A_{G}}(t) =…

Combinatorics · Mathematics 2020-10-08 Yipeng Li , Xiaogang Liu , Shenggui Zhang , Sanming Zhou

Quantum states can be efficiently transferred over a long distance if the entire quantum channel can be divided into several small blocks. We consider a scenario in which each block consists of two copies of a multiparty state -- one is…

Quantum Physics · Physics 2020-10-29 Saptarshi Roy , Tamoghna Das , Debmalya Das , Aditi Sen De , Ujjwal Sen

The coherent transfer of excitations between different locations of a quantum many-body system is of primary importance in many research areas, from transport properties in spintronics and atomtronics to quantum state transfer in quantum…

Quantum Physics · Physics 2020-03-31 Wayne Jordan Chetcuti , Claudio Sanavio , Salvatore Lorenzo , Tony J. G. Apollaro

The quantum state transmission (QST) through the medium of high-dimensional many-particle system is studied with a symmetry analysis. We discover that, if the spectrum matches the symmetry of a fermion or boson system in a certain fashion,…

Quantum Physics · Physics 2007-05-23 Ying Li , Z. Song , C. P. Sun

We present a perfect state transfer protocol via a qubit chain with the evolution governed by the $xx$ Hamiltonian. In contrast to the recent protocol announced in [Phys. Rev. Lett. {\bf 101}, 230502 (2008)], our method does not demand any…

Quantum Physics · Physics 2013-05-10 Marcin Markiewicz , Marcin Wiesniak

We systematically investigated perfect state transfer between antipodal nodes of discrete time quantum walks on variants of the cycles C_4, C_6 and C_8 for three choices of coin operator. Perfect state transfer was found, in general, to be…

Quantum Physics · Physics 2014-05-23 K. Barr , T. Proctor , D. Allen , V. Kendon

We propose a class of qubit networks that admit perfect transfer of any quantum state in a fixed period of time. Unlike many other schemes for quantum computation and communication, these networks do not require qubit couplings to be…

Quantum Physics · Physics 2016-09-08 Matthias Christandl , Nilanjana Datta , Artur Ekert , Andrew J. Landahl

A multi-branch quantum circuit is considered from the viewpoint of coherent electron or wave transport. Starting with the closed system, we give analytical conditions for the appearance of two isolated localized states out of the energy…

Statistical Mechanics · Physics 2011-09-06 Angelo Ziletti

We investigate quantum state transfer on a class of bipartite graphs, namely the butterfly graphs, within the framework of discrete-time quantum walks. These graphs facilitate the construction of scalable quantum networks that enable…

Quantum Physics · Physics 2026-04-14 Monika Rani , Subhashish Banerjee , Nikhil Swami , Supriyo Dutta

We propose a protocol for perfect state transfer between any pair of vertices in a hypercube. Given a pair of distinct vertices in the hypercube we determine a sub-hypercube that contains the pair of vertices as antipodal vertices. Then a…

Quantum Physics · Physics 2021-01-04 Siddhant Singh , Bibhas Adhikari , Supriyo Dutta , David Zueco

Quantum state transfer is a fundamental requirement for scalable quantum computation, where fast and reliable communication between distant subsystems is essential. In this work, we present a protocol for quantum state transfer in linear…

Quantum Physics · Physics 2026-01-13 Oscar Michel , Matthias Werner , Arnau Riera

We consider the perfect transfer of a state between arbitrary nodes of one-dimensional spin-1/2 chain with optimally engineered couplings. Motivated by the fact that such a system could be used as a data bus for connecting multiple quantum…

Quantum Physics · Physics 2019-03-06 N. E. Palaiodimopoulos , I. Brouzos , N. Georgoulea , P. A. Kalozoumis , F. K. Diakonos

In this paper we answer the question of when circulant quantum spin networks with nearest-neighbor couplings can give perfect state transfer. The network is described by a circulant graph $G$, which is characterized by its circulant…

Discrete Mathematics · Computer Science 2011-04-12 Milan Bašić

It is shown that by switching a specific time-dependent interaction between a harmonic oscillator and a transmission line (a waveguide, an optical fiber, etc.) the quantum state of the oscillator can be transferred into that of another…

Quantum Physics · Physics 2007-05-23 K. Jahne , B. Yurke , U. Gavish

We describe new constructions of graphs which exhibit perfect state transfer on continuous-time quantum walks. Our constructions are based on variants of the double cones [BCMS09,ANOPRT10,ANOPRT09] and the Cartesian graph products (which…

Quantum Physics · Physics 2011-08-02 Yang Ge , Benjamin Greenberg , Oscar Perez , Christino Tamon

By considering distance-regular graphs as spin networks, first we introduce some particular spin Hamiltonians which are extended version of those of Refs.\cite{8,9''}. Then, by using spectral analysis techniques and algebraic combinatoric…

Quantum Physics · Physics 2009-11-13 M. A. Jafarizadeh , R. Sufiani

Perfect state transfer (PST) has great significance due to its applications in quantum information processing and quantum computation. In this paper we present a characterization on connected simple Cayley graph $\Gamma={\rm Cay}(G,S)$…

Quantum Physics · Physics 2017-12-27 Yingying Tan , Keqin Feng , Xiwang Cao

The pretty good transmission scenario implies that the probability of sending one excitation from one extreme of a spin chain to the other can reach values arbitrarily close to the unity just by waiting a time long enough. The conditions…

Quantum Physics · Physics 2023-09-06 Pablo Serra , Alejandro Ferrón , Omar Osenda

We construct the exact solution for a family of one-half spin chains explicitly. The spin chains Hamiltonian corresponds to an isotropic Heisenberg Hamiltonian, with staggered exchange couplings that take only two different values. We work…

Quantum Physics · Physics 2022-10-07 Pablo Serra , Alejandro Ferrón , Omar Osenda

We study the information transferring ability of a spin-1/2 XXZ Hamiltonian for two different modes of state transfer, namely, the well studied attaching scenario and the recently proposed measurement induced transport. The latter one has…

Quantum Physics · Physics 2014-08-05 Sima Pouyandeh , Farhad Shahbazi