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We have developed an efficient computational method to treat long, one-dimensional systems of strongly-interacting atoms forming self-assembled spin chains. Such systems can be used to realize many spin chain model Hamiltonians tunable by…

Quantum Physics · Physics 2016-04-19 N. J. S. Loft , O. V. Marchukov , D. Petrosyan , N. T. Zinner

Following the prescription of Ref. \cite{PST} in which perfect state transference (PST) of a qubit over distance regular spin networks was discussed, in this paper PST of an arbitrary $d$-level quantum state (qudit) over antipodes of more…

Quantum Physics · Physics 2009-11-13 M. A. Jafarizadeh , R. Sufiani , S. F. Taghavi , E. Barati

Pure states correspond to one-dimensional subspaces of $\mathbb{C}^n$ represented by unit vectors. In this paper, we develop the theory of perfect state transfer (PST) between real pure states with emphasis on the adjacency and Laplacian…

Quantum Physics · Physics 2025-06-13 Chris Godsil , Stephen Kirkland , Hermie Monterde

We introduce a family of spin-1/2 quantum chains, and show that their exact ground states break the rotational and translational symmetries of the original Hamiltonian. We also show how one can use projection to construct a spin-3/2 quantum…

Strongly Correlated Electrons · Physics 2009-11-13 S. Alipour , S. Baghbanzadeh , V. Karimipour

Spin chains can realise perfect quantum state transfer between the two ends via judicious choice of coupling strengths. In this paper, we study what other states can be created by engineering a spin chain. We conclude that, up to local…

Quantum Physics · Physics 2017-04-20 Alastair Kay

We present a method that implement directional, perfect state transfers within a branched spin network by exploiting quantum interferences in the time-domain. That provides a tool to isolate subsystems from a large and complex one.…

Hamiltonian inverse engineering enables the design of protocols for specific quantum evolutions or target state preparation. Perfect state transfer (PST) and remote entanglement generation are notable examples, as they serve as key…

This work presents an exactly soluble scheme to address the problem of optimal transfer of quantum states through a set of $s$ harmonic oscillators composing a network with connected ends as a closed quantum circuit. For this purpose we…

Quantum Physics · Physics 2014-07-18 Dirceu Portes , Hilario Rodrigues , Sergio B. Duarte , Basilio Baseia

A graph is said to exhibit perfect state transfer (PST) if one of its corresponding Hamiltonian matrices, which are based on the vertex-edge structure of the graph, gives rise to PST in a quantum information-theoretic context, namely with…

Combinatorics · Mathematics 2019-06-26 Steve Kirkland , Sarah Plosker , Xiaohong Zhang

In this paper we derive analytical relations between probabilities of the excited state transfers and entanglements calculated by both the Wootters and positive partial transpose (PPT) criteria for the arbitrary spin system with single…

Quantum Physics · Physics 2015-05-13 S. I. Doronin , E. B. Fel'dman , A. I. Zenchuk

The basic idea of spin chain engineering for perfect quantum state transfer (QST) is to find a set of coupling constants in the Hamiltonian, such that a particular state initially encoded on one site will evolve freely to the opposite site…

Quantum Physics · Physics 2007-05-23 Man-Hong Yung

Spin chains have been proposed as quantum wires in many quantum information processing architectures. Coherent transmission of quantum information over short distances is enabled by their internal dynamics, which drives the transport of…

Quantum Physics · Physics 2012-01-17 Paola Cappellaro , Lorenza Viola , Chandrasekhar Ramanathan

Certain non-uniformly coupled spin chains can exhibit perfect transfer of quantum states from end to end. Motivated by recent experimental implementations, we extend the simplest such chain to next-to-nearest neighbour (NNN) couplings. It…

Quantum Physics · Physics 2017-10-04 Matthias Christandl , Luc Vinet , Alexei Zhedanov

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

By using some techniques such as spectral distribution and stratification associated with the graphs, employed in [1,2] for the purpose of Perfect state transfer (PST) of a single qubit over antipodes of distance-regular spin networks and…

Quantum Physics · Physics 2008-05-14 M. A. Jafarizadeh , R. Sufiani , S. F. Taghavi , E. Barati

In recent years, significant progress has been made in the field of state transfer in spin chains, with the aim of achieving perfect state transfer for quantum information processing applications. Previous research has mainly focused on…

Quantum Physics · Physics 2025-04-25 Fateh Bezaz , Chad C. Nelmes , Marta P. Estarellas , Timothy P. Spiller , Irene D'Amico

We study transfer of a quantum state through XX spin chains with static imperfections. We combine the two standard approaches for state transfer based on (i) modulated couplings between neighboring spins throughout the spin chain and (ii)…

Quantum Physics · Physics 2012-02-15 M. Bruderer , K. Franke , S. Ragg , W. Belzig , D. Obreschkow

When studying the perfect transfer of a quantum state from one site to another, it is typically assumed that one can receive the arriving state at a specific instant in time, with perfect accuracy. Here, we study how sensitive perfect state…

Quantum Physics · Physics 2025-07-28 Alastair Kay , Sooyeong Kim , Christino Tamon

Quantum communication through spin chains has been extensively investigated. In this scenario, state transfer through linearly arranged spins connected by uniform nearest-neighbor couplings qualifies as a natural choice, with minimal…

Quantum Physics · Physics 2020-08-12 Zhao-Ming Wang , Marcelo S. Sarandy , Lian-Ao Wu

A duality between the properties of many spinor bosons on a regular lattice and those of a single particle on a weighted graph reveals that a quantum particle can traverse an infinite hierarchy of networks with perfect probability in…

Quantum Physics · Physics 2009-11-13 David L. Feder