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As generalizations of results of Christandl et al.\cite{8,9""} and Facer et al.\cite{Facer}, Bernasconi et al.\cite{godsil,godsil1} studied perfect state transfer (PST) between two particles in quantum networks modeled by a large class of…

Quantum Physics · Physics 2021-12-29 M. A. Jafarizadeh , R. Sufiania , S. F. Taghavia , E. Barati

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

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

The existence of perfect state transfer (PST) on quantum spin networks is a fundamental problem in mathematics and physics. Various works in the literature have explored PST in graphs with arithmetic origins, such as gcd-graphs over…

Combinatorics · Mathematics 2025-04-02 Tung T. Nguyen , Nguyen Duy Tân

The issue of quantum states' transfer -- in particular, for so-called Perfect State Transfer (PST) -- in the networks represented by the spin chains seems to be one of the major concerns in quantum computing. Especially, in the context of…

Quantum Physics · Physics 2013-02-05 Marek Sawerwain , Joanna Wiśniewska

It is shown how to perfectly transfer an arbitrary qudit state in interacting boson networks. By defining a family of Hamiltonians related to Bose-Hubbard model, we describe a possible method for state transfer through bosonic atoms trapped…

Quantum Physics · Physics 2010-07-14 M. A. Jafarizadeh , R. Sufiani , M. Azimia , F. Eghbali Fama

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

We propose a hypercube switching architecture for the perfect state transfer (PST) where we prove that it is always possible to find an induced hypercube in any given hypercube of any dimension such that PST can be performed between any two…

Quantum Physics · Physics 2020-07-07 Siddhant Singh

We consider a spin network resembling an $\alpha$-helix structure and study quantum information transfer over this bio-inspired network. The model we use is the Davydov model in its elementary version without a phononic environment. We…

Quantum Physics · Physics 2023-07-20 Elham Faraji , Alireza Nourmandipour , Stefano Mancini , Marco Pettini , Roberto Franzosi

We propose a quantum network consisting of optical waveguides in the linear regime for quantum state transfer. The circular topology of our network introduces novel functionalities that enable us to analytically identify the conditions…

Quantum Physics · Physics 2026-05-12 Sunita Meena , Sugar Singh Meena , Paulo A Brandão , Amit Rai

The quantum Perfect State Transfer (PST) is a fundamental tool of quantum communication in a network. It is not easy to achieve in practice. The original idea of PST depends on the fundamentals of the continuous-time quantum walk. A path…

Quantum Physics · Physics 2026-02-24 Supriyo Dutta

Perfect state transfer (PST) is discussed in the context of passive quantum networks with logical bus topology, where many logical nodes communicate using the same shared media, without any external control. The conditions under which, a…

Quantum Physics · Physics 2009-11-26 T. Brougham , G. M. Nikolopoulos , I. Jex

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 present a general formalism to the problem of perfect state-transfer (PST), where the state involves multiple excitations of the quantum network. A key feature of our formalism is that it allows for inclusion of nontrivial interactions…

Quantum Physics · Physics 2011-08-04 T. Brougham , G. M. Nikolopoulos , I. Jex

We investigate the fidelity of the quantum state transfer (QST) of two qubits by means of an arbitrary spin-1/2 network, on a lattice of any dimensionality. Under the assumptions that the network Hamiltonian preserves the magnetization and…

Quantum Physics · Physics 2015-04-22 S. Lorenzo , T. J. G. Apollaro , S. Paganelli , G. M. Palma , F. Plastina

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 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 propose a class of qubit networks that admit perfect state transfer of any two-dimensional quantum state in a fixed period of time. We further show that such networks can distribute arbitrary entangled states between two distant parties,…

In this paper, we consider the problem on the existence of perfect state transfer(PST for short) on semi-Cayley graphs over abelian groups (which are not necessarily regular), i.e on the graphs having semiregular and abelian subgroups of…

Group Theory · Mathematics 2022-02-17 Majid Arezoomand

The ability to accurately transfer quantum information through networks is an important primitive in distributed quantum systems. While perfect quantum state transfer (PST) can be effected by a single particle undergoing continuous-time…

Quantum Physics · Physics 2015-04-01 Steven J. Large , Michael S. Underwood , David L. Feder
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