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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…

组合数学 · 数学 2016-11-11 Mark Kempton , Gabor Lippner , Shing-Tung Yau

We find analytic models that can perfectly transfer, without state initializati$ or remote collaboration, arbitrary functions in two- and three-dimensional interacting bosonic and fermionic networks. We elaborate on a possible…

量子物理 · 物理学 2015-05-18 Lian-Ao Wu , Mark Byrd , Z. D. Wang , Bin Shao

We prove new results on perfect state transfer of quantum walks on quotient graphs. Since a graph $G$ has perfect state transfer if and only if its quotient $G/\pi$, under any equitable partition $\pi$, has perfect state transfer, we…

量子物理 · 物理学 2012-11-05 R. Bachman , E. Fredette , J. Fuller , M. Landry , M. Opperman , C. Tamon , A. Tollefson

We consider an exact state transmission, where a density matrix in one information processor A at time $t=0$ is exactly equal to that in another processor B at a later time. We demonstrate that there always exists a complete set of…

量子物理 · 物理学 2015-05-13 Lian-Ao Wu , Yu-xi Liu , Franco Nori

In a continuous-time quantum walk on a network of qubits, pretty good state transfer is the phenomenon of state transfer between two vertices with fidelity arbitrarily close to 1. We construct families of graphs to demonstrate that there is…

组合数学 · 数学 2023-05-24 Ada Chan , Peter Sin

We exploit a ferromagnetic chain of interacting $d$-level ($d>2$) particles for arbitrary perfect transfer of quantum states with $(d-1)$ levels. The presence of one extra degree of freedom in the Hilbert space of particles, which is not…

量子物理 · 物理学 2014-06-04 Abolfazl Bayat

The last decade has witnessed substantial interest in protocols for transferring information on networks of quantum mechanical objects. A variety of control methods and network topologies have been proposed, on the basis that transfer with…

量子物理 · 物理学 2012-08-14 Chris Godsil , Stephen Kirkland , Simone Severini , Jamie Smith

We study transfer of single photon in an one-dimensional finite Glauber-Fock cavity array whose coupling strengths satisfy a square root law. The evolved state in the array can be mapped to an upper truncated coherent state if the cavities…

量子物理 · 物理学 2020-01-13 Nilakantha Meher

We study pretty good quantum state transfer (i.e., state transfer that becomes arbitrarily close to perfect) between vertices of graphs with an involution in the presence of an energy potential. In particular, we show that if a graph has an…

组合数学 · 数学 2017-02-24 Mark Kempton , Gabor Lippner , Shing-Tung Yau

We suggest a scheme that allows arbitrarily perfect state transfer even in the presence of random fluctuations in the couplings of a quantum chain. The scheme performs well for both spatially correlated and uncorrelated fluctuations if they…

量子物理 · 物理学 2007-05-23 Daniel Burgarth , Sougato Bose

We study quantum state transfer through a qubit network modeled by spins with XY interaction, when relying on a single excitation. We show that it is possible to achieve perfect transfer by shifting (adding) energy to specific vertices.…

量子物理 · 物理学 2010-01-20 Andrea Casaccino , Seth Lloyd , Stefano Mancini , Simone Severini

Cubelike graphs are the Cayley graphs of the elementary abelian group (Z_2)^n (e.g., the hypercube is a cubelike graph). We give conditions for perfect state transfer between two particles in quantum networks modeled by a large class of…

量子物理 · 物理学 2009-11-13 Anna Bernasconi , Chris Godsil , Simone Severini

We investigate the quantum state transfer in a chain of particles satisfying q-deformed oscillators algebra. This general algebraic setting includes the spin chain and the bosonic chain as limiting cases. We study conditions for perfect…

量子物理 · 物理学 2009-11-10 Sonia L'Innocente , Cosmo Lupo , Stefano Mancini

We study wavepackets that propagate across (a) topological interfaces in quantum spin systems exhibiting non-invertible symmetries and (b) duality defects coupling dual theories. We demonstrate that the transmission is always perfect, and…

高能物理 - 理论 · 物理学 2025-11-25 Atsushi Ueda , Vic Vander Linden , Laurens Lootens , Jutho Haegeman , Paul Fendley , Frank Verstraete

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…

量子物理 · 物理学 2019-03-06 N. E. Palaiodimopoulos , I. Brouzos , N. Georgoulea , P. A. Kalozoumis , F. K. Diakonos

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…

量子物理 · 物理学 2021-12-29 M. A. Jafarizadeh , R. Sufiania , S. F. Taghavia , E. Barati

Quantum spin networks can be used to transport information between separated registers in a quantum information processor. To find a practical implementation, the strict requirements of ideal models for perfect state transfer need to be…

量子物理 · 物理学 2012-04-09 Ashok Ajoy , Paola Cappellaro

The natural notion of almost perfect state transfer (APST) is examined. It is applied to the modelling of efficient quantum wires with the help of $XX$ spin chains. It is shown that APST occurs in mirror-symmetric systems, when the…

量子物理 · 物理学 2015-06-05 Luc Vinet , Alexei Zhedanov

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…

量子物理 · 物理学 2014-07-18 Dirceu Portes , Hilario Rodrigues , Sergio B. Duarte , Basilio Baseia

We consider quantum state transfer on finite graphs which are attached to infinite paths. The finite graph represents an operational quantum system for performing useful quantum information tasks. In contrast, the infinite paths represent…

量子物理 · 物理学 2022-11-30 Pierre-Antoine Bernard , Christino Tamon , Luc Vinet , Weichen Xie