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Related papers: Almost perfect state transfer in quantum spin chai…

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We introduce an analytical $XX$ spin chain with asymmetrical transport properties. It has an even number $N+1$ of sites labeled by $n=0,\cdots N$. It does not exhibit perfect state transfer (PST) from end-to-end but rather from the first…

Quantum Physics · Physics 2020-01-08 Gabriel Coutinho , Luc Vinet , Hanmeng Zhan , Alexei Zhedanov

It is shown how to systematically construct the $XX$ quantum spin chains with nearest-neighbor interactions that allow perfect state transfer (PST). Sets of orthogonal polynomials (OPs) are in correspondence with such systems. The key…

Quantum Physics · Physics 2013-05-30 Luc Vinet , Alexei Zhedanov

We show that a perfect quantum state transmission can be realized through a spin chain possessing a commensurate structure of energy spectrum, which is matched with the corresponding parity. As an exposition of the mirror inversion symmetry…

Quantum Physics · Physics 2009-11-10 T. Shi , Ying Li , Z. Song , C. P. Sun

A recent numerical study of short chains found near-perfect quantum state transfer between the boundary sites of a spin-1/2 XX chain if a sufficiently strong magnetic field acts on these sites. We show that the phenomenon is based on a pair…

Quantum Physics · Physics 2012-05-28 Thorben Linneweber , Joachim Stolze , Götz S. Uhrig

We suggest a protocol for perfect quantum communication through spin chain channels. By combining a dual-rail encoding with measurements only at the receiving end, we can get conclusively perfect state transfer, whose probability of success…

Quantum Physics · Physics 2009-11-10 Daniel Burgarth , Sougato Bose

Quantum information transfer is an important part of quantum information processing. Several proposals for quantum information transfer along linear arrays of nearest-neighbor coupled qubits or spins were made recently. Perfect transfer was…

Quantum Physics · Physics 2007-05-23 Peter Karbach , Joachim Stolze

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

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

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

The transfer of quantum states has played an important role in quantum information processing. In fact, transfer of quantum states from point $A$ to $B$ with unit fidelity is very important for us and we focus on this case. In recent years,…

Quantum Physics · Physics 2014-06-24 S. Salimi , S. Ghoraishipour , A. Sorouri

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

The ability to transfer quantum information from one location to another with high fidelity is of central importance to quantum information science. Unfortunately for the simplest system of a uniform chain (a spin chain or a particle in a…

Quantum Gases · Physics 2016-01-28 Xining Chen , Robert Mereau , David L. Feder

An extension with next-to-nearest neighbour interactions of the simplest XX spin chain with perfect state transfer (PST) is presented. The conditions for PST and entanglement generation (balanced fractional revival) can be obtained exactly…

Quantum Physics · Physics 2016-10-18 Matthias Christandl , Luc Vinet , Alexei Zhedanov

High fidelity state transfer is an important ingredient of distributed quantum information processing. We present and analyse results on perfect and quasi-perfect state transfer with linear spin chains incorporating non-uniform on-site…

Quantum Physics · Physics 2025-12-05 Chad C. Nelmes , Irene D'Amico , Timothy P. Spiller

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…

Quantum Physics · Physics 2014-06-04 Abolfazl Bayat

High-fidelity quantum computation and quantum state transfer are possible in short spin chains. We exploit a system based on a dispersive qubit-boson interaction to mimic XY coupling. In this model, the usually assumed nearest-neighbors…

Quantum Physics · Physics 2009-11-10 M. Paternostro , G. M. Palma , M. S. Kim , G. Falci

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

We investigate quantum state transfer in XY spin chains and propose a recursive procedure to construct the nonuniform couplings of these chains with arbitrary length to achieve perfect state transfer(PST). We show that this method is…

Quantum Physics · Physics 2015-05-20 Yaoxiong Wang , Feng Shuang , Herschel Rabitz

A simple method for transmitting quantum states within a quantum computer is via a quantum spin chain---that is, a path on $n$ vertices. Unweighted paths are of limited use, and so a natural generalization is to consider weighted paths;…

Quantum Physics · Physics 2019-03-26 Steve Kirkland , Darian McLaren , Rajesh Pereira , Sarah Plosker , Xiaohong Zhang

The XX model with uniform couplings represents the most natural choice for quantum state transfer through spin chains. Given that it has long been established that single-qubit states cannot be transferred with perfect fidelity in this…

Quantum Physics · Physics 2014-12-04 Rúben Sousa , Yasser Omar
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