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A one-dimensional, two-channel quantum wire is studied in the effective non-Hermitian Hamiltonian framework. Analytical expressions are derived for the band structure of the isolated wire. Quantum states and transport properties of the wire…

介观与纳米尺度物理 · 物理学 2016-01-27 Amin Tayebi , Vladimir Zelevinsky

We study the transfer of quantum information through a Heisenberg spin-1 chain prepared in its ground state. We measure the efficiency of such a quantum channel {\em via} the fidelity of retrieving an arbitrarily prepared state and {\em…

量子物理 · 物理学 2007-05-23 O. Romero-Isart , K. Eckert , A. Sanpera

We review the subject of perfect state transfer; how one designs the (fixed) interactions of a chain of spins so that a quantum state, initially inserted on one end of the chain, is perfectly transferred to the opposite end in a fixed time.…

量子物理 · 物理学 2010-08-18 Alastair Kay

We investigate state transfer on a hypercube by means of a quantum walk where the sender and the receiver vertices are marked by a weighted loops. First, we analyze search for a single marked vertex, which can be used for state transfer…

量子物理 · 物理学 2023-11-28 Martin Stefanak , Stanislav Skoupy

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…

量子物理 · 物理学 2012-01-17 Paola Cappellaro , Lorenza Viola , Chandrasekhar Ramanathan

Quantum physics in flat-band (FB) systems embodies a variety of exotic phenomenon and even counter intuitive features. The quantum transport in several graphene based compounds that exhibit a flat band and a tunable gap is investigated.…

介观与纳米尺度物理 · 物理学 2021-02-17 G. Bouzerar , D. Mayou

State transfer is a well-known routine for various systems of spins-$\frac{1}2$. Still, it is not well studied for chains of spins of larger magnitudes. In this contribution we argue that while perfect state transfer may seem unnatural in…

量子物理 · 物理学 2014-01-09 Marcin Wiesniak , Arijit Dutta , Jeonghee Ryu

Analogs of Krawtchouk polynomials defined on a bi-lattice are introduced. They are shown to provide a (novel) spin chain with perfect transfer. Their characterization is given as well as their connection to the quadratic Hahn algebra

数学物理 · 物理学 2015-06-03 Luc Vinet , Alexei Zhedanov

Ballistic quantum-information transfer through spin chains is based on the idea of making the spin dynamics ruled by collective excitations with linear dispersion relation. Unlike perfect state transfer schemes, a ballistic transmission…

量子物理 · 物理学 2015-12-03 Leonardo Banchi

Quantum walks have frequently envisioned the behavior of a quantum state traversing a classically defined, generally finite, graph structure. While this approach has already generated significant results, it imposes a strong assumption: all…

量子物理 · 物理学 2024-05-28 John C Vining , Howard A. Blair

Effective state transfer is one of the most important problems in quantum information processing. Typically, a quantum information device is composed of many subsystems with multi-input ports. In this paper, we develop a general theory…

量子物理 · 物理学 2016-08-23 Naoki Yamamoto , Hendra I. Nurdin , Matthew R. James

In a one-dimensional Heisenberg chain, we show that there are no sets of coupling strengths such that the evolution perfectly transfers a quantum state between the two ends of the chain without the addition of magnetic fields. In lieu of…

量子物理 · 物理学 2022-07-18 Alastair Kay

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 state transfer, first introduced by Bose in 2003, is an important physical phenomenon in quantum networks, which plays a vital role in quantum communication and quantum computing. In 2004, Christandl et al. proposed the concept of…

组合数学 · 数学 2025-09-24 Ming Jiang , Xiaogang Liu , Jing Wang

For any graph $X$ with the adjacency matrix $A$, the transition matrix of the continuous-time quantum walk at time $t$ is given by the matrix-valued function $\mathcal{H}_X(t)=\mathrm{e}^{itA}$. We say that there is perfect state transfer…

组合数学 · 数学 2018-04-17 Bahman Ahmadi , M. H. Shirdareh Haghighi , Ahmad Mokhtar

Electronic transmission in bent quantum wires modeled by the tight binding Hamiltonian, and clamped between ideal, semi-infinite leads is studied. The effect of `bending' the chain is simulated by introducing a non-zero hopping between the…

介观与纳米尺度物理 · 物理学 2015-05-14 Arunava Chakrabarti

We present several protocols for reliable quantum state transfer through a spin chain. We use a simple two-spin encoding to achieve a remarkably high fidelity transfer for an arbitrary quantum state. The fidelity of the transfer also…

量子物理 · 物理学 2013-05-29 Zhao-Ming Wang , Mark S. Byrd , Bin Shao , Jian Zou

We analyse the sensitivity of a spin chain modelled by an undirected weighted connected graph exhibiting perfect state transfer to small perturbations in readout time and edge weight in order to obtain physically relevant bounds on the…

量子物理 · 物理学 2016-03-23 Whitney Gordon , Steve Kirkland , Chi-Kwong Li , Sarah Plosker , Xiaohong Zhang

This work recollects a non-universal set of quantum gates described by higher-dimensional Spin groups. They are also directly related with matchgates in theory of quantum computations and complexity. Various processes of quantum state…

量子物理 · 物理学 2018-09-05 Alexander Yu. Vlasov

For a graph $G$ and a related symmetric matrix $M$, the continuous-time quantum walk on $G$ relative to $M$ is defined as the unitary matrix $U(t) = \exp(-itM)$, where $t$ varies over the reals. Perfect state transfer occurs between…

量子物理 · 物理学 2016-05-10 R. Alvir , S. Dever , B Lovitz , J. Myer , C. Tamon , Y. Xu , H. Zhan