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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

Let $G$ be a simple graph with $m$ edges and $H_i$, $1\leq i \leq m$ be simple graphs too. The generalized edge corona product of graphs $G$ and $H_1, ..., H_m$, denoted by $G \diamond (H_1, ..., H_m)$, is obtained by taking one copy of…

组合数学 · 数学 2017-12-14 Irandokht Rezaee Abdolhosseinzadeh , Freydoon Rahbarnia

We investigate the ferromagnetic $q$-state Potts model on spherical Fibonacci graphs. These graphs are constructed by embedding quasi-uniform sites on a sphere and defining interactions via a chord-distance cutoff chosen to yield a network…

统计力学 · 物理学 2026-01-13 Zheng Zhou , Xu-Yang Hou , Hao Guo

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

The $\mathcal{Q}$-graph of a graph $G$, denoted by $\mathcal{Q}(G)$, is the graph derived from $G$ by plugging a new vertex to each edge of $G$ and adding a new edge between two new vertices which lie on adjacent edges of $G$. In this…

组合数学 · 数学 2021-08-04 Xiao-Qin Zhang , Shu-Yu Cui , Gui-Xian Tian

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 propose a quantum-state transfer protocol in a spin chain that requires only the control of the spins at the ends of the quantum wire. The protocol is to a large extent insensitive to inhomogeneity caused by local magnetic fields and…

量子物理 · 物理学 2014-06-04 Kamil Korzekwa , Paweł Machnikowski , Paweł Horodecki

We introduce some new perfect state transfer and teleportation schemes by quantum walks with two coins. Encoding the transferred information in coin 1 state and alternatively using two coin operators, we can perfectly recover the…

量子物理 · 物理学 2018-02-09 Yun Shang , Yu Wang , Meng Li , Ruqian Lu

Distinguishing sets of quantum states shared by two parties using only local operations and classical communication measurements is a fundamental topic in quantum communication and quantum information theory. We introduce a graph-theoretic…

量子物理 · 物理学 2023-02-02 David Kribs , Comfort Mintah , Michael Nathanson , Rajesh Pereira

We consider quantum walks on the cycle in the non-stationary case where the `coin' operation is allowed to change at each time step. We characterize, in algebraic terms, the set of possible state transfers and prove that, as opposed to the…

量子物理 · 物理学 2009-11-13 Domenico D'Alessandro , Gianfranco Parlangeli , Francesca Albertini

We propose a phenomenon of discrete-time quantum walks on graphs called the pulsation, which is a generalization of a phenomenon in the quantum searches. This phenomenon is discussed on a composite graph formed by two connected graphs…

数学物理 · 物理学 2024-11-05 Taisuke Hosaka , Etsuo Segawa

We construct families of graphs from linear groups $\mathrm{SL}(2,q)$, $\mathrm{GL}(2,q)$ and $\mathrm{GU}(2,q^2)$, where $q$ is an odd prime power, with the property that the continuous-time quantum walks on the associated networks of…

组合数学 · 数学 2024-08-28 Venkata Raghu Tej Pantangi , Peter Sin

We study Open Quantum Random Walks for which the underlying graph is a lattice, and the generators of the walk are translation-invariant. We consider the quantum trajectory associated with the OQRW, which is described by a position process…

概率论 · 数学 2015-09-02 Raffaella Carbone , Yan Pautrat

The goal in quantum state transfer is to avoid the need to physically transport carriers of quantum information. This is achieved by using a suitably engineered Hamiltonian that induces the transfer of the state of one subsystem to another.…

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 $\Gamma={\rm Cay}(G,S)$…

量子物理 · 物理学 2017-12-27 Yingying Tan , Keqin Feng , Xiwang Cao

High-fidelity quantum state transfer is critical for quantum communication and scalable quantum computation. Current quantum state transfer algorithms on the complete bipartite graph, which are based on discrete-time quantum walk search…

量子物理 · 物理学 2023-02-24 Dan Li , Jia-Ni Huang , Yu-Qian Zhou , Yu-Guang Yang

Considering the two-photon exchange interaction between n coupled cavities each of them containing a two level atom, the atomic and photonic state transfer is investigated. In fact, n atom-cavity systems are considered to be distributed on…

量子物理 · 物理学 2015-06-18 R. Sufiani

We introduce an elementary quantum system consisting of a set of spins on a graph and a particle hopping between its nodes. The quantum state is build sequentially, applying a unitary transformation that couples neighboring spins and, at a…

量子物理 · 物理学 2019-01-23 Alberto D. Verga

The transfer of an unknown quantum state, from a sender to a receiver, is one of the main requirements to perform quantum information processing tasks. In this respect, the state transfer of a single qubit by means of spin chains has been…

量子物理 · 物理学 2015-10-09 T. J. G. Apollaro , S. Lorenzo , A. Sindona , S. Paganelli , G. L. Giorgi , F. Plastina

We give a complete characterization of pretty good state transfer on paths between any pair of vertices with respect to the quantum walk model determined by the XY-Hamiltonian. If $n$ is the length of the path, and the vertices are indexed…

量子物理 · 物理学 2019-07-31 Christopher M. van Bommel