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In this paper we continue our derivation of the correlation functions of open quantum spin 1/2 chains with unparallel magnetic fields on the edges; this time for the more involved case of the XXZ spin 1/2 chains. We develop our study in the…

Mathematical Physics · Physics 2025-08-01 G. Niccoli , V. Terras

We consider the representation of a continuous-time quantum walk in a graph $X$ by the matrix $\exp(itA(X))$. We provide necessary and sufficient criteria for distance-regular graphs and, more generally, for graphs in association schemes to…

Combinatorics · Mathematics 2018-05-23 Gabriel Coutinho , Chris Godsil , Krystal Guo , Frédéric Vanhove

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…

Combinatorics · Mathematics 2016-11-11 Mark Kempton , Gabor Lippner , Shing-Tung Yau

The study of perfect state transfer on graphs has attracted a great deal of attention during the past ten years because of its applications to quantum information processing and quantum computation. Perfect state transfer is understood to…

Combinatorics · Mathematics 2023-05-30 Shixin Wang , Tao Feng

Regular families of coupled quantum networks are described such the unknown state of a qubit can be perfectly routed from any node to any other node in a time linear in the distance. Unlike previous constructions, the transfer can be…

Quantum Physics · Physics 2011-01-17 Peter J. Pemberton-Ross , Alastair Kay

Quantum-state transfer with fidelity higher than 0.99 can be achieved in the ballistic regime of an arbitrarily long one-dimensional chain with uniform nearest-neighbor interaction, except for the two pairs of mirror symmetric extremal…

Quantum Physics · Physics 2012-05-29 T. J. G. Apollaro , L. Banchi , A. Cuccoli , R. Vaia , P. Verrucchi

Semiconductor hole-spin qubits offer a promising route to quantum computation due to their weak hyperfine interaction, and strong intrinsic spin-orbit coupling enabling electric control of qubits. Scalable architectures, however, require…

Quantum Physics · Physics 2026-05-15 Madhumita Sarkar , Roopayan Ghosh , Charles G. Smith , Maksym Myronov , Sougato Bose

We study the spin transport properties of some disordered spin chains with a special focus on the distribution of the frequency-dependent spin conductivity. In the cases of interest here, the systems are governed by an effectively infinite…

Disordered Systems and Neural Networks · Physics 2024-01-30 L. F. C. Faria , Victor L. Quito , João C. Getelina , José A. Hoyos , E. Miranda

We study the rectification of spin current in $XXZ$ chains segmented in two parts, each with a different anisotropy parameter. Using exact diagonalization and a matrix product states algorithm we find that a large rectification (of the…

Statistical Mechanics · Physics 2018-05-23 Vinitha Balachandran , Giuliano Benenti , Emmanuel Pereira , Giulio Casati , Dario Poletti

We study perfect state transfer in Grover walks, which are typical discrete-time quantum walk models. In particular, we focus on states associated to vertices of a graph. We call such states vertex type states. Perfect state transfer…

Combinatorics · Mathematics 2021-09-15 Sho Kubota , Etsuo Segawa

The transmission of quantum states through spin chains is an important element in the implementation of quantum information technologies. Speed and fidelity of transfer are the main objectives which have to be achieved by the devices even…

Quantum Physics · Physics 2015-02-12 Analia Zwick , Gonzalo A. Álvarez , Joachim Stolze , Omar Osenda

We investigate a simple tight-binding Hamiltonian to understand the stability of spin-polarized transport of states with an arbitrary spin content in the presence of disorder. The general spin state is made to pass through a linear chain of…

Disordered Systems and Neural Networks · Physics 2019-04-12 Leonardo Benini , Amrita Mukherjee , Arunava Chakrabarti , Rudolf A. Roemer

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

Boundary effect is a widespread idea in many-body theories. However, it is more of a conceptual notion than a rigorously defined physical quantity. One can quantify the boundary effect by comparing two ground states of the same physical…

Strongly Correlated Electrons · Physics 2024-05-01 Jinhyeok Ryu , Jaeyoon Cho

We introduce a scheme for perfect state transfer in regular two and three dimensional structures. The interactions on the lattices are of XX spin type with uniform couplings. In two dimensions the structure is a hexagonal lattice and in…

Quantum Physics · Physics 2015-05-28 Vahid Karimipour , Mahdi Sarmadi Rad , Marzieh Asoudeh

We consider the multi-qubit fixed-excitation state transfer along the spin chain with dipole-dipole interaction subjected to the interaction with environment governed by the Lindblad equation preserving the excitation number during…

Quantum Physics · Physics 2026-05-14 E. B. Fel'dman , A. I. Zenchuk

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

Superconducting quantum circuits, fabricated with multiple layers, are proposed to implement perfect quantum state transfer between nodes of a hypercube network. For tunable devices such as the phase qubit, each node can transmit quantum…

Quantum Physics · Physics 2009-11-13 Frederick W. Strauch , Carl J. Williams

By means of the idea of measurements on the crossed space-time nonlocal observables, we extend the mechanism for the two-way quantum teleportation to the chain teleportation among N spatially separated spin-1/2 systems. Since in the process…

Quantum Physics · Physics 2007-05-23 Chien-er Lee

We provide a class of initial encodings that can be sent with a high fidelity over an unmodulated, linear, XY spin chain. As an example, an average fidelity of ninety-six percent can be obtained using an eleven-spin encoding to transmit a…

Quantum Physics · Physics 2013-05-29 C. Allen Bishop , Yong-Cheng Ou , Zhao-Ming Wang , Mark S. Byrd