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Quantum communication in spin systems with long-range interactions

2006/03/31 by M. Avellino, A. J. Fisher, S. Bose +1 · 58 citations
Computer Science · Mathematics · Physics and Astronomy · #Chain (unit) #Combinatorics #Computer science #Condensed matter physics #Dipole #Ferromagnetism #Fidelity #Heisenberg model #Materials science #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum entanglement #Quantum information science #Quantum mechanics #Qubit #Range (aeronautics) #Spin (aerodynamics) #Spins #Statistical physics #Telecommunications #Topology (electrical circuits) #quant-ph

paper · pdf · doi:10.1103/physreva.74.012321

published in Physical Review A 74(1) (American Physical Society) · 15 pages, 8 eps figures, updated references, corrected text and corrected figs. 1, 4 and 5

openalex publication_date 2006/07/31 · arxiv created 2007/11/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We calculate the fidelity of transmission of a single qubit between distant sites on semi-infinite and finite chains of spins coupled via the magnetic dipole interaction. We show that such systems often perform better than their Heisenberg nearest-neighbor coupled counterparts, and that fidelities closely approaching unity can be attained between the ends of finite chains without any special engineering of the system, although state transfer becomes slow in long chains. We discuss possible optimization methods, and find that, for any length, the best compromise between the quality and the speed of the communication is obtained in a nearly uniform chain of four spins.

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