Quantum Communication in Spin Systems With Long-Range Interactions

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-neighbour 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 4 spins.

15 pages, 8 eps figures, updated references, corrected text and corrected figs. 1, 4 and 5

References in corpus (5)

• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• The Propagation of Quantum Information Through a Spin System
• Perfect quantum state transfer with randomly coupled quantum chains
• Perfect State Transfer: Beyond Nearest-Neighbor Couplings
• From perfect to fractal transmission in spin chains

Cited by in corpus (11)

• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Perfect state transfer in long-range interacting spin chains
• Simulations of Information Transport in Spin Chains
• Optimal quantum chain communication by end gates
• Quantum state transfer and time-dependent disorder in Quantum Chains
• Perfect state transfer over distance-regular spin networks
• Transfer of d-Level quantum states through spin chains by random swapping
• Freezing distributed entanglement in spin chains
• Quantum transitions of the XY model with long-range interactions on the inhomogenous periodic chain
• Environment-Mediated Quantum State Transfer
• Conclusive quantum-state transfer with a single randomly coupled spin chain