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Entanglement in disordered systems at criticality

2007/08/27 by Imre Varga, J. A. Méndez‐Bermúdez, Jose Antonio Mendez-Bermudez · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum many-body systems #cond-mat.dis-nn #quant-ph

paper · pdf · doi:10.1002/pssc.200777589

published as phys. stat. sol. (c) 5, No.3, 867-870 (2008) · 4 pages, 5 figures, TIDS12 proceedings

arxiv created 2007/08/27 · openalex publication_date 2008/02/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Abstract Entanglement is a physical resource of a quantum system just like mass, charge or energy. Moreover it is an essential tool for many purposes of nowadays quantum information processing, e.g. quantum teleportation, quantum cryptography or quantum computation. In this work we investigate an extended system of N qubits. In our system a qubit is the absence or presence of an electron at a site of a tight‐binding system. Several measures of entanglement between a given qubit and the rest of the system and also the entanglement between two qubits and the rest of the system are calculated in a one‐electron picture in the presence of disorder. We invoke the power law band random matrix model which even in one dimension is able to produce multifractal states that fluctuate at all length scales. The concurrence, the tangle and the entanglement entropy all show interesting scaling properties. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Citations

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