Enhancement of nearest-neighbor entanglement in one-dimensional disordered systems

2005/11/30 by R. López‐Sandoval, R. Lopez-Sandoval, Martı́n E. Garcia +1 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Concurrence #Condensed matter physics #Diagonal #Geometry #Ground state #Mathematics #Pairwise comparison #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistics #cond-mat.dis-nn #k-nearest neighbors algorithm

paper · pdf · doi:10.1103/physrevb.74.174204

21 pages, 9 figures

arxiv created 2005/11/30 · openalex publication_date 2006/11/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The pairwise quantum entanglement between sites in disordered electronic one-dimensional systems (rings) is studied. We focus on the effect of diagonal and off-diagonal disorder on the ground-state concurrence C_ij between neighboring and not neighboring sites i,j as a function of electron band filling. In the case of diagonal disorder, increasing the degree of disorder leads to a decrease of the concurrence with respect to the ordered case. However, off-diagonal disorder causes a surprisingly strong enhancement of nearest-neighbor entanglement. This remarkable effect occurs near half filling, where the concurrence becomes up to 15% larger than in the periodic system.

Citations

• Scaling of Entanglement Entropy in the Random Singlet Phase
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Dynamics of Entanglement in Quantum Computers with Imperfections
• Entanglement of a Pair of Quantum Bits

Cited by

• Constructive interference between disordered couplings enhances multiparty entanglement in quantum Heisenberg spin glass models
• Entanglement mean-field theory and the Curie-Weiss law