Finite-size geometric entanglement from tensor network algorithms

2009/01/31 by Qian-Qian Shi, Román Orús, Roman Orus +3 · 37 citations
Computer Science · Physics and Astronomy · #Computation #Context (archaeology) #Ising model #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum computer #Quantum entanglement #Quantum many-body systems #Spin (aerodynamics) #Tensor (intrinsic definition) #cond-mat.stat-mech #cond-mat.str-el

paper · pdf · doi:10.1088/1367-2630/12/2/025008

published in New Journal of Physics 12(2), 025008 (IOP Publishing) · 5 pages, 2 figures, and 3 tables.

openalex publication_date 2010/02/26 · arxiv created 2010/03/19 · arxiv updated 2010/03/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The global geometric entanglement (GE) is studied in the context of newly developed tensor network algorithms for finite systems. For one-dimensional quantum spin systems it is found that, at criticality, the leading finite-size correction to the global GE per site behaves as b / n , where n is the size of the system and b a given coefficient. Our conclusion is based on the computation of the GE per spin for the quantum Ising model in a transverse magnetic field and for the spin-1/2 XXZ model. We also discuss the possibility of coefficient b being universal.

Citations

• Density Matrix Renormalization Group and Periodic Boundary Conditions: A Quantum Information Perspective
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• Entanglement and majorization in(1+1)-dimensional quantum systems
• On single-copy entanglement
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• Ground state fidelity of Luttinger liquids: a wavefunctional approach