2005/06/30 by Jens Eisert, J. Eisert, M. Cramer · 2 citations
Computer Science · Physics and Astronomy · #Entropy (arrow of time) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Statistical physics #Superselection #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1103/physreva.72.042112
published as Phys. Rev. A 72, 042112 (2005) · 5 pages, RevTeX, final version
openalex publication_date 2005/10/25 · arxiv created 2006/01/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider the single-copy entanglement as a quantity to assess quantum correlations in the ground state in quantum many-body systems. We show for a large class of models that already on the level of single specimens of spin chains, criticality is accompanied with the possibility of distilling a maximally entangled state of arbitrary dimension from a sufficiently large block deterministically, with local operations and classical communication. These analytical results---which refine previous results on the divergence of block entropy as the rate at which maximally entangled pairs can be distilled from many identically prepared chains---are made quantitative for general isotropic translationally invariant spin chains that can be mapped onto a quasifree fermionic system, and for the anisotropic XY model. For the XX model, we provide the asymptotic scaling of \ensuremath∼(1∕6)log2(L), and contrast it with the block entropy.