Potsdam University Potsdam Quantum Optics Group

Universität Potsdam
Institut für Physik
Karl-Liebknecht-Str. 24/25
14476 Potsdam-Golm
Potsdam Quantum Optics Group: Home

Potsdam Quantum Optics Group: Teaching

Potsdam Quantum Optics Group: Research

Potsdam Quantum Optics Group: How to find us









 

       
 Publications
 2006
   orus05
 
R. Orus, J. I. Latorre, J. Eisert, and M. Cramer
Half the entanglement in critical systems is distillable from a single specimen
Phys. Rev. A 73 (2006) 060303

Abstract

    We establish that the leading critical scaling of the single-copy entanglement is exactly one half of the entropy of entanglement of a block in critical infinite spin chains in a general setting, using methods of conformal field theory. Conformal symmetry imposes that the single-copy entanglement for critical many-body systems scales as E_1(\rho_L)=(c/6) \log L- (c/6) (\pi^2/\log L) + O(1/L), where L is the number of constituents in a block of an infinite chain and c corresponds to the central charge. This proves that from a single specimen of a critical chain, already half the entanglement can be distilled compared to the rate that is asymptotically available. The result is substantiated by a quantitative analysis for all translationally invariant quantum spin chains corresponding to general isotropic quasi-free fermionic models. An analytic example of the XY model shows that away from criticality the above simple relation is only maintained near the quantum phase transition point.

[ quant-ph/0509023 ]

file generated: 18 Apr 2007


   
   
printer-friendly version
   
   
Webmaster