Distribution of G concurrence of random pure states

Journal Article · Fri Dec 15 00:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.74.062322· OSTI ID:20976451

Cappellini, Valerio ^[1]; Sommers, Hans-Juergen ^[2]; Zyczkowski, Karol ^[1]

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1. Centrum Fizyki Teoretycznej, Polska Akademia Nauk, Aleja Lotnikow 32/44, 02-668 Warsaw (Poland)
2. Fachbereich Physik, Universitaet Duisburg-Essen, Campus Duisburg, 47048 Duisburg (Germany)

The average entanglement of random pure states of an NxN composite system is analyzed. We compute the average value of the determinant D of the reduced state, which forms an entanglement monotone. Calculating higher moments of the determinant, we characterize the probability distribution P(D). Similar results are obtained for the rescaled Nth root of the determinant, called the G concurrence. We show that in the limit N{yields}{infinity} this quantity becomes concentrated at a single point G{sub *}=1/e. The position of the concentration point changes if one consider an arbitrary NxK bipartite system, in the joint limit N,K{yields}{infinity}, with K/N fixed.

• OSTI ID: 20976451
• Journal Information: Physical Review. A, Vol. 74, Issue 6; Other Information: DOI: 10.1103/PhysRevA.74.062322; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMPUTER CALCULATIONS
DISTRIBUTION
PROBABILITY
QUANTUM ENTANGLEMENT
RANDOMNESS
SIMULATION