Testing statistical bounds on entanglement using quantum chaos

Details Testing statistical bounds on entanglement using quantum chaos Testing statistical bounds on entanglement using quantum chaos

2002-03-22

arxiv.org/abs/quant-ph/0203117v3

Phys. Rev. Lett 89, 060402 (2002)

Physics

Quantum Physics

5 pages, 3 figures, to appear in PRL. New title. Revised abstract and some changes in the body of the paper

Scientific paper

10.1103/PhysRevLett.89.060402

Previous results indicate that while chaos can lead to substantial entropy production, thereby maximizing dynamical entanglement, this still falls short of maximality. Random Matrix Theory (RMT) modeling of composite quantum systems, investigated recently, entails an universal distribution of the eigenvalues of the reduced density matrices. We demonstrate that these distributions are realized in quantized chaotic systems by using a model of two coupled and kicked tops. We derive an explicit statistical universal bound on entanglement, that is also valid for the case of unequal dimensionality of the Hilbert spaces involved, and show that this describes well the bounds observed using composite quantized chaotic systems such as coupled tops.

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