Entanglement of random vectors

Details Entanglement of random vectors Entanglement of random vectors

2006-11-22

arxiv.org/abs/quant-ph/0611226v1

J. Phys. A: Math. Theor. 40, F105-F111 (2007)

Physics

Quantum Physics

8 pages

Scientific paper

10.1088/1751-8113/40/3/F04

We analytically calculate the average value of i-th largest Schmidt
coefficient for random pure quantum states. Schmidt coefficients, i.e.,
eigenvalues of the reduced density matrix, are expressed in the limit of large
Hilbert space size and for arbitrary bipartite splitting as an implicit
function of index i.

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