English

Entanglement of random vectors

Quantum Physics 2007-05-23 v1 Statistical Mechanics Chaotic Dynamics

Abstract

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.

Keywords

Cite

@article{arxiv.quant-ph/0611226,
  title  = {Entanglement of random vectors},
  author = {Marko Znidaric},
  journal= {arXiv preprint arXiv:quant-ph/0611226},
  year   = {2007}
}

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8 pages