Entanglement in random pure states: Spectral density and average von Neumann entropy
Statistical Mechanics
2013-05-07 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
Quantum entanglement plays a crucial role in quantum information, quantum teleportation and quantum computation. The information about the entanglement content between subsystems of the composite system is encoded in the Schmidt eigenvalues. We derive here closed expressions for the spectral density of Schmidt eigenvalues for all three invariant classes of random matrix ensembles. We also obtain exact results for average von Neumann entropy. We find that maximum average entanglement is achieved if the system belongs to the symplectic invariant class.
Keywords
Cite
@article{arxiv.1105.5418,
title = {Entanglement in random pure states: Spectral density and average von Neumann entropy},
author = {Santosh Kumar and Akhilesh Pandey},
journal= {arXiv preprint arXiv:1105.5418},
year = {2013}
}
Comments
20 pages, 3 figures, Submitted for publication