NDLI: Typical entanglement

Content Provider	Springer Nature Link
Author	Deelan Cunden, Fabio Facchi, Paolo Florio, Giuseppe Pascazio, Saverio
Copyright Year	2013
Abstract	Let a pure state \|ψ〉 be chosen randomly in an NM-dimensional Hilbert space, and consider the reduced density matrix ρ $_{ A }$ of an N-dimensional subsystem. The bipartite entanglement properties of \|ψ〉 are encoded in the spectrum of ρ $_{ A }$. By means of a saddle point method and using a “Coulomb gas” model for the eigenvalues, we obtain the typical spectrum of reduced density matrices. We consider the cases of an unbiased ensemble of pure states and of a fixed value of the purity. We finally obtain the eigenvalue distribution by using a statistical mechanics approach based on the introduction of a partition function.
Starting Page	1
Ending Page	15
Page Count	15
File Format	PDF
Journal	The European Physical Journal Plus
Volume Number	128
Issue Number	5
e-ISSN	21905444
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2013-05-17
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Applied and Technical Physics Theoretical, Mathematical and Computational Physics Statistical Physics, Dynamical Systems and Complexity Condensed Matter Physics Atomic, Molecular, Optical and Plasma Physics
Content Type	Text
Resource Type	Article

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Typical entanglement