![](/images/graphics-bg.png)
On the Separability of Unitarily Invariant Random Quantum States: The Unbalanced Regime
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-15
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We study entanglement-related properties of random quantum states which are unitarily invariant, in the sense that their distribution is left unchanged by conjugation with arbitrary unitary operators.
In the large matrix size limit, the distribution of these random quantum states is characterized by their limiting spectrum, a compactly supported probability distribution.
We prove several results characterizing entanglement and the PPT property of random bipartite unitarily invariant quantum states in terms of the limiting spectral distribution, in the unbalanced asymptotical regime where one of the two subsystems is fixed, while the other one grows in size.
American Psychological Association (APA)
Nechita, Ion. 2018. On the Separability of Unitarily Invariant Random Quantum States: The Unbalanced Regime. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1119248
Modern Language Association (MLA)
Nechita, Ion. On the Separability of Unitarily Invariant Random Quantum States: The Unbalanced Regime. Advances in Mathematical Physics No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1119248
American Medical Association (AMA)
Nechita, Ion. On the Separability of Unitarily Invariant Random Quantum States: The Unbalanced Regime. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1119248
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119248