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Formulas for Rational-Valued Separability Probabilities of Random Induced Generalized Two-Qubit States
Joint Authors
Slater, Paul B.
Dunkl, Charles F.
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Previously, a formula, incorporating a 5F4 hypergeometric function, for the Hilbert-Schmidt-averaged determinantal moments ρPTnρk/ρk of 4×4 density-matrices (ρ) and their partial transposes (|ρPT|), was applied with k=0 to the generalized two-qubit separability probability question.
The formula can, furthermore, be viewed, as we note here, as an averaging over “induced measures in the space of mixed quantum states.” The associated induced-measure separability probabilities (k=1,2,…) are found—via a high-precision density approximation procedure—to assume interesting, relatively simple rational values in the two-re[al]bit (α=1/2), (standard) two-qubit (α=1), and two-quater[nionic]bit (α=2) cases.
We deduce rather simple companion (rebit, qubit, quaterbit, …) formulas that successfully reproduce the rational values assumed for general k.
These formulas are observed to share certain features, possibly allowing them to be incorporated into a single master formula.
American Psychological Association (APA)
Slater, Paul B.& Dunkl, Charles F.. 2015. Formulas for Rational-Valued Separability Probabilities of Random Induced Generalized Two-Qubit States. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1053004
Modern Language Association (MLA)
Slater, Paul B.& Dunkl, Charles F.. Formulas for Rational-Valued Separability Probabilities of Random Induced Generalized Two-Qubit States. Advances in Mathematical Physics No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1053004
American Medical Association (AMA)
Slater, Paul B.& Dunkl, Charles F.. Formulas for Rational-Valued Separability Probabilities of Random Induced Generalized Two-Qubit States. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1053004
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1053004