|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'501'711
Articles rated: 2609
20 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Determinantal probability densities at two-qubit separability-entanglement boundary and associated Fisher information | | Paul B. Slater
; | | Date: |
5 Mar 2013 | | Abstract: | The determinants (|rho^{PT}|) of the partial transposes of 4 x 4 density
matrices (rho) have possible values in the interval [-1/16, 1/256], and are
nonnegative if and only if rho is separable. In arXiv:1301:6617, we reported a
"concise" formula for the cumulative/separability Hilbert-Schmidt probability
P(alpha) of |rho^{PT}| over the nonnegative subinterval [0, 1/256] where alpha
is a Dyson-index-like parameter, with alpha = 1/2 denoting the 9-dimensional
generic two-rebit systems, alpha = 1, the 15-dimensional generic two-qubit
systems,.... Here, we seek to expand our understanding of the underlying
probability distributions p_{alpha}(|rho^{PT}|) over [-1/16, 1/256] by
determining their y-intercepts--that is the values at |rho^{PT}| = 0 (the
separability-entanglement boundary). Our numerical evidence strongly indicates
that p_{2}(0) = 7425 / 34, p_{3}(0)= 7696 / 69, and possibly, that p_{1}(0) =
390. The first derivative p_{alpha}^{’}(0) is positive for alpha = 1/2 and 1,
but negative for alpha > 1. We also estimate the Fisher information (declining
with alpha) of the alpha-parameterized family of probability distributions
p_{alpha}(|rho^{PT}|). | | Source: | arXiv, 1303.1125 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER