|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Geometric measures of entanglement and the Schmidt decomposition | | M.E. Carrington
; R. Kobes
; G. Kunstatter
; D. Ostapchuk
; G. Passante
; | | Date: |
24 Mar 2010 | | Abstract: | In the standard geometric approach, the entanglement of a pure state is
$sin^2 heta$, where $ heta$ is the angle between the entangled state and the
closest separable state of products of normalised qubit states. We consider
here a generalisation of this notion by considering separable states that
consist of products of unnormalised states of different dimension. The distance
between the target entangled state and the closest unnormalised product state
can be interpreted as a measure of the entanglement of the target state. The
components of the closest product state and its norm have an interpretation in
terms of, respectively, the eigenvectors and eigenvalues of the reduced density
matrices arising in the Schmidt decomposition of the state vector. For several
cases where the target state has a large degree of symmetry, we solve the
system of equations analytically, and look specifically at the limit where the
number of qubits is large. | | Source: | arXiv, 1003.4755 | | 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