Finding a maximally correlated state - Simultaneous Schmidt decomposition of bipartite pure states
| dc.creator | Hiroshima, Tohya | |
| dc.creator | Hayashi, Masahito | |
| dc.date | 2004-05-19 | |
| dc.date | 2004-08-05 | |
| dc.date.accessioned | 2026-07-07T06:09:45Z | |
| dc.date.available | 2026-07-07T06:09:45Z | |
| dc.description | We consider a bipartite mixed state of the form, $ρ=\sum_{α, β=1}^{l}a_{αβ} | ψ_α> < ψ_ β}| $, where $| ψ_α>$ are normalized bipartite state vectors, and matrix $(a_{αβ})$ is positive semidefinite. We provide a necessary and sufficient condition for the state $ρ$ taking the form of maximally correlated states by a local unitary transformation. More precisely, we give a criterion for simultaneous Schmidt decomposability of $| ψ_α>$ for $α=1,2,..., l$. Using this criterion, we can judge completely whether or not the state $ρ$ is equivalent to the maximally correlated state, in which the distillable entanglement is given by a simple formula. For generalized Bell states, this criterion is written as a simple algebraic relation between indices of the states. We also discuss the local distinguishability of the generalized Bell states that are simultaneously Schmidt decomposable. | |
| dc.description | 5 pages, no figures, REVTEX 4, Some new results on generalized Bell states added; a few typos corrected in v3 | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0405107 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0405107 | |
| dc.identifier | Phys. Rev. A 70, 030302(R) (2004) | |
| dc.identifier | doi:10.1103/PhysRevA.70.030302 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/92067 | |
| dc.subject | Quantum Physics | |
| dc.title | Finding a maximally correlated state - Simultaneous Schmidt decomposition of bipartite pure states | |
| dc.type | text |