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| related topics |
| {entanglement, phys, rev} |
| {temperature, thermal, energy} |
| {energy, state, states} |
| {time, wave, function} |
| {state, states, entangled} |
| {particle, mechanics, theory} |
| {time, decoherence, evolution} |
| {spin, pulse, spins} |
| {state, states, coherent} |
| {wave, scattering, interference} |
| {operator, operators, space} |
| {bell, inequality, local} |
| {information, entropy, channel} |
| {field, particle, equation} |
|
Linear entropy as an entanglement measure in two-fermion systems
Fabrizio Buscemi, Paolo Bordone, Andrea Bertoni
abstract: We describe an efficient theoretical criterion, suitable for
indistinguishable particles to quantify the quantum correlations of any pure
two-fermion state, based on the Slater rank concept. It represents the natural
generalization of the linear entropy used to treat quantum entanglement in
systems of non-identical particles. Such a criterion is here applied to an
electron-electron scattering in a two-dimensional system in order to perform a
quantitative evaluation of the entanglement dynamics for various spin
configurations and to compare the linear entropy with alternative approaches.
Our numerical results show the dependence of the entanglement evolution upon
the initial state of the system and its spin components. The differences with
previous analyses accomplished by using the von Neumann entropy are discussed.
The evaluation of the entanglement dynamics in terms of the linear entropy
results to be much less demanding from the computational point of view, not
requiring the diagonalization of the density matrix.
- oai_identifier:
- oai:arXiv.org:quant-ph/0611223
- categories:
- quant-ph
- comments:
- 16 pages. Added references in section 1 Corrected typos
- doi:
- 10.1103/PhysRevA.75.032301
- arxiv_id:
- quant-ph/0611223
- journal_ref:
- Phys. Rev. A 75, 032301 (2007)
- created:
- 2006-11-22
- updated:
- 2007-03-02
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