|
| related topics |
| {entanglement, phys, rev} |
| {states, state, optimal} |
| {state, states, entangled} |
| {let, theorem, proof} |
| {bell, inequality, local} |
| {field, particle, equation} |
| {state, phys, rev} |
| {cos, sin, state} |
| {group, space, representation} |
| {alice, bob, state} |
|
Local filtering operations on two qubits
Frank Verstraete, Jeroen Dehaene, Bart De Moor
abstract: We consider one single copy of a mixed state of two qubits and investigate
how its entanglement changes under local quantum operations and classical
communications (LQCC) of the type $\rho'\sim (A\otimes B)\rho(A\otimes
B)^{\dagger}$. We consider a real matrix parameterization of the set of density
matrices and show that these LQCC operations correspond to left and right
multiplication by a Lorentz matrix, followed by normalization. A constructive
way of bringing this matrix into a normal form is derived. This allows us to
calculate explicitly the optimal local filterin operations for concentrating
entanglement. Furthermore we give a complete characterization of the mixed
states that can be purified arbitrary close to a Bell state. Finally we obtain
a new way of calculating the entanglement of formation.
- oai_identifier:
- oai:arXiv.org:quant-ph/0011111
- categories:
- quant-ph
- comments:
- 4 pages
- doi:
- 10.1103/PhysRevA.64.010101
- arxiv_id:
- quant-ph/0011111
- journal_ref:
- Physical Review A (\bf 64), 010101(R) (2001).
- report_no:
- internal report 130
- created:
- 2000-11-28
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