|
| related topics |
| {states, state, optimal} |
| {entanglement, phys, rev} |
| {state, states, entangled} |
| {cos, sin, state} |
| {qubit, qubits, gate} |
| {state, phys, rev} |
| {phase, path, phys} |
| {equation, function, exp} |
|
Symmetrization and Entanglement of Arbitrary States of Qubits
M. Asoudeh, V. Karimipour, L. Memarzadeh, A. T. Rezakhani
abstract: Given two arbitrary pure states $ |\phi>$ and $ |\psi>$ of qubits or higher
level states, we provide arguments in favor of states of the form $
\frac{1}{\sqrt{2}}(|\psi> |\phi> + i |\phi> |\psi>) $ instead of symmetric or
anti-symmetric states, as natural candidates for optimally entangled states
constructed from these states. We show that such states firstly have on the
average a high value of concurrence, secondly can be constructed by a universal
unitary operator independent of the input states. We also show that these
states are the only ones which can be produced with perfect fidelity by any
quantum operation designed for intertwining two pure states with a relative
phase. A probabilistic method is proposed for producing any pre-determined
relative phase into the combination of any two arbitrary states.
- oai_identifier:
- oai:arXiv.org:quant-ph/0212143
- categories:
- quant-ph
- comments:
- 6 pages, 1 figure
- doi:
- 10.1016/S0375-9601(03)00794-1
- arxiv_id:
- quant-ph/0212143
- journal_ref:
- Physics Letters A, 313, (2003) 330-337.
- created:
- 2002-12-25
- updated:
- 2003-03-11
Full article ▸
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