dorsal/arxiv
View SchemaThe fully entangled fraction as an inclusive measure of entanglement applications
| Authors | J. Grondalski, D. M. Etlinger, D. F. V. James |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0208007 |
| URL | https://arxiv.org/abs/quant-ph/0208007 |
| DOI | 10.1016/S0375-9601(02)00884-8 |
| Journal | Phys. Lett. A, vol. 300, pp. 569-576 (2002) |
Abstract
Characterizing entanglement in all but the simplest case of a two qubit pure state is a hard problem, even understanding the relevant experimental quantities that are related to entanglement is difficult. It may not be necessary, however, to quantify the entanglement of a state in order to quantify the quantum information processing significance of a state. It is known that the fully entangled fraction has a direct relationship to the fidelity of teleportation maximized under the actions of local unitary operations. In the case of two qubits we point out that the fully entangled fraction can also be related to the fidelities, maximized under the actions of local unitary operations, of other important quantum information tasks such as dense coding, entanglement swapping and quantum cryptography in such a way as to provide an inclusive measure of these entanglement applications. For two qubit systems the fully entangled fraction has a simple known closed-form expression and we establish lower and upper bounds of this quantity with the concurrence. This approach is readily extendable to more complicated systems.
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"abstract": "Characterizing entanglement in all but the simplest case of a two qubit pure\nstate is a hard problem, even understanding the relevant experimental\nquantities that are related to entanglement is difficult. It may not be\nnecessary, however, to quantify the entanglement of a state in order to\nquantify the quantum information processing significance of a state. It is\nknown that the fully entangled fraction has a direct relationship to the\nfidelity of teleportation maximized under the actions of local unitary\noperations. In the case of two qubits we point out that the fully entangled\nfraction can also be related to the fidelities, maximized under the actions of\nlocal unitary operations, of other important quantum information tasks such as\ndense coding, entanglement swapping and quantum cryptography in such a way as\nto provide an inclusive measure of these entanglement applications. For two\nqubit systems the fully entangled fraction has a simple known closed-form\nexpression and we establish lower and upper bounds of this quantity with the\nconcurrence. This approach is readily extendable to more complicated systems.",
"arxiv_id": "quant-ph/0208007",
"authors": [
"J. Grondalski",
"D. M. Etlinger",
"D. F. V. James"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(02)00884-8",
"journal_ref": "Phys. Lett. A, vol. 300, pp. 569-576 (2002)",
"title": "The fully entangled fraction as an inclusive measure of entanglement applications",
"url": "https://arxiv.org/abs/quant-ph/0208007"
},
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