dorsal/arxiv
View SchemaLocal vs. Joint Measurements for the Entanglement of Assistance
| Authors | T. Laustsen, F. Verstraete, S. J. van Enk |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206192 |
| URL | https://arxiv.org/abs/quant-ph/0206192 |
| Journal | Quantum Information and Computation 3, 64 (2003) |
Abstract
We consider a variant of the entanglement of assistance, as independently introduced by D.P. DiVincenzo {\em et al.} ({\tt quant-ph/9803033}) and O. Cohen (Phys. Rev. Lett. {\bf 80}, 2493 (1998)). Instead of considering three-party states in which one of the parties, the assistant, performs a measurement such that the remaining two parties are left with on average as much entanglement as possible, we consider four-party states where two parties play the role of assistants. We answer several questions that arise naturally in this scenario, such as (i) how much more entanglement can be produced when the assistants are allowed to perform joint measurements, (ii) for what type of states are local measurements sufficient, (iii) is it necessary for the second assistant to know the measurement outcome of the first, and (iv) are projective measurements sufficient or are more general POVMs needed?
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"abstract": "We consider a variant of the entanglement of assistance, as independently\nintroduced by D.P. DiVincenzo {\\em et al.} ({\\tt quant-ph/9803033}) and O.\nCohen (Phys. Rev. Lett. {\\bf 80}, 2493 (1998)). Instead of considering\nthree-party states in which one of the parties, the assistant, performs a\nmeasurement such that the remaining two parties are left with on average as\nmuch entanglement as possible, we consider four-party states where two parties\nplay the role of assistants. We answer several questions that arise naturally\nin this scenario, such as (i) how much more entanglement can be produced when\nthe assistants are allowed to perform joint measurements, (ii) for what type of\nstates are local measurements sufficient, (iii) is it necessary for the second\nassistant to know the measurement outcome of the first, and (iv) are projective\nmeasurements sufficient or are more general POVMs needed?",
"arxiv_id": "quant-ph/0206192",
"authors": [
"T. Laustsen",
"F. Verstraete",
"S. J. van Enk"
],
"categories": [
"quant-ph"
],
"journal_ref": "Quantum Information and Computation 3, 64 (2003)",
"title": "Local vs. Joint Measurements for the Entanglement of Assistance",
"url": "https://arxiv.org/abs/quant-ph/0206192"
},
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