dorsal/arxiv
View SchemaA rigorous treatment of distillable entanglement
| Authors | Eric M. Rains |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9809078 |
| URL | https://arxiv.org/abs/quant-ph/9809078 |
| DOI | 10.1103/PhysRevA.60.173 |
Abstract
The notion of distillable entanglement is one of the fundamental concepts of quantum information theory. Unfortunately, there is an apparent mismatch between the intuitive and rigorous definitions of distillable entanglement. To be precise, the existing rigorous definitions impose the constraint that the distilation protocol produce an output of constant dimension. It is therefore conceivable that this unnecessary constraint might have led to underestimation of the true distillable entanglement. We give a new definition of distillable entanglement which removes this constraint, but could conceivably overestimate the true value. Since the definitions turn out to be equivalent, neither underestimation nor overestimation is possible, and both definitions are arguably correct
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"abstract": "The notion of distillable entanglement is one of the fundamental concepts of\nquantum information theory. Unfortunately, there is an apparent mismatch\nbetween the intuitive and rigorous definitions of distillable entanglement. To\nbe precise, the existing rigorous definitions impose the constraint that the\ndistilation protocol produce an output of constant dimension. It is therefore\nconceivable that this unnecessary constraint might have led to underestimation\nof the true distillable entanglement. We give a new definition of distillable\nentanglement which removes this constraint, but could conceivably overestimate\nthe true value. Since the definitions turn out to be equivalent, neither\nunderestimation nor overestimation is possible, and both definitions are\narguably correct",
"arxiv_id": "quant-ph/9809078",
"authors": [
"Eric M. Rains"
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"quant-ph"
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"doi": "10.1103/PhysRevA.60.173",
"title": "A rigorous treatment of distillable entanglement",
"url": "https://arxiv.org/abs/quant-ph/9809078"
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