dorsal/arxiv
View SchemaVon Neumann Measurement is Optimal for Detecting Linearly Independent Mixed Quantum States
| Authors | Yonina C. Eldar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0304077 |
| URL | https://arxiv.org/abs/quant-ph/0304077 |
| DOI | 10.1103/PhysRevA.68.052303 |
Abstract
We consider the problem of designing a measurement to minimize the probability of a detection error when distinguishing between a collection of possibly non-orthogonal mixed quantum states. We show that if the quantum state ensemble consists of linearly independent density operators then the optimal measurement is an orthogonal Von Neumann measurement consisting of mutually orthogonal projection operators and not a more general positive operator-valued measure.
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"abstract": "We consider the problem of designing a measurement to minimize the\nprobability of a detection error when distinguishing between a collection of\npossibly non-orthogonal mixed quantum states. We show that if the quantum state\nensemble consists of linearly independent density operators then the optimal\nmeasurement is an orthogonal Von Neumann measurement consisting of mutually\northogonal projection operators and not a more general positive operator-valued\nmeasure.",
"arxiv_id": "quant-ph/0304077",
"authors": [
"Yonina C. Eldar"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.68.052303",
"title": "Von Neumann Measurement is Optimal for Detecting Linearly Independent Mixed Quantum States",
"url": "https://arxiv.org/abs/quant-ph/0304077"
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