dorsal/arxiv
View SchemaOn the Number of Elements Needed in a POVM Attaining the Accessible Information
| Authors | Peter W. Shor |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009077 |
| URL | https://arxiv.org/abs/quant-ph/0009077 |
Abstract
We investigate a symmetric set of three quantum states in three dimensions having interesting properties, which we call the lifted trine states. We show that for the ensemble consisting of the three lifted trine states taken with equal probabilities, the POVM measurement realizing the accessible information must contain six projectors, giving a counterexample to a conjecture of Levitin.
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"abstract": "We investigate a symmetric set of three quantum states in three dimensions\nhaving interesting properties, which we call the lifted trine states. We show\nthat for the ensemble consisting of the three lifted trine states taken with\nequal probabilities, the POVM measurement realizing the accessible information\nmust contain six projectors, giving a counterexample to a conjecture of\nLevitin.",
"arxiv_id": "quant-ph/0009077",
"authors": [
"Peter W. Shor"
],
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"quant-ph"
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"title": "On the Number of Elements Needed in a POVM Attaining the Accessible Information",
"url": "https://arxiv.org/abs/quant-ph/0009077"
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