dorsal/arxiv
View SchemaIf 1=2+3, then 1=2.3: Bell states, finite groups, and mutually unbiased bases, a unifying approach
| Authors | Thomas Durt |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0401046 |
| URL | https://arxiv.org/abs/quant-ph/0401046 |
Abstract
We study the relationship between Bell states, finite groups and complete sets of bases. We show how to obtain a set of N+1 bases in which Bell states are invariant. They generalize the X, Y and Z qubit bases and are associated to groups of unitary transformations that generalize the sigma operators of Pauli. When the dimension N is a prime power, we derive (in agreement with well-known results) a set of mutually unbiased bases. We show how they can be expressed in terms of the (operations of the) associated finite field of N elements.
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"abstract": "We study the relationship between Bell states, finite groups and complete\nsets of bases. We show how to obtain a set of N+1 bases in which Bell states\nare invariant.\n They generalize the X, Y and Z qubit bases and are associated to groups of\nunitary transformations that generalize the sigma operators of Pauli. When the\ndimension N is a prime power, we derive (in agreement with well-known results)\na set of mutually unbiased bases. We show how they can be expressed in terms of\nthe (operations of the) associated finite field of N elements.",
"arxiv_id": "quant-ph/0401046",
"authors": [
"Thomas Durt"
],
"categories": [
"quant-ph"
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"title": "If 1=2+3, then 1=2.3: Bell states, finite groups, and mutually unbiased bases, a unifying approach",
"url": "https://arxiv.org/abs/quant-ph/0401046"
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