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| {group, space, representation} |
| {qubit, qubits, gate} |
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| {particle, mechanics, theory} |
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From Fermat's last theorem to the quantum computer
Alexander Yu. Vlasov
abstract: Despite of an active work of many researchers in the theory of quantum
computations, this area still saves some mysterious charm. It is already an
almost common idea, that maybe many fashionable current projects will fade in
future, but some absolutely unpredictable applications appear instead. Why such
optimistic predictions are legal here, despite of an extreme difficulty to
suggest each one new promising quantum algorithm or realistic "industrial"
application? One reason -- is very deep contents of this area. It maybe only an
extremely unlucky occasion, if such a fundamental thing won't supply us with
some bright insights and serious new applications. A sign of such nontrivial
contents of a theory -- are unexpected links between different branches of our
knowledge. In the present paper is mentioned one such link -- between
application of Weyl quantization in the theory of quantum computations and
abstract mathematical constructions born in mid of XIX century due to
unsuccessful tries to prove Fermat's last theorem.
- oai_identifier:
- oai:arXiv.org:quant-ph/0307019
- categories:
- quant-ph math-ph math.MP
- comments:
- LaTeXe, 13 pages
- arxiv_id:
- quant-ph/0307019
- created:
- 2003-07-03
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