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Journal article

Approximate counting and quantum computation

Abstract:

Motivated by the result that an 'approximate' evaluation of the Jones polynomial of a braid at a 5th root of unity can be used to simulate the quantum part of any algorithm in the quantum complexity class BQP, and results relating BQP to the counting class GapP, we introduce a form of additive approximation which can be used to simulate a function in BQP. We show that all functions in the classes νP and GapP have such an approximation scheme under certain natural normalizations. However, we a...

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Publication status:
Published

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Publisher copy:
10.1017/S0963548305007005

Authors


Journal:
COMBINATORICS PROBABILITY and COMPUTING
Volume:
14
Issue:
5-6
Pages:
737-754
Publication date:
2005-01-01
DOI:
EISSN:
1469-2163
ISSN:
0963-5483
Source identifiers:
24579
Language:
English
Pubs id:
pubs:24579
UUID:
uuid:0a758a31-3a26-42b8-94c7-817e55185e7e
Local pid:
pubs:24579
Deposit date:
2012-12-19

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