- 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...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1017/S0963548305007005
-
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- 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
- URN:
-
uuid:0a758a31-3a26-42b8-94c7-817e55185e7e
- Source identifiers:
-
24579
- Local pid:
- pubs:24579
- Language:
- English
- Copyright date:
- 2005
Journal article
Approximate counting and quantum computation
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