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Cited by 576

The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.

Topological Quantum Computation

Wang, Zhenghan·2010·CBMS Regional Conference Series in Mathematics
DOI 10.1090/cbms/112
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Abstract

A polynomial depth quantum circuit effects, by definition a polylocal unitary transformation of tensor product state space. It is a physically reasonable belief [Fy][L][FKW] that these are precisely the transformations which will be available from physics to help us solve computational problems. The poly-locality of discrete Fourier transform on cyclic groups is at the heart of Shor’s factoring algorithm. We describe a class of poly-local transformations, including all the discrete orthogonal wavelet transforms in the hope that these may be helpful in constructing new quantum algorithms. We also observe that even a rather mild violation of poly-locality leads to a model without oneway functions, giving further evidence that poly-locality is an essential concept. 1

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Metadata

Authors
Wang, Z.
Venue
CBMS Regional Conference Series in Mathematics
Publisher
American Mathematical Society
Published
2010-04-21
ISSN
  • 0160-7642 (ISSN-L)
  • 2380-5668
DOI
10.1090/cbms/112
OpenAlex
W2005028755
Cited by
576
References
11
FWCI
23.13
Type
conference paper
Language
en
Open access
closed

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