The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Topological Quantum Computation
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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Cites
Algorithms for quantum computation: discrete logarithms and factoring
Shor, P. W. (2002) · Proceedings 35th Annual Symposium on Foundations of Computer Science · doi:10.1109/sfcs.1994.365700 · Cited by 8,713
Simulating physics with computers
Feynman, R. P. (1982) · International Journal of Theoretical Physics · doi:10.1007/bf02650179 · Cited by 7,691
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Shor, P. W. (1995) · Physical Review A · doi:10.1103/physreva.52.r2493 · Cited by 4,479
Quantum Mechanics Helps in Searching for a Needle in a Haystack
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Fidelity for Mixed Quantum States
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Quantum computations: algorithms and error correction
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Cited by
Non-Abelian anyons and topological quantum computation
Nayak, C., Simon, S. H., Stern, A., Freedman, M., & Das Sarma, S. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1083 · Cited by 6,861
Quantum Algorithm for Linear Systems of Equations
Harrow, A. W., Hassidim, A., & Lloyd, S. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.150502 · Cited by 3,325
Non-Abelian statistics and topological quantum information processing in 1D wire networks
Alicea, J., Oreg, Y., Refael, G., von Oppen, F., & Fisher, M. P. A. (2011) · Nature Physics · doi:10.1038/nphys1915 · Cited by 1,636
A Survey on quantum computing technology
Gyongyosi, L., & Imre, S. (2019) · Computer Science Review · doi:10.1016/j.cosrev.2018.11.002 · Cited by 646
Universal Topological Quantum Computation from a Superconductor-Abelian Quantum Hall Heterostructure
Mong, R. S. K., Clarke, D. J., Alicea, J., Lindner, N. H., Fendley, P., Nayak, C., Oreg, Y., Stern, A., Berg, E., Shtengel, K., et al. (2014) · Physical Review X · doi:10.1103/physrevx.4.011036 · Cited by 366
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
- OpenAlex
- W2005028755
- Cited by
- 576
- References
- 11
- FWCI
- 23.13
- Type
- conference paper
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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