The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Multivalued logic gates for quantum computation
Open accessAbstract
We develop a multivalued logic for quantum computing for use in multi-level quantum systems, and discuss the practical advantages of this approach for scaling up a quantum computer. Generalizing the methods of binary quantum logic, we establish that arbitrary unitary operations on any number of d-level systems $(d>2)$ can be decomposed into logic gates that operate on only two systems at a time. We show that such multivalued logic gates are experimentally feasible in the context of the linear ion trap scheme for quantum computing. By using d levels in each ion in this scheme, we reduce the number of ions needed for a computation by a factor of ${\mathrm{log}}_{2}d.$
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Cites
Elementary gates for quantum computation
Barenco, A., Bennett, C. H., Cleve, R., DiVincenzo, D. P., Margolus, N., Shor, P., Sleator, T., Smolin, J. A., & Weinfurter, H. (1995) · Physical Review A · doi:10.1103/physreva.52.3457 · Cited by 4,311
Quantum Mechanics Helps in Searching for a Needle in a Haystack
Grover, L. K. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.325 · Cited by 4,306
Quantum Computations with Cold Trapped Ions
Cirac, J. I., & Zoller, P. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.4091 · Cited by 3,733
Two-bit gates are universal for quantum computation
DiVincenzo, D. P. (1995) · Physical Review A · doi:10.1103/physreva.51.1015 · Cited by 1,069
Realizable Universal Quantum Logic Gates
Sleator, T., & Weinfurter, H. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.4087 · Cited by 515
Polarization state of a biphoton: Quantum ternary logic
Burlakov, A. V., Chekhova, M. V., Karabutova, O. A., Klyshko, D. N., & Kulik, S. P. (1999) · Physical Review A · doi:10.1103/physreva.60.r4209 · Cited by 104
Cited by
Emulation of a Quantum Spin with a Superconducting Phase Qudit
Neeley, M., Ansmann, M., Bialczak, R. C., Hofheinz, M., Lucero, E., O'Connell, A. D., Sank, D., Wang, H., Wenner, J., Cleland, A. N., et al. (2009) · Science · doi:10.1126/science.1173440 · Cited by 304
Asymptotic improvements to quantum circuits via qutrits
Gokhale, P., Baker, J. M., Duckering, C., Brown, N. C., Brown, K. R., & Chong, F. T. (2019) · Proceedings of the 46th International Symposium on Computer Architecture · doi:10.1145/3307650.3322253 · Cited by 120
Fernández de Fuentes, I., Botzem, T., Johnson, M. A. I., Vaartjes, A., Asaad, S., Mourik, V., Hudson, F. E., Itoh, K. M., Johnson, B. C., Jakob, A. M., et al. (2024) · Nature Communications · doi:10.1038/s41467-024-45368-y · Cited by 46
Metadata
- Authors
- Muthukrishnan, A., & Stroud, C. R.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2000-10-16
- Volume
- 62
- Issue
- 5
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2063684073
- Cited by
- 399
- References
- 6
- FWCI
- 4.16
- Type
- journal article
- Language
- en
- Open access
- green
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