The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
Single-photon Kerr nonlinearities do not help quantum computation
Abstract
By embedding an atom capable of electromagnetically induced transparency inside an appropriate photonic-crystal microcavity it may become possible to realize an optical nonlinearity that can impart a $\ensuremath{\pi}$-rad-peak phase shift in response to a single-photon excitation. Such a device, if it operated at high fidelity, would then complete a universal gate set for all-optical quantum computation. It is shown here that the causal, noninstantaneous behavior of any ${\ensuremath{\chi}}^{(3)}$ nonlinearity is enough to preclude such a high-fidelity operation. In particular, when a single-photon-sensitive ${\ensuremath{\chi}}^{(3)}$ nonlinearity has a response time that is much shorter than the duration of the quantum computer's single-photon pulses, essentially no overall phase shift is imparted to these pulses by cross-phase modulation. Conversely, when this nonlinearity has a response time that is much longer than this pulse duration a single-photon pulse can induce a $\ensuremath{\pi}$-rad overall phase shift through cross-phase modulation, but the phase noise injected by the causal, noninstantaneous response function precludes this from being a high-fidelity operation.
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Citations
Cites
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Cited by
Tame, M. S., McEnery, K. R., Özdemir, Ş. K., Lee, J., Maier, S. A., & Kim, M. S. (2013) · Nature Physics · doi:10.1038/nphys2615 · Cited by 1,573
Quantum memories: emerging applications and recent advances
Heshami, K., England, D. G., Humphreys, P. C., Bustard, P. J., Acosta, V. M., Nunn, J., & Sussman, B. J. (2016) · Journal of Modern Optics · doi:10.1080/09500340.2016.1148212 · Cited by 503
Introduction to Optical Quantum Information Processing
Kok, P., & Lovett, B. W. (2010) · doi:10.1017/cbo9781139193658 · Cited by 273
Deterministic entanglement distillation for secure double-server blind quantum computation
Sheng, Y.-B., & Zhou, L. (2015) · Scientific Reports · doi:10.1038/srep07815 · Cited by 151
The Quantum Theory of Optical Communications
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Self-citation
Metadata
- Authors
- Shapiro, J. H.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2006-06-07
- Volume
- 73
- Issue
- 6
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1980291018
- Cited by
- 310
- References
- 19
- FWCI
- 8.80
- Type
- journal article
- Language
- en
- Open access
- closed
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