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Universal continuous-variable quantum computation: Requirement of optical nonlinearity for photon counting
Open accessAbstract
Although universal continuous-variable quantum computation cannot be achieved via linear optics (including squeezing), homodyne detection, and feed-forward, inclusion of ideal photon-counting measurements overcomes this obstacle. These measurements are sometimes described by arrays of beam splitters to distribute the photons across several modes. We show that such a scheme cannot be used to implement ideal photon counting and that such measurements necessarily involve nonlinear evolution. However, this requirement of nonlinearity can be moved ``off-line,'' thereby permitting universal continuous-variable quantum computation with linear optics.
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Citations
Cites
A scheme for efficient quantum computation with linear optics
Knill, E., Laflamme, R., & Milburn, G. J. (2001) · Nature · doi:10.1038/35051009 · Cited by 5,880
Encoding a qubit in an oscillator
Gottesman, D., Kitaev, A., & Preskill, J. (2001) · Physical Review A · doi:10.1103/physreva.64.012310 · Cited by 1,532
Cited by
Quantum Machine Learning in Feature Hilbert Spaces
Schuld, M., & Killoran, N. (2019) · Physical Review Letters · doi:10.1103/physrevlett.122.040504 · Cited by 1,840
Generating Optical Schrödinger Kittens for Quantum Information Processing
Ourjoumtsev, A., Tualle-Brouri, R., Laurat, J., & Grangier, P. (2006) · Science · doi:10.1126/science.1122858 · Cited by 911
Efficient Classical Simulation of Continuous Variable Quantum Information Processes
Bartlett, S. D., Sanders, B. C., Braunstein, S. L., & Nemoto, K. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.097904 · Cited by 425
Self-citationMultiphoton quantum optics and quantum state engineering
Dell’Anno, F., De Siena, S., & Illuminati, F. (2006) · Physics Reports · doi:10.1016/j.physrep.2006.01.004 · Cited by 310
Driving non-Gaussian to Gaussian states with linear optics
Browne, D. E., Eisert, J., Scheel, S., & Plenio, M. B. (2003) · Physical Review A · doi:10.1103/physreva.67.062320 · Cited by 191
Metadata
- Authors
- Bartlett, S. D., & Sanders, B. C.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2002-03-18
- Volume
- 65
- Issue
- 4
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2011527952
- Cited by
- 165
- References
- 2
- FWCI
- 6.02
- Type
- journal article
- Language
- en
- Open access
- green
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