Abstract
We describe experimental demonstrations of two-mode, three-mode linear, and four-mode linear cluster states for optical continuous variables. We employ the methodology of Gaussian cluster states: an approximate cluster state with an arbitrary graph can be generated by combining \(p\)-squeezed vacuum states on an appropriate network of beam splitters. Entanglement is detected by using sufficient conditions for the full inseparability via the van Loock-Furusawa criteria. In the case of the two-mode cluster state, entanglement is additionally measured by acquiring its PT symplectic eigenvalues and logarithmic negativity. The effective squeezing levels of these cluster states are about 5 dB below the shot noise level. These cluster states serve as resources for the two-mode operation experiments shown in Chaps. 7, 8, and 9.
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Notes
- 1.
Another useful model is that there are no losses except for generation of squeezed states. It can be formulated by placing virtual beam splitters just after ideal squeezed-state resources.
- 2.
To be precise, squeezed states are generated at several frequency bands with different center frequencies corresponding to the frequency comb of the cavity as far as the phase matching condition is satisfied. However, they will be filtered out by homodyne detections because they detect interference between the signal beams and the local oscillator beams with the laser frequency, and because the detectors are not broadband enough to detect them.
References
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Saleh, B.E.A., Teich, M.C.: Fundamentals of Photonics, 2nd edn. Wiley-Interscience, Berlin (2007)
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© 2015 Springer Japan
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Ukai, R. (2015). Experimental Generation of Optical Continuous-Variable Cluster States. In: Multi-Step Multi-Input One-Way Quantum Information Processing with Spatial and Temporal Modes of Light. Springer Theses. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55019-8_6
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DOI: https://doi.org/10.1007/978-4-431-55019-8_6
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