Universal continuous-variable quantum computation: Requirement of optical nonlinearity for photon counting

By Stephen D. Bartlett, Barry C. Sanders. 2001

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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.

Subfields: Artificial Intelligence

View Paper: https://www.semanticscholar.org/paper/b19698fdd377f34c62c9ed42675485d73cc99a39