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

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

2001-10-05

arxiv.org/abs/quant-ph/0110039v2

Phys. Rev. A 65, 042304 (2002)

Physics

Quantum Physics

6 pages, no figures, replaced with published version

Scientific paper

10.1103/PhysRevA.65.042304

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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