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Quantum Computation with Harmonic Oscillators

Stephen D. Bartlett·Barry C. Sanders·Benjamin T. H. Varcoe·Hubert de Guise
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Abstract

By encoding a qudit in a harmonic oscillator and investigating the infinite limit, we give an entirely new realization of continuous-variable quantum computation. The generalized Pauli group is generated by number and phase operators for harmonic oscillators. We describe a physical realization in terms of modes in a microwave cavity, coupled via a standard Kerr nonlinearity.

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Stephen D. Bartlett, Barry C. Sanders, Benjamin T. H. Varcoe, Hubert de Guise. 2002-04-08. Quantum Computation with Harmonic Oscillators. https://arxiv.org/abs/quant-ph/0011080

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