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Quantum Computation with Harmonic Oscillators

arXiv:quant-ph/0011080

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.

4 pages, version as it appears in conference proceedings