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arXiv:quant-ph/0110115

Quantum Computation with Coherent States, Linear Interactions and Superposed Resources

Timothy C. Ralph, William J. Munro, Gerard J Milburn

Published Oct 18, 2001• 12 citations
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Abstract

We show that quantum computation circuits with coherent states as the logical qubits can be constructed using very simple linear networks, conditional measurements and coherent superposition resource states.
DOI
10.48550/arxiv.quant-ph/0110115

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Fock states and their superpositions are exotic test beds for nonclassical physics and valuable resources for quantum technologies. We provide a simple protocol for the quantum measurement to generate an arbitrary Fock state and certain superposed Fock states from a coherent state of a target resonator, without any carefully tailored driving. This conditional protocol can be efficiently constructed by a sequence of joint free evolution of the resonator and an ancillary qubit, which are coupled via a Jaynes-Cummings interaction, and projective measurements on the qubit. By properly choosing the duration of each evolution-measurement cycle and the initial state of the resonator, we can generate a desired Fock state $|n\ensuremath{\rangle}$ and a superposed Fock state $(|0\ensuremath{\rangle}+|n\ensuremath{\rangle})/\sqrt{2}, n\ensuremath{\sim}10$, with a fidelity over 9999%99 in less than 30 measurements. Moreover, our protocol can be extended straightforwardly to the generation of a Bell-like state $(|00\ensuremath{\rangle}+|nn\ensuremath{\rangle})/\sqrt{2}$ with multiple excitations in a double-resonator system. We also calculate the outcome fidelity and the success probability of our protocol in the presence of decoherence.