Generating Fock-state superpositions from coherent states by selective measurement

• URL: http://arxiv.org/abs/2408.07403v2
• Date: Mon, 21 Oct 2024 09:03:34 GMT
• Title: Generating Fock-state superpositions from coherent states by selective measurement
• Authors: Chen-yi Zhang, Jun Jing,
• Abstract summary: We provide a protocol for the quantum measurement to generate an arbitrary Fock state from a coherent state of a target resonator. This protocol can be efficiently constructed by a sequence of joint free evolution of the resonator and an ancillary qubit. We calculate the outcome fidelity and the success probability of our protocol in the presence of decoherence.
• Score: 1.99945301851239
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Fock states and their superpositions are exotic testbeds 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 $|n\rangle$ and a superposed Fock state $(|0\rangle+|n\rangle)/\sqrt{2}$, $n\sim10$, with a fidelity over $99\%$ in less than $30$ measurements. Moreover, our protocol can be extended straightforwardly to the generation of a Bell-like state $(|00\rangle+|nn\rangle)/\sqrt{2}$ 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.

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