Related papers: Approximate cubic phase states in a trapped ion

Approximate cubic phase states in a trapped ion

URL: http://arxiv.org/abs/2609.03032v1
Date: Wed, 02 Sep 2026 18:04:48 GMT
Title: Approximate cubic phase states in a trapped ion
Abstract summary: We present a method to generate a quantum state in the vibrational mode of a trapped ion.<n>We show that the evolved vibrational state approximates the cubic phase state with high fidelity.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Universal quantum computation with continuous variables cannot be attained solely with a set of Gaussian operations, it requires the addition of a non-Gaussian element, at least of third order in the quadrature operators, such as the cubic phase state. In this work, we present a method to generate a quantum state in the vibrational mode of a trapped ion that exhibits characteristics compatible with the cubic phase state, such as the distinctive oscillating pattern in its Wigner function. This state emerges from the nonlinear Jaynes-Cummings interaction native to the trapped-ion model, and under the assumption of an initial coherent vibrational state with a large occupation number. Consequently, the evolved vibrational state approximates the cubic phase state with high fidelity, and we use the variance of a nonlinear combination of the quadratures to characterize it. Finally, we provide an analytical expression for its cubicity that shows the high performance of the approximate vibrational cubic phase state.

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