Linear-optical approach to encoding qubits into harmonic-oscillator modes via quantum walks

• URL: http://arxiv.org/abs/2404.16594v1
• Date: Thu, 25 Apr 2024 13:18:08 GMT
• Title: Linear-optical approach to encoding qubits into harmonic-oscillator modes via quantum walks
• Authors: Jun-Yi Wu, Shin-Tza Wu,
• Abstract summary: We propose a linear-optical scheme that allows encoding grid-state quantum bits (qubits) into a bosonic mode. We employ the cat state as a quantum coin that enables encoding approximate Gottesman-Kitaev-Preskill (GKP) qubits through quantum walk of a squeezed vacuum state in phase space.
• Score: 0.9668407688201361
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a linear-optical scheme that allows encoding grid-state quantum bits (qubits) into a bosonic mode using cat state and post-selection as sources of non-Gaussianity in the encoding. As a linear-optical realization of the quantum-walk encoding scheme in [Lin {\em et al.}, Quantum Info. Processing {\bf 19}, 272 (2020)], we employ the cat state as a quantum coin that enables encoding approximate Gottesman-Kitaev-Preskill (GKP) qubits through quantum walk of a squeezed vacuum state in phase space. We show that the conditional phase-space displacement necessary for the encoding can be realized through a Mach-Zehnder interferometer (MZI) assisted with ancillary cat-state input under appropriate parameter regimes. By analyzing the fidelity of the MZI-based displacement operation, we identify the region of parameter space over which the proposed linear-optical scheme can generate grid-state qubits with high fidelity. With adequate parameter setting, our proposal should be accessible to current optical and superconducting-circuit platforms in preparing grid-state qubits for bosonic modes in the, respectively, optical and microwave domains.

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