Linear-optical approach to encoding qubits into harmonic-oscillator modes via quantum walks
arxiv(2024)
摘要
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 et al., Quantum Info. Processing
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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