Hybrid qudit-oscillator code
Description
Encodes a \(K\)-dimensional logical Hilbert space into \(n_1\) qudits of dimension \(q\) and \(n_2 \neq 0\) oscillators, i.e., the Hilbert space of \(\ell^2\)-normalizable functions on \(\mathbb{Z}_q^{n_1} \times \mathbb{R}^{n_2}\).
Parent
- Bosonic code — The physical Hilbert space of a hybrid qubit-oscillator code contains at least one oscillator.
Child
- Very small logical qubit (VSLQ) code — VSLQ code yields a logical qubit out of two physical qubits and two oscillators.
Cousin
- Qudit-into-oscillator code — Hybrid code with \(n_1=0\).
Zoo code information
Cite as:
“Hybrid qudit-oscillator code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/hybrid_qudit_oscillator