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

Cousin

Zoo code information

Internal code ID: hybrid_qudit_oscillator

Your contribution is welcome!

on github.com (edit & pull request)

edit on this site

Zoo Code ID: hybrid_qudit_oscillator

Cite as:
“Hybrid qudit-oscillator code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/hybrid_qudit_oscillator
BibTeX:
@incollection{eczoo_hybrid_qudit_oscillator, title={Hybrid qudit-oscillator code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/hybrid_qudit_oscillator} }
Permanent link:
https://errorcorrectionzoo.org/c/hybrid_qudit_oscillator

Cite as:

“Hybrid qudit-oscillator code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/hybrid_qudit_oscillator

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/quantum/oscillators/hybrid_qudit_oscillator.yml.