Quantum spherical codes
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866911203027058688 |
|---|---|
| author | Jain, Shubham P. Iosue, Joseph T. Barg, Alexander Albert, Victor V. |
| author_facet | Jain, Shubham P. Iosue, Joseph T. Barg, Alexander Albert, Victor V. |
| contents | We introduce a framework for constructing quantum codes defined on spheres by recasting such codes as quantum analogues of the classical spherical codes. We apply this framework to bosonic coding, obtaining multimode extensions of the cat codes that can outperform previous constructions while requiring a similar type of overhead. Our polytope-based cat codes consist of sets of points with large separation that at the same time form averaging sets known as spherical designs. We also recast concatenations of CSS codes with cat codes as quantum spherical codes, revealing a new way to autonomously protect against dephasing noise. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_11593 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum spherical codes Jain, Shubham P. Iosue, Joseph T. Barg, Alexander Albert, Victor V. Quantum Physics Mesoscale and Nanoscale Physics Information Theory Metric Geometry We introduce a framework for constructing quantum codes defined on spheres by recasting such codes as quantum analogues of the classical spherical codes. We apply this framework to bosonic coding, obtaining multimode extensions of the cat codes that can outperform previous constructions while requiring a similar type of overhead. Our polytope-based cat codes consist of sets of points with large separation that at the same time form averaging sets known as spherical designs. We also recast concatenations of CSS codes with cat codes as quantum spherical codes, revealing a new way to autonomously protect against dephasing noise. |
| title | Quantum spherical codes |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Information Theory Metric Geometry |
| url | https://arxiv.org/abs/2302.11593 |