Superdense Coding and Stabiliser Codes with Ising-coupled Entanglement
Fuente:
arXiv
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914746420166656 |
|---|---|
| author | Jansma, Abel |
| author_facet | Jansma, Abel |
| contents | A new class of quantum states is introduced by demanding that the computational measurement statistics approach the Boltzmann distribution of higher-order strongly coupled Ising models. The states, referred to as $n$-coupled states, are superpositions of even or odd parity $n$-qubit states, generalize Bell states, and form an orthonormal basis for the $n$-qubit Hilbert space. For any $n$, the states are maximally connected and locally maximally entangled. It is proven that the $n$-qubit W and GHZ multipartite entanglement classes have vanishing hyperdeterminant for all $n\geq 3$ and $n\geq 4$, respectively, and that the $n$-coupled states fall in the latter. Still, multiple novel protocols for multi-party secure dense coding and stabiliser code construction are presented, which rely on the structure of $n$-coupled states as well as symmetry-breaking phase perturbations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06454 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Superdense Coding and Stabiliser Codes with Ising-coupled Entanglement Jansma, Abel Quantum Physics 81P68 A new class of quantum states is introduced by demanding that the computational measurement statistics approach the Boltzmann distribution of higher-order strongly coupled Ising models. The states, referred to as $n$-coupled states, are superpositions of even or odd parity $n$-qubit states, generalize Bell states, and form an orthonormal basis for the $n$-qubit Hilbert space. For any $n$, the states are maximally connected and locally maximally entangled. It is proven that the $n$-qubit W and GHZ multipartite entanglement classes have vanishing hyperdeterminant for all $n\geq 3$ and $n\geq 4$, respectively, and that the $n$-coupled states fall in the latter. Still, multiple novel protocols for multi-party secure dense coding and stabiliser code construction are presented, which rely on the structure of $n$-coupled states as well as symmetry-breaking phase perturbations. |
| title | Superdense Coding and Stabiliser Codes with Ising-coupled Entanglement |
| topic | Quantum Physics 81P68 |
| url | https://arxiv.org/abs/2404.06454 |