Quantum Potato Chips
Fuente:
arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915002765541376 |
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| author | Murzin, Nikolay Tenorio, Bruno Rodriguez, Sebastian McNally, John Bahrami, Mohammad |
| author_facet | Murzin, Nikolay Tenorio, Bruno Rodriguez, Sebastian McNally, John Bahrami, Mohammad |
| contents | We examine qubit states under symmetric informationally-complete measurements, representing state vectors as probability 4-vectors within a 3-simplex in $bb(R)^4$. Using geometric transformations, this 3-simplex is mapped to a tetrahedron in $bb(R)^3$. A specific surface within this tetrahedron allows for the separation of probability vectors into two disjoint 1-simplices. The intersection of this surface with the insphere identifies a "quantum potato chip" region, where probability 4-vectors reduce to two binary classical variables. States within this region can be fully reconstructed using only two given projective measurements, a feature not found elsewhere in the state space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_01082 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum Potato Chips Murzin, Nikolay Tenorio, Bruno Rodriguez, Sebastian McNally, John Bahrami, Mohammad Quantum Physics We examine qubit states under symmetric informationally-complete measurements, representing state vectors as probability 4-vectors within a 3-simplex in $bb(R)^4$. Using geometric transformations, this 3-simplex is mapped to a tetrahedron in $bb(R)^3$. A specific surface within this tetrahedron allows for the separation of probability vectors into two disjoint 1-simplices. The intersection of this surface with the insphere identifies a "quantum potato chip" region, where probability 4-vectors reduce to two binary classical variables. States within this region can be fully reconstructed using only two given projective measurements, a feature not found elsewhere in the state space. |
| title | Quantum Potato Chips |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2411.01082 |