Two Operational Principles Single Out Quantum Theory
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913154850619392 |
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| author | Nakahira, Kenji |
| author_facet | Nakahira, Kenji |
| contents | Quantum theory combines density matrices, Born probabilities, tensor-product composites, positive-operator-valued measures (POVMs), and quantum channels. In a finite-dimensional causal operational theory, we prove that two postulates suffice: local input-output statistics identify channels, and every state admits an equivalent-system purification, unique up to reversible dynamics. The full complex quantum formalism follows; every consistent probability rule is realized as a POVM, so measurement no-restriction is derived rather than assumed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_23217 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Two Operational Principles Single Out Quantum Theory Nakahira, Kenji Quantum Physics Quantum theory combines density matrices, Born probabilities, tensor-product composites, positive-operator-valued measures (POVMs), and quantum channels. In a finite-dimensional causal operational theory, we prove that two postulates suffice: local input-output statistics identify channels, and every state admits an equivalent-system purification, unique up to reversible dynamics. The full complex quantum formalism follows; every consistent probability rule is realized as a POVM, so measurement no-restriction is derived rather than assumed. |
| title | Two Operational Principles Single Out Quantum Theory |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2605.23217 |