An Argument for Strong Positivity of the Decoherence Functional
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866913395187384320 |
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| author | Dowker, Fay Wilkes, Henry |
| author_facet | Dowker, Fay Wilkes, Henry |
| contents | We give an argument for strong positivity of the decoherence functional as the correct, physical positivity condition in formulations of quantum theory based fundamentally on the path integral. We extend to infinite systems work by Boes and Navascues that shows that the set of strongly positive quantum systems is maximal amongst sets of systems that are closed under tensor product composition. We show further that the set of strongly positive quantum systems is the unique set that is maximal amongst sets that are closed under tensor product composition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2011_06120 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | An Argument for Strong Positivity of the Decoherence Functional Dowker, Fay Wilkes, Henry Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory We give an argument for strong positivity of the decoherence functional as the correct, physical positivity condition in formulations of quantum theory based fundamentally on the path integral. We extend to infinite systems work by Boes and Navascues that shows that the set of strongly positive quantum systems is maximal amongst sets of systems that are closed under tensor product composition. We show further that the set of strongly positive quantum systems is the unique set that is maximal amongst sets that are closed under tensor product composition. |
| title | An Argument for Strong Positivity of the Decoherence Functional |
| topic | Quantum Physics General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2011.06120 |