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- W4285597493 abstract "We provide a countable set of conditions based on elementary symmetric polynomials that are necessary and sufficient for a trace class integral operator to be positive semidefinite, which is an important cornerstone for quantum theory in phase-space representation. We also present a new, efficiently computable algorithm based on Newton's identities. Our test of positivity is much more sensitive than the ones given by the linear entropy and Robertson-Schrodinger's uncertainty relations; our first condition is equivalent to the non-negativity of the linear entropy." @default.
- W4285597493 created "2022-07-16" @default.
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- W4285597493 date "2022-07-13" @default.
- W4285597493 modified "2023-09-23" @default.
- W4285597493 title "Newton's identities and positivity of trace class integral operators" @default.
- W4285597493 doi "https://doi.org/10.48550/arxiv.2207.06119" @default.
- W4285597493 hasPublicationYear "2022" @default.
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