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Open Quantum Systems Decoherence
Quantum Simulation
Entanglement Theory Quantum Correlations
Entropy, subentropy and the elementary symmetric functions
arXiv
Authors: Richard Jozsa, Graeme Mitchison
Year
2013
Paper ID
31259
Status
Preprint
Abstract Read
~2 min
Abstract Words
77
Citations
N/A
Abstract
We use complex contour integral techniques to study the entropy H and subentropy Q as functions of the elementary symmetric polynomials, revealing a series of striking properties. In particular for these variables, derivatives of -Q are equal to derivatives of H of one higher order and the first derivatives of H and Q are seen to be completely monotone functions. It then follows that exp (-H) and exp(-Q) are Laplace transforms of infinitely divisible probability distributions.
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- We use complex contour integral techniques to study the entropy H and subentropy Q as functions of the elementary symmetric polynomials, revealing a series of striking properties.
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