Quantum Fourier transform and tomographic Renyi entropic inequalities
M. A. Man'ko, V. I. Man'ko
TL;DR
This paper introduces new inequalities for Renyi and von Neumann entropies in quantum states, highlighting the role of quantum Fourier transform and exploring their implications for quantum information theory.
Contribution
It presents novel inequalities involving quantum Fourier transform and spin tomograms, extending the understanding of quantum entropic relations.
Findings
Derived new inequalities for Renyi entropy with quantum Fourier dependence
Established limiting inequalities for von Neumann entropy
Discussed potential links with subadditivity and strong subadditivity
Abstract
Renyi entropy associated with spin tomograms of quantum states is shown to obey to new inequalities containing the dependence on quantum Fourier transform. The limiting inequality for the von Neumann entropy of spin quantum states and a new kind of entropy associated with quantum Fourier transform are obtained. Possible connections with subadditivity and strong subadditivity conditions for tomographic entropies and von Neumann entropies are discussed.
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