Quantum Fourier transform and tomographic Renyi entropic inequalities

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.

Talk presented at the International Workshop "Nonlinear Physics. Theory and Experiment. V" (Gallipoli, Lecce, Italy, 2008), to appear in Theor. Math. Phys

References in corpus (5)

• Formulation of the uncertainty relations in terms of the Renyi entropies
• Classicality in discrete Wigner functions
• Entropic uncertainty relations and locking: tight bounds for mutually unbiased bases
• New uncertainty relations for tomographic entropy: Application to squeezed states and solitons
• Entropic uncertainty relations for incomplete sets of mutually unbiased observables

Cited by in corpus (3)

• Multilevel superconducting circuits as two-qubit systems: Operations, state preparation, and entropic inequalities
• Convex ordering and quantification of quantumness
• Tomographic causal analysis of two-qubit states and tomographic discord