Calculation of the disentropy of the Wigner function using the Lambert-Tsallis W-q unction with non-integer q values

摘要

The Wigner function is a mathematical tool that provides important information about a quantum light state, like entanglement and quantumness. For example, in a recent work it was shown the disentropy of the Wigner function using the Lambert-Tsallis W-q function with q = 2 can be used as a measure of quantumness. When the value of q is non-integer, the disentropy and W-q function have fractional powers and, hence, a negative value of the Wigner function can result in a complex value for the disentropy. This prohibits the use of those functions in the calculation of the disentropy of the Wigner function of highly interesting states, such as Schrodinger cats. In order to overcome this problem, we propose a new disentropy equation inspired by the Renyi entropy. The advantages and disadvantages of this new disentropy are discussed and numerical examples are shown. (C) 2020 Optical Society of America