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quant-ph2021★ 14 cited
Continuous majorization in quantum phase space
Zacharie Van Herstraeten, Michael G. Jabbour, Nicolas J. Cerf
We explore the role of majorization theory in quantum phase space. To this purpose, we restrict ourselves to quantum states with positive Wigner functions and show that the continu…
quant-ph2021★ 37 cited
Quantum Wigner entropy
Zacharie Van Herstraeten, Nicolas J. Cerf
We define the Wigner entropy of a quantum state as the differential Shannon entropy of the Wigner function of the state. This quantity is properly defined only for states that poss…