11 citations · 14 across the 5 of their papers we have counts for
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Majorization theory for quasiprobabilities
Twesh Upadhyaya, Zacharie Van Herstraeten, Jack Davis +3
The question of how to characterize disorder arises in a wide variety of settings, including information theory, economics, and quantum thermodynamics. The theory of majorization p…
Classical capacity of quantum non-Gaussian attenuator and amplifier channels
Zacharie Van Herstraeten, Saikat Guha, Nicolas J. Cerf
We consider a quantum bosonic channel that couples the input mode via a beam splitter or two-mode squeezer to an environmental mode that is prepared in an arbitrary state. We inves…
Majorization theoretical approach to entanglement enhancement via local filtration
Zacharie Van Herstraeten, Nicolas J. Cerf, Saikat Guha +1
From the perspective of majorization theory, we study how to enhance the entanglement of a two-mode squeezed vacuum (TMSV) state by using local filtration operations. We present se…
Complex-valued Wigner entropy of a quantum state
Nicolas J. Cerf, Anaelle Hertz, Zacharie Van Herstraeten
It is common knowledge that the Wigner function of a quantum state may admit negative values, so that it cannot be viewed as a genuine probability density. Here, we examine the dif…
Exploring the possibility of a complex-valued non-Gaussianity measure for quantum states of light
Andrew J. Pizzimenti, Prajit Dhara, Zacharie Van Herstraeten +2
We consider a quantity that is the differential relative entropy between a generic Wigner function and a Gaussian one. We prove that said quantity is minimized with respect to its…