5 papers
Boson-fermion complementarity in a linear interferometer: An identity relating the determinant and permanent of a matrix
Michael G. Jabbour, Nicolas J. Cerf
Bosonic and fermionic statistics are well known to give rise to antinomic behaviors, most notably boson bunching vs fermion antibunching. Here, we establish a fundamental relation…
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…
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…
Information and majorization theory for fermionic phase-space distributions
Nicolas J. Cerf, Tobias Haas
We put forward several information-theoretic measures for analyzing the uncertainty of fermionic phase-space distributions using the theory of supernumbers. In contrast to the boso…