Entropy Power Inequality in Fermionic Quantum Computation
Abstract
We study quantum computation relations on unital finitedimensional CAR $C^{*}$algebras. We prove an entropy power inequality (EPI) in a fermionic setting, which presumably will permit understanding the capacities in fermionic linear optics. Similar relations to the bosonic case are shown, and alternative proofs of known facts are given. Clifford algebras and the Grassmann representation can thus be used to obtain mathematical results regarding coherent fermion states.
 Publication:

arXiv eprints
 Pub Date:
 August 2020
 arXiv:
 arXiv:2008.05532
 Bibcode:
 2020arXiv200805532A
 Keywords:

 Mathematical Physics;
 Computer Science  Information Theory;
 Mathematics  Operator Algebras;
 Quantum Physics
 EPrint:
 32 pages