• Corpus ID: 221112498

Entropy Power Inequality in Fermionic Quantum Computation

@article{Aza2020EntropyPI,
  title={Entropy Power Inequality in Fermionic Quantum Computation},
  author={N. J. B. Aza and T D.A.Barbosa},
  journal={ArXiv},
  year={2020},
  volume={abs/2008.05532}
}
We study quantum computation relations on unital finite-dimensional 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. 
1 Citations
Curvature-dimension conditions for symmetric quantum Markov semigroups
TLDR
Two noncommutative versions of curvature-dimension bounds for symmetric quantum Markov semigroups over matrix algebras are introduced and a family of dimension-dependent functional inequalities, a version of the Bonnet–Myers theorem and concavity of entropy power in the noncommuter setting are proved.

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