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Entropy Power Inequality in Fermionic Quantum Computation
August 12, 2020 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
N. J. B. Aza, D. A. Barbosa T
arXiv ID
2008.05532
Category
math-ph
Cross-listed
cs.IT,
math.OA,
quant-ph
Citations
1
Venue
arXiv.org
Last Checked
3 months ago
Abstract
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.
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