Entropy Power Inequality in Fermionic Quantum Computation
N. J. B. Aza, D. A. Barbosa T
TL;DR
This paper establishes an entropy power inequality for fermionic quantum systems, enhancing understanding of quantum capacities in fermionic linear optics and connecting fermionic and bosonic quantum information theories.
Contribution
It introduces a fermionic entropy power inequality, providing new mathematical tools for analyzing fermionic quantum states and their capacities.
Findings
Proves an entropy power inequality in fermionic quantum systems.
Shows relations between fermionic and bosonic quantum information theories.
Provides alternative proofs of existing mathematical facts in fermionic contexts.
Abstract
We study quantum computation relations on unital finite-dimensional CAR -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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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Mechanics and Non-Hermitian Physics · Spectral Theory in Mathematical Physics