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Trapped Ion Quantum Computing Quantum Chemistry

Quantum Hamiltonian Computing protocols for molecular electronics Boolean logic gates

arXiv

Authors: Omid Faizy Namarvar, Olivier Giraud, Bertrand Georgeot, Christian Joachim

Year

2018

Paper ID

22974

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

Quantum Hamiltonian Computing is a recent approach that uses quantum systems, in particular a single molecule, to perform computational tasks. Within this approach, we present explicit methods to construct logic gates using two different designs, where the logical outputs are encoded either at fixed energy and spatial positioning of the quantum states, or at different energies. We use these results to construct quantum Boolean adders involving a minimal number of quantum states with the two designs. We also establish a matrix algebra giving an analogy between classical Boolean logic gates and quantum ones, and assess the possibilities of both designs for more complex gates.

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This paper contributes to the Quantum Chemistry research area in the Quantum Articles archive.
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Quantum Hamiltonian Computing is a recent approach that uses quantum systems, in particular a single molecule, to perform computational tasks.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1812.00395 [2] arXiv https://arxiv.org/abs/1812.00395 [3] Publisher https://arxiv.org/abs/1812.00395

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