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arXiv · 2201.02246

Quantum computing based on complex Clifford algebras

Jaroslav Hrdina·Ales Navrat·Petr Vasik
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Abstract

We propose to represent both $n$--qubits and quantum gates acting on them as elements in the complex Clifford algebra defined on a complex vector space of dimension $2n.$ In this framework, the Dirac formalism can be realized in straightforward way. We demonstrate its functionality by performing quantum computations with several well known examples of quantum gates. We also compare our approach with representations that use real geometric algebras.

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Jaroslav Hrdina, Ales Navrat, Petr Vasik. 2022-01-06. Quantum computing based on complex Clifford algebras. https://arxiv.org/abs/2201.02246

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