We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Quantum computing based on complex Clifford algebras.
- Authors
Hrdina, Jaroslav; Návrat, Aleš; Vašík, Petr
- 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.
- Subjects
QUANTUM computing; CLIFFORD algebras; QUANTUM gates; BIVECTORS; VECTOR spaces; ALGEBRA
- Publication
Quantum Information Processing, 2022, Vol 21, Issue 9, p1
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-022-03648-w