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Geometric Algebra Speaks Quantum Esperanto.
- Source :
- Advances in Applied Clifford Algebras; Feb2024, Vol. 34 Issue 1, p1-31, 31p
- Publication Year :
- 2024
-
Abstract
- The goal of this paper is to elucidate the hermitian structure of the algebra of geometric quaternions H (that is, the even algebra of the geometric algebra of the euclidean 3d space), use it to couch a geometric and dynamical presentation of the q-bit, and to see its bearing on the geometric structure of q-registers (arrangements of finite number of q-bits) and with that to pay a brief revisit to the formal structure of q-computations, with emphasis on the algebra structure of H ⊗ n . The main underlying theme is the unraveling of the subtle geometric relations between H and the sphere S 2 in the 3d euclidean space. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01887009
- Volume :
- 34
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Advances in Applied Clifford Algebras
- Publication Type :
- Academic Journal
- Accession number :
- 174406928
- Full Text :
- https://doi.org/10.1007/s00006-023-01304-9