Brandt, Howard E. (2010) Quantum Computational Jacobi Fields. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 26 (2). pp. 247-264. ISSN 0866-0174
|
Text
amapn26_20.pdf Download (166kB) | Preview |
Abstract
In the Riemannian geometry of quantum computation, the quantum evolution is described in terms of the special unitary group of n-qubit unitary operators with unit determinant. To elaborate on several aspects of the methodology, the Riemannian curvature, geodesic equation, Jacobi equation, and lifted Jacobi equation on the group manifold are explicitly derived. This is important for investigations of the global characteristics of geodesic paths in the group manifold, and the determination of optimal quantum circuits for carrying out a quantum computation.
Item Type: | Article |
---|---|
Additional Information: | quantum computing, quantum circuits, quantum complexity, unitary group, differential geometry, Riemannian geometry, curvature, geodesics, Lax equation, Jacobi fields |
Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
SWORD Depositor: | MTMT SWORD |
Depositing User: | Zsolt Baráth |
Date Deposited: | 02 Feb 2024 09:42 |
Last Modified: | 02 Feb 2024 09:42 |
URI: | http://real.mtak.hu/id/eprint/187139 |
Actions (login required)
![]() |
Edit Item |