Four-level and two-qubit systems, sub-algebras, and unitary integration
| dc.creator | Rau, A. R. P. | |
| dc.creator | Selvaraj, G. | |
| dc.creator | Uskov, D. | |
| dc.date | 2005-01-11 | |
| dc.date.accessioned | 2026-07-07T11:36:47Z | |
| dc.date.available | 2026-07-07T11:36:47Z | |
| dc.description | Four-level systems in quantum optics, and for representing two qubits in quantum computing, are difficult to solve for general time-dependent Hamiltonians. A systematic procedure is presented which combines analytical handling of the algebraic operator aspects with simple solutions of classical, first-order differential equations. In particular, by exploiting $su(2) \oplus su(2)$ and $su(2) \oplus su(2) \oplus u(1)$ sub-algebras of the full SU(4) dynamical group of the system, the non-trivial part of the final calculation is reduced to a single Riccati (first order, quadratically nonlinear) equation, itself simply solved. Examples are provided of two-qubit problems from the recent literature, including implementation of two-qubit gates with Josephson junctions. | |
| dc.description | 1 gzip file with 1 tex and 9 eps figure files. Unpack with command: gunzip RSU05.tar.gz | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0501048 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0501048 | |
| dc.identifier | Phys.Rev.A71:062316,2005 | |
| dc.identifier | doi:10.1103/PhysRevA.71.062316 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/199038 | |
| dc.subject | Quantum Physics | |
| dc.title | Four-level and two-qubit systems, sub-algebras, and unitary integration | |
| dc.type | text |