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- W1996027154 abstract "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 $mathrm{su}(2)ensuremath{bigoplus}mathrm{su}(2)$ and $mathrm{su}(2)ensuremath{bigoplus}mathrm{su}(2)ensuremath{bigoplus}mathrm{u}(1)$ subalgebras of the full SU(4) dynamical group of the system, the nontrivial 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." @default.
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- W1996027154 date "2005-06-15" @default.
- W1996027154 modified "2023-10-09" @default.
- W1996027154 title "Four-level and two-qubit systems, subalgebras, and unitary integration" @default.
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- W1996027154 doi "https://doi.org/10.1103/physreva.71.062316" @default.
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