Quantum computing in exactly solvable models and geometric phases. (English. Russian original) Zbl 1441.81069
J. Math. Sci., New York 153, No. 2, 186-196 (2008); translation from Sovrem. Mat. Prilozh. 44, 141-151 (2007).
Summary: A time-dependent periodic Hamiltonian admitting exact solutions is applied to construct a set of universal gates for quantum computation. The approach is based on transformation of soluble time-independent equations into time-dependent ones by employing a set of special time-dependent transformation operators. A class of periodic time-dependent Hamiltonians with cyclic solutions is constructed in a closed analytic form and the nonadiabatic geometric phase is determined in terms of the obtained solutions.
MSC:
| 81P68 | Quantum computation |
References:
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