Isoholonomic Problem and Holonomic Quantum Computation

Details Isoholonomic Problem and Holonomic Quantum Computation Isoholonomic Problem and Holonomic Quantum Computation

2005-05-06

arxiv.org/abs/quant-ph/0505033v1

Physics

Quantum Physics

7 pages, Proceedings of International Conference on Topology in Ordered Phases organized by Hokkaido University in March 2005

Scientific paper

Geometric phases accompanying adiabatic processes in quantum systems can be
utilized as unitary gates for quantum computation. Optimization of control of
the adiabatic process naturally leads to the isoholonomic problem. The
isoholonomic problem in a homogeneous fiber bundle is formulated and solved
completely.

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