2 papers
quant-ph2004
Exact solutions of the isoholonomic problem and the optimal control problem in holonomic quantum computation
Shogo Tanimura, Mikio Nakahara, Daisuke Hayashi
The isoholonomic problem in a homogeneous bundle is formulated and solved exactly. The problem takes a form of a boundary value problem of a variational equation. The solution is a…
quant-ph2003
Exact Solutions of Holonomic Quantum Computation
Shogo Tanimura, Daisuke Hayashi, Mikio Nakahara
Holonomic quantum computation is analyzed from geometrical viewpoint. We develop an optimization scheme in which an arbitrary unitary gate is implemented with a small circle in a c…