The final state of a quantum jump due to a filtering measurement is obtained by parallel transporting the initial state along a geodesic. It is shown that a topological phase arises in any cyclic series of measurements. Unitary time evolution is not important for it to appear. The Aharonov-Anandan phase is derived as a limiting case.
ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)