Optimal time schedule for adiabatic evolution

0353425 - ÚJF 2011 RIV US eng J - Journal Article
Avron, J.E. - Fraas, Martin - Graf, G.M. - Grech, P.
Optimal time schedule for adiabatic evolution.
Physical Review. A. Roč. 82, č. 4 (2010), 040304/1-040304/4. ISSN 1050-2947
Institutional research plan: CEZ:AV0Z10480505
Keywords : QUANTUM COMPUTATION
Subject RIV: BA - General Mathematics
Impact factor: 2.861, year: 2010

We show that, provided dephasing is taken into account, there is a unique timetable which maximizes the fidelity with a target state in adiabatic evolutions. The optimum has constant tunneling rate along the path. Application to quantum search algorithms recovers the Grover result for appropriate scaling of the dephasing with the size of the database. Moreover, the Grover bound imposes constraints on the dephasing rates of systems coupled to a universal Markovian bath.
Permanent Link: http://hdl.handle.net/11104/0192677