TY - JOUR
T1 - Time optimal quantum evolution of mixed states
AU - Carlini, Alberto
AU - Hosoya, Akio
AU - Koike, Tatsuhiko
AU - Okudaira, Yosuke
PY - 2008/2/1
Y1 - 2008/2/1
N2 - We present a general formalism based on the variational principle for finding the time-optimal quantum evolution of mixed states governed by a master equation, when the Hamiltonian and the Lindblad operators are subject to certain constraints. The problem may be reduced to solving first a fundamental equation, which can be written down once the constraints are specified, for the Hamiltonian and then solving the constraints and the master equation for the Lindblad and the density operators. As an application of our formalism, we study a simple one-qubit model, where the optimal Lindblad operators can be simulated by a tunable coupling with an ancillary qubit.
AB - We present a general formalism based on the variational principle for finding the time-optimal quantum evolution of mixed states governed by a master equation, when the Hamiltonian and the Lindblad operators are subject to certain constraints. The problem may be reduced to solving first a fundamental equation, which can be written down once the constraints are specified, for the Hamiltonian and then solving the constraints and the master equation for the Lindblad and the density operators. As an application of our formalism, we study a simple one-qubit model, where the optimal Lindblad operators can be simulated by a tunable coupling with an ancillary qubit.
UR - http://www.scopus.com/inward/record.url?scp=43049113534&partnerID=8YFLogxK
U2 - 10.1088/1751-8113/41/4/045303
DO - 10.1088/1751-8113/41/4/045303
M3 - Article
SN - 1751-8113
VL - 41
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 4
M1 - 045303
ER -