TY - JOUR
T1 - Time-optimal quantum evolution
AU - Carlini, Alberto
AU - Hosoya, Akio
AU - Koike, Tatsuhiko
AU - Okudaira, Yosuke
N1 - Copyright:
Copyright 2015 Elsevier B.V., All rights reserved.
PY - 2006
Y1 - 2006
N2 - We present a general framework for finding the time-optimal evolution and the optimal Hamiltonian for a quantum system with a given set of initial and final states. Our formulation is based on the variational principle and is analogous to that for the brachistochrone in classical mechanics. We reduce the problem to a formal equation for the Hamiltonian which depends on certain constraint functions specifying the range of available Hamiltonians. For some simple examples of the constraints, we explicitly find the optimal solutions.
AB - We present a general framework for finding the time-optimal evolution and the optimal Hamiltonian for a quantum system with a given set of initial and final states. Our formulation is based on the variational principle and is analogous to that for the brachistochrone in classical mechanics. We reduce the problem to a formal equation for the Hamiltonian which depends on certain constraint functions specifying the range of available Hamiltonians. For some simple examples of the constraints, we explicitly find the optimal solutions.
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U2 - 10.1103/PhysRevLett.96.060503
DO - 10.1103/PhysRevLett.96.060503
M3 - Article
AN - SCOPUS:33144476009
SN - 0031-9007
VL - 96
JO - Physical Review Letters
JF - Physical Review Letters
IS - 6
M1 - 060503
ER -