In this section
@article{Orozco:2024,
author = {Orozco, Ruiz M and Le, NH and Mintert, F},
journal = {PRX Quantum},
title = {Quantum control without quantum states},
url = {https://journals.aps.org/prxquantum/accepted/15074K57E1317c0198e87cb03ad749a08e4b0c061},
year = {2024}
}
TY - JOUR
AB - We show that combining ideas from the fields of quantum invariants and of optimal control can be used to design optimal quantum control solutions without explicit reference to quantum states. We describe how control problems for state preparation and the realization of propagators can be formulated in this approach, and we provide explicit control solutions for a spin chain with an extended Ising Hamiltonian. The states considered for state-preparation protocols include eigenstates of Hamiltonians with more than pairwise interactions, and these Hamiltonians are also used for the definition of target propagators. The cost of describing suitable time-evolving operators grows only quadratically with the system size, allowing us to construct explicit control solutions for up to 50 spins. While sub-exponential scaling is obtained only in special cases, we provide several examples that demonstrate favourable scaling beyond the extended Ising model.
AU - Orozco,Ruiz M
AU - Le,NH
AU - Mintert,F
PY - 2024///
SN - 2691-3399
TI - Quantum control without quantum states
T2 - PRX Quantum
UR - https://journals.aps.org/prxquantum/accepted/15074K57E1317c0198e87cb03ad749a08e4b0c061
ER -