Quantum control without quantum states
File(s)
Accepted version
Author(s)
Orozco Ruiz, Modesto
Le, Nguyen H
Mintert, Florian
Type
Journal Article
Abstract
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.
Date Acceptance
2024-12-02
Citation
PRX Quantum
ISSN
2691-3399
Publisher
American Physical Society
Journal / Book Title
PRX Quantum
Copyright Statement
Subject to copyright. This paper is embargoed until publication. Once published the Version of Record (VoR) will be available on immediate open access.
License URL
Identifier
https://journals.aps.org/prxquantum/accepted/15074K57E1317c0198e87cb03ad749a08e4b0c061
Publication Status
Accepted
Rights Embargo Date
10000-01-01