Global controllability with a single local actuator

2008/01/31 by S. G. Schirmer, Sonia G. Schirmer, I. C. H. Pullen +3 · 3 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum chaos and dynamical systems #quant-ph

paper · pdf · doi:10.1103/physreva.78.062339

published as Phys. Rev. A 78, 062339 (2008) · 7 pages, 1 table, no figures

arxiv created 2008/06/06 · openalex publication_date 2008/12/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that we can achieve global density-operator controllability for most N-dimensional bilinear Hamiltonian control systems with general fixed couplings using a single, locally acting actuator that modulates one energy-level transition. Controllability depends upon the position of the actuator and relies on the absence of either decompositions into noninteracting subgroups or symmetries restricting the dynamics to a subgroup of SU(N). These results are applied to spin-chain systems and used to explicitly construct control sequences for a single binary-valued switch actuator.

Citations

• Complete controllability of finite-level quantum systems

Cited by

• Global control via quantum actuators
• Scalable quantum computation via local control of only two qubits
• Symmetry principles in quantum systems theory

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