Coupling strength estimation for spin chains despite restricted access
Daniel Burgarth, Koji Maruyama, Franco Nori
TL;DR
This paper presents a method to estimate all coupling strengths in a spin chain by measuring only one end spin, addressing the challenge of limited access in quantum control systems.
Contribution
It introduces an indirect estimation technique for spin chain couplings using measurements at a single accessible site, advancing quantum system identification methods.
Findings
Effective estimation of all couplings from a single measurement point
Analysis of the efficiency of the inverse problem approach
Numerical demonstration of the proposed method
Abstract
Quantum control requires full knowledge of the system many-body Hamiltonian. In many cases this information is not directly available due to restricted access to the system. Here we show how to indirectly estimate all the coupling strengths in a spin chain by measuring one spin at the end of the chain. We also discuss the efficiency of this "quantum inverse problem" and give a numerical example.
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