variational quantum sensing
Variational probe and readout design
I model dipolar-interacting spin systems in PennyLane and JAX and use CMA-ES to optimize probe-preparation and readout circuits. For structured single-parameter phase estimation, I compare sequential and joint optimization using the same finite-depth encoder and shared two-angle product readout. Quantum and classical Fisher information distinguish the information in the probe from the information extracted by the measurement.
For joint magnetic-field and gradient estimation on dipolar spin chains, I optimize the determinant of the classical Fisher-information matrix. In this model, a GHZ probe has a rank-one quantum Fisher-information matrix and cannot identify both parameters independently. At five spins and three circuit layers, variational performance reaches 92% of the best-found quantum Fisher-information determinant benchmark and 4.2 times the standard-quantum-limit determinant.
Two training protocols
Sequential: select the probe using a fixed Ramsey readout, then freeze the probe and optimize the readout.
Joint: optimize probe-preparation and readout parameters together.