Optimal noisy sequential multiparameter quantum sensing

arXiv:2609.30398 · quant-ph, math-ph, math.MP · Submitted 2026-09-24 · Read on arXiv

quant-ph, math-ph, math.MP

Submitted: 2026-09-24

Updated: 2026-09-24

Terminology

• Calibration — 57× in this paper · explained in 7 episodes
• Heisenberg Scaling — 41× in this paper · explained in 4 episodes
• Fisher Information — 38× in this paper · explained in 3 episodes
• Trace — 7× in this paper · explained in 2 episodes
• Adam — 3× in this paper · explained in 2 episodes
• Accuracy — 2× in this paper · explained in 1 episode
• Additivity — 2× in this paper · explained in 1 episode
• Admissibility — 2× in this paper · explained in 2 episodes
• Benchmark — 2× in this paper · explained in 2 episodes
• Calibration Failure — 2× in this paper · explained in 2 episodes
• Entanglement — 2× in this paper · explained in 4 episodes
• Semidefinite Program (SDP) — 2× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Lindblad master equation — 1× in this paper · explained in 2 episodes
• No-Go Theorem — 1× in this paper · explained in 2 episodes
• Objective Function — 1× in this paper · explained in 2 episodes
• Quantum Fisher Information (QFI) — 1× in this paper · explained in 13 episodes
• Quantum Physics — 1× in this paper · explained in 10 episodes

Sources

• Saturating the Quantum Cram'er--Rao Bound in Prioritised Parameter Estimation
• Beating three-parameter precision trade-offs with entangling collective measurements
• Heisenberg limited metrology using Quantum Error-Correction Codes
• Generalized uncertainty relations and efficient measurements in quantum systems
• The Most Informative Cram'er--Rao Bound for Quantum Two-Parameter Estimation with Pure State Probes
• QestOptPOVM: An iterative algorithm to find optimal measurements for quantum parameter estimation
• The gap persistence theorem for quantum multiparameter estimation
• Higher-Order Quantum Operations
• Fault-Tolerant Heisenberg-Limited Quantum Sensing
• Unified and computable approach to optimal strategies for multiparameter estimation
• Optimal Strategies for Multi-parameter Quantum Metrology
• Elementary gates for ternary quantum logic circuit
• Decomposition of multi-qutrit gates generated by Weyl-Heisenberg strings

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