PIRSA:06120042

Reliable Quantum State Estimation from Quantum Scoring Rules

Blume-Kohout, R. (2006). Reliable Quantum State Estimation from Quantum Scoring Rules. Perimeter Institute. https://pirsa.org/06120042

Blume-Kohout, Robin. Reliable Quantum State Estimation from Quantum Scoring Rules. Perimeter Institute, Dec. 08, 2006, https://pirsa.org/06120042 

          @misc{ pirsa_PIRSA:06120042,
            doi = {10.48660/06120042},
            url = {https://pirsa.org/06120042},
            author = {Blume-Kohout, Robin},
            keywords = {Quantum Information},
            language = {en},
            title = {Reliable Quantum State Estimation from Quantum Scoring Rules},
            publisher = {Perimeter Institute},
            year = {2006},
            month = {dec},
            note = {PIRSA:06120042 see, \url{https://pirsa.org}}
          }

Robin Blume-Kohout Sandia National Laboratories

DOI 10.48660/06120042
Collection
Talk Type Conference
Subject

Abstract

Inferring a quantum system\'s state, from repeated measurements, is critical for verifying theories and designing quantum hardware. It\'s also surprisingly easy to do wrong, as illustrated by maximum likelihood estimation (MLE), the current state of the art. I\'ll explain why MLE yields unreliable and rank-deficient estimates, why you shouldn\'t be a quantum frequentist, and why we need a different approach. I\'ll show how operational divergences -- well-motivated metrics designed to evaluate estimates -- follow from quantum strictly proper scoring rules. This motivates Bayesian Mean Estimation (BME), and I\'ll show how it fixes most of the problems with MLE. I\'ll conclude with a couple of speculations about the future of quantum state and process estimatio