On Quantum Statistical Inference, II

Abstract

Interest in problems of statistical inference connected to measurements of quantum systems has recently increased substantially, in step with dramatic new developments in experimental techniques for studying small quantum systems. Furthermore, theoretical developments in the theory of quantum measurements have brought the basic mathematical framework for the probability calculations much closer to that of classical probability theory. The present paper reviews this field and proposes and interrelates a number of new concepts for an extension of classical statistical inference to the quantum context.

This is the final version of quant-ph/0307189: half the length, some different material. Has appeared in JRSS B 65 (2003), with discussion

References in corpus (5)

• Tomography of Quantum Operations
• Estimating the spectrum of a density operator
• Quantum stochastic approach to the description of quantum measurements
• Teleportation into Quantum Statistics
• On Quantum Statistical Inference, I

Cited by in corpus (2)

• On Asymptotic Quantum Statistical Inference
• Better Bell inequalities (passion at a distance)