Lectures & Tutorials
Intro to Quantum Measurements, Part I: Ideal Measurements
Series: Quantum Measurements
The first part of a measurement tutorial series (ideal, noisy, mitigated), motivated by readout error in a 50-qubit experiment. It formalizes the quantum-to-classical 'meter' with measurement operators and the Born rule, works the single-qubit case, and then treats the statistics of finite shots: unbiased estimators, Chernoff-Hoeffding bounds, Bayesian and likelihood estimates, and bootstrapping. It closes with how basis rotations map other measurements onto the computational basis.
- Measurement operators, POVMs vs. projective measurements, and the quantum-to-classical rule
- Single-qubit measurement as a Bernoulli trial, with outcome probabilities from <Z>
- Error bars from data: concentration bounds, Bayesian updates with a Beta distribution, and bootstrapping
- Changing measurement basis by conjugating measurement operators with a unitary
Summary and key points drafted by a language model from the slides, not yet reviewed by me. The slides are the source.
Cite
@misc{minev2023quantummeasurements,
author = {Zlatko K. Minev},
title = {{Intro to Quantum Measurements, Part I: Ideal Measurements}},
howpublished = {Lecture},
year = {2023},
url = {https://zlatko-minev.github.io/zlatko-minev-quantum-repository/items/2023-intro-to-quantum-measurements-part-i-ideal-measurements/},
note = {Slides}
}Reuse
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