Learn about the fundamental concepts of quantum measurements in this 46-minute lecture covering the interface between quantum and classical information. Explore various mathematical descriptions of measurements, including matrix representations and channel formulations. Delve into key topics like partial measurements, Naimark's theorem with its proof, and non-destructive measurement techniques. Master quantum state discrimination for both pairs and multiple states, and understand quantum state tomography with specific focus on qubit systems. Written companion content is available through IBM Quantum Learning, making this part of a comprehensive quantum information and computation series perfect for those seeking to understand how classical information is extracted from quantum systems and how measurements affect quantum states.
General Measurements in Quantum Information and Computation - Lesson 11
Overview
Syllabus
— Introduction
— Overview
— Descriptions of measurements
— Measurements as matrices
— Examples
— Measurements as channels
— Partial measurements
— Naimark's theorem
— Proof of Naimark's theorem
— Non-destructive measurements
— State discrimination & tomography
— Discriminating pairs of states
— Discriminating 3 or more states
— Quantum state tomography
— Qubit tomography
— Conclusion
Taught by
Qiskit
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