General measurements | Understanding Quantum Information & Computation | Lesson 11

Описание: This is part of the Understanding Quantum Information & Computation series. Watch the full playlist here:    • Understanding Quantum Information & Comput...  

Measurements provide an interface between quantum and classical information; when a system is measured, classical information about its state is extracted (and the state is generally changed in the process).

This lesson describes measurements in full generality, including different ways that general measurements can be described in mathematical terms. It also describes quantum state discrimination and quantum state tomography, which are important notions connected with measurements.

Find the written content for this lesson on IBM Quantum Learning: https://learning.quantum.ibm.com/cour...

0:00 — Introduction
1:19 — Overview
2:35 — Descriptions of measurements
5:02 — Measurements as matrices
10:18 — Examples
13:59 — Measurements as channels
17:24 — Partial measurements
22:06 — Naimark's theorem
23:07 — Proof of Naimark's theorem
28:07 — Non-destructive measurements
31:08 — State discrimination & tomography
33:55 — Discriminating pairs of states
38:38 — Discriminating 3 or more states
40:50 — Quantum state tomography
42:13 — Qubit tomography
45:19 — Conclusion

Link to the full Understanding Quantum Information & Computation Series:    • Understanding Quantum Information & Comput...  

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