This lesson introduces the basics of quantum information for single systems, including the description of quantum states as vectors with complex number entries, measurements that allow classical information to be extracted from quantum states, and operations on quantum states that are described by unitary matrices.
Additional materials for this course, including written text, Qiskit implementations, slides in pdf format, and a badging exam, can be found on IBM Quantum Learning by following this link: https://learning.quantum.ibm.com/course/basics-of-quantum-information
Timecodes for lesson sections:
0:00 - Introduction
2:06 - Lesson overview
4:01 - Descriptions of quantum information
5:52 - Classical information
10:52 - Dirac notation (first part)
15:23 - Measuring probabilistic states
18:50 - Deterministic operations
25:14 - Dirac notation (second part)
29:03 - Deterministic operations (continued)
30:55 - Probabilistic operations
34:50 - Composing operations
39:21 - Quantum information
47:43 - Dirac notation (third part)
50:48 - Measuring quantum states
55:57 - Unitary operations
59:21 - Qubit unitary operations
1:06:40 - Composing unitary operations
1:09:33 - Conclusion
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