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This course is an introduction to quantum computational complexity theory. The objective of this course is to bring students to the research frontier. This course also emphasizes the study of the fundamental capabilities and limitations of quantum computers. Topics include complexity classes, lower bounds and communication complexity. Along with these it also teaches proofs, advice, and interactive proof systems in the quantum world.
Assessment
This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer need to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.
Certification
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Course Credit: MIT
Course Curriculum
| Module 01 | |||
| Quantum basics | 00:20:00 | ||
| More quantum basics | 00:20:00 | ||
| Quantum circuits | 00:20:00 | ||
| BQP and classical friends | 00:10:00 | ||
| Quantum algorithms Deutsch-Jozsa | 00:15:00 | ||
| Quantum algorithms Simon’s algorithm | 00:15:00 | ||
| Shor’s algorithm and the hidden subgroup problem | 00:15:00 | ||
| Hidden subgroup problem and Grover’s algorithm | 00:20:00 | ||
| Grover’s algorithm and BBBV | 00:20:00 | ||
| Quantum query complexity lower bounds | 00:10:00 | ||
| More quantum query complexity | 00:15:00 | ||
| Query complexity and the collision problem | 00:20:00 | ||
| Module 02 | |||
| The collision problem | 00:20:00 | ||
| BQP vs. PH and QMA | 00:15:00 | ||
| QMA | 00:15:00 | ||
| QMA and variants | 00:20:00 | ||
| QIP | 00:20:00 | ||
| PostBQP | 00:20:00 | ||
| Closed timelike curves | 00:10:00 | ||
| BQP qpoly | 00:15:00 | ||
| Quantum communication complexity | 00:20:00 | ||
| More quantum communication complexity | 00:20:00 | ||
| Classical simulation | 00:20:00 | ||
| Grab bag | 00:15:00 | ||
| Assessment | |||
| Submit Your Assignment | 00:00:00 | ||
| Certification | 00:00:00 | ||
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