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Created by:
Last updated:
September 29, 2022
Duration:
Unlimited Duration
FREE
This course includes:
Unlimited Duration
Badge on Completion
Certificate of completion
Unlimited Duration
Description
This is an advanced graduate course on quantum computation and quantum information, for which prior knowledge of quantum mechanics is required
Topics include quantum computation, advanced quantum error correction codes, fault tolerance, quantum algorithms beyond factoring, properties of quantum entanglement, and quantum protocols and communication complexity.
Course Curriculum
- Quantum Operations; Operator Sum Representation; System-Environment Model Unlimited
- Quantum Error Correction – Criteria and Examples Unlimited
- Calderbank Shor Steane Codes Unlimited
- Stabilizers; Stabilizer Quantum Codes Unlimited
- Topological Quantum Codes; Kitaev’s Anyon Model Unlimited
- Stabilizers II; Computing on Quantum Codes Unlimited
- Concatenated Codes; The Threshold Theorem Unlimited
- Cluster State Quantum Computation Unlimited
- Measurement and Teleportation Based Quantum Computation Unlimited
- Adiabatic Quantum Computation Unlimited
- Quantum Algorithms on Graphs; Quantum Random Walks Unlimited
- Quantum Algorithms: The Abelian Hidden Subgroup Problem; QFT Over Sn Unlimited
- The Nonabelian HSP; Hidden Dihedral Group; Positive and Negative Results Unlimited
- Channels I: Quantum Data Compression; Entanglement Concentration; Typical Subspaces Unlimited
- Channels II: Holevo’s Theorem; HSW Theorem; Entanglement Assisted Channel Capacity Unlimited
- Channels III: Quantum-Quantum Channels, Mother/Father Protocol; Distillable Entanglement Unlimited
- Entanglement as a Physical Resource Unlimited
- Quantum Protocols – Quantum Communication Complexity; Distributed Algorithms Unlimited
- Quantum Games Unlimited
- Quantum Cryptography Unlimited
About the instructor
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Massachusetts Institute of Technology
