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This is an advanced graduate course on quantum computation and quantum information, for which prior knowledge of quantum mechanics is required.
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English
English [CC]
FREE
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Description
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 content
- 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
Instructor
Massachusetts Institute of Technology
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