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Lecture Notes for Quantum Computing

Lecture notes for CSE 599 Quantum Computing

• Introduction and Basics of Quantum Theory (updated 1/4/06)
• Dirac Notation and Basic Linear Algebra for Quantum Computing (updated 1/6/06)
• One qubit, Two qubit (updated 1/10/06)
• The No-Cloning Theorem, Classical Teleportation and Quantum Teleportation, Superdense Coding (updated 1/11/06)
• The Quantum Circuit Model and Universal Quantum Computation (updated 1/20/06)
• Reversible Classical Circuits and the Deutsch-Jozsa Algorithm (updated 1/20/06)
• The Recursive and Nonrecursive Bernstein-Vazirani Algorithmm (updated 1/23/06)
• Simon's Algorithm (updated 1/26/06)
• The Quantum Fourier Transform (updated 1/26/06)
• Quantum Phase Estimation and Arbitrary Size Quantum Fourier Transforms (updated 1/26/06)
• Shor's Algorithm (updated 1/30/06)
• Grover's Algorithm (updated 1/31/06)
• Mixed States and Open Quantum Systems (update 2/8/06)
• Quantum Entanglement and Bell's Theorem (updated updated 2/8/06)
• When Quantum Computers Fall Apart (updated 2/8/06)
• Introduction to Quantum Error Correction (updated 2/10/06)
• The Quantum Error Correcting Criteria (updated 2/13/06)
• Stabilizer Quantum Error Correcting Codes (updated 2/12/06)
• Fault-Tolerant Quantum Computation and the Threshold Theorem (updated 2/12/06)