Lectures

• May 5--14: (Ashwin Nayak)   
  Quantum state, density matrix, purification, impossibility of superluminal communication, Schmidt decomposition, local transitions. Impossibility of bit commitment. Generalized measurement--unitary picture and POVM formalism. Quantum operations--the unitary picture, Kraus representation.

• May 16--May 30: (Debbie Leung)   
  TCP maps and Jamiolkowski-Choi representation of quantum operations.

  Error-correction--classical repetition code, Shor 9-qubit code, classical linear codes. CSS codes. Quantum error-correction criterion. Stabilizer formalism, stabilizer codes. Encoded operations and measurements, transversality, fault tolerant computation, threshold theorem.

  [ TCP maps and QECC May 21 slides ]
  [ QECC May 23 slides ]
  [ QECC and FT May 23 slides ]
  [ FT May 26 slides ]
  [ FT supplement ]
  [ FT May 28 slides ]
  

• June 2--11:
  No classes; make up classes will be arranged.
  Summer school on quantum information, Montreal, QC, June 9--13.

• June 16--23: (Ashwin Nayak)
  Distinguishability of quantum states, trace distance, fidelity, their properties. Quantum coin flipping.

• June 25--11: (Debbie Leung)
  Von Neumann Entropy, and its properties. Compression. Quantum channels, resources and capacities.

  [ Quantum information theory slides ]

• July 14--23: (Ashwin Nayak)
  Quantum key distribution, assumptions, security guarantee. Shor-Preskill proof of security for BB'84. Key rate. As time permits, applications of information theory: Holevo theorem, in-probability bound. Random access codes. Lower bound for the length of smooth codes.

• July 28, 30:
  Term paper presentations.