CS294-2: Quantum Computation

Spring 2007


Instructor Umesh Vazirani
Office: 671 Soda, 642-0572
Lectures: MW 2:30-4 (410 HMMB)
Office Hours: M 1-2 (671 Soda)

Announcements


Homework

  • Homework 1 [pdf,ps] (1/31)
  • Homework 2 [pdf,ps] (2/12)
  • Homework 3 [pdf,ps] (3/22)

    Lecture notes



    Topic Notes (modified)
    1 1/17
    Intro, Axioms, Bell Inequalities.                                           
    [pdf,ps] (1/19)
    2 1/22
    Hilbert Space, Tensor product, Quantum gates, Bell states. Inequalities.                                           
    [pdf,ps] (1/22)
    3 1/24
    Hilbert Space, Superdense Coding, Teleportation. Inequalities.                                           
    [pdf,ps] (1/24)
    4 1/29
    Reversibility, Quantum Computers are Digital .                                           
    [pdf,ps] (1/29)
    5 1/31
    Quantum Complexity Theory .                                           
    [pdf,ps,tif]
    6 2/5
    Quantum Computation and Extended Church-Turing Thesis .                                           
    [pdf,ps]
    7 2/7
    Simon's Agorithm + QFT .                                           
    [pdf,ps]
    8 2/12
    Quantum Factoring .                                           
    [pdf,ps]
    9 2/14
    Abelian HSP + Discrete Log .                                           
    [pdf,ps]
    10 2/21
    Lower Bounds for Unstructured Search, Quantum Zeno Effect. .                                           
    [pdf,ps]
    11 2/28
    Quadratic speedup for Unstructured Search - Grover's Algorithm. .                                           
    [pdf,ps]
    12 3/5
    Phase Estimation .                                           
    [pdf,ps]
    13 3/7
    Quantum Information .                                           
    [pdf,ps]
    14 3/12
    Bipartite States, Schmidt Decomposition, Bit Commitment .                                           
    [pdf,ps]
    15 3/14
    Quantum Lower Bounds - Guest Lecture by Robert Spalek .                                           
    [pdf,ps]
    16 3/19
    Search by Quantum Walk - Guest Lecture by Ashwin Nayak .                                           
    [pdf,ps]
    17 3/21
    Holevo's Theorem, Random Access Codes. .                                           
    [pdf,ps]
    18 4/2
    Applications of Random Access Codes. .                                           
    [pdf,ps]
    19 4/4
    Adiabatic Quantum Computation .                                           
    [pdf,ps]
    20 4/9
    QMA Completeness .                                           
    [pdf,ps]
    21 4/11
    Quantum Error Correction .                                           
    [pdf,ps]
    22 4/16
    Stabilizer Formalism .                                           
    [pdf,ps]
    23 4/18
    Quantum Non-locality - guest lecture Jeremy Roland .                                           
    [pdf,ps]
    24 4/25
    Non-abelian HSP .                                           
    [pdf,ps]
    25 4/30
    Fault tolerance I - guest lecture Ben Reichardt .                                           
    [scanned, pdf,ps]
    26 5/2
    Fault tolerance II - guest lecture Ben Reichardt .                                           
    [scanned,pdf,ps]
    27 5/7
    Universality of Adiabatic QC + Low entanglement .                                           
    [pdf,ps]

  • Some suggestions for projects [pdf]
    Scribe Schedule [pdf]
    Style file [cs294.sty]
    [ Latex macro package for typesetting quantum circuits ]

  • Useful Links:



    Recommended reading


    On quantum computation

    Mathematical background

    On quantum mechanics in general