• News: In Oct 2007 we started the facebook group: Quantum Information Scientists of the World Unite --- group is open to QIP people and has an increasing member base.

The purpose of this page is to provide a list of free online resources related to the concepts of quantum information theory and quantum computing. While this list will never be comprehensive, I have gathered those resources which I have read and which have been, or continue to be, beneficial to my own work in this exciting field. I should mention that this page will be updated and appended in due course.

• This page is currently under construction. If you think something should be added, please let me know.

• List of Open Problems in Quantum Information Theory

Introductions

• An Introduction to Quantum Complexity Theory, by Richard Cleve.

• The temple of quantum computing, by Riley Perry (free online quantum computing book).

• Quantum Computation, by Dorit Aharonov.

• From Cbits to Qbits, by N. David Mermin.

• Getting started in Complexity Theory

some math background

• Probability theory: the logic of science, by E. T. Jaynes.

• Elements of Abstract and Linear Algebra, by Edwin H. Connell.

• (great book!) Linear mathematics in infinite dimensions, by U. H. Gerlach.

• Introduction to matrix groups

• Kac, Victor G. et al. Course notes for MIT 18.745: Introduction to Lie Algebras

• Elementary introduction to Lie groups, Lie algebras, and their representations

• Introductions to Category Theory

• The matrix cookbook

Quantum mechanics background

``I would like to make a confession which may seem immoral: I do not believe in Hilbert space quantum mechanics anymore.'' (In a letter J. von Neumann wrote to G.D. Birkhoff on 13 November 1935 --- 3 years after designing Hilbert space quantum mechanics)

• Quantum Mechanics of Atoms and Molecules

Courses

• Theory of Quantum Information, John Watrous.

• Introduction to Quantum Information Processing, by Michele Mosca, Richard Cleve and Raymond Laflamme.

• N. David Mermin recently wrote a book, Quantum Computer Science , based on his lecture notes here.

• Quantum Information Science, Course Homepage, by Isaac Chuang & Peter Shor, Spring, 2006.

• Seminar in Information Theory, by Peter Shor.

• Quantum Computation and Quantum Information Theory Course, by the Physics Department and Computer Science Department, Carnegie Mellon University (Quantum Information at CMU) and the Department of Physics and Astronomy, University of Pittsburgh.

• Introduction to Quantum Computation course 2.111 at MIT, by Seth Lloyd.

• Quantum Computation Course at Caltech, by John Preskill.

• Quantum Computation course at Berkeley, by Umesh Vazirani.

• Quantum information processing, by B. Tsirelson.

• Quantum computing lectures, by Michael Nielsen.

Online videos

• David Deutsch's Series of lectures designed as an introduction to the quantum theory of computation.

Links to some quantum computing groups

• Oxford Center for Quantum Computation, UK. (www.qubit.org)
• Oxford Foundations of Computer Science Research Group, UK.
• Oxford Mathematical Physics Group, UK.
• MIT Quantum Information Science, USA.
• Institute for Quantum Computation, Canada.
• University of Leeds Quantum Information group, UK.
• The Cambridge Center for Quantum Computation, UK.

Computer Science

• List of important publications in computer science

• One Complexity Theorist's View of Quantum Computing, by Lance Fortnow.

Simulators

• List of quantum computing simulators

Quantum Computing Companies

• D-Wave Systems Inc. Canada
• IBM Research at Yorktown
• NEC Japan
• Hitachi UK
• RIKEN Japan

Quantum Computing Journals

• Quantum Information & Computation

• Quantum Information Processing

• Virtual Journal of Quantum Information

QC blogs

• Shtetl-Optimized, the blog of Scott Aaronson.

• Michael Nielsen's blog.

• The Quantum Pontiff, the blog of Dave Bacon.

Under construction!

Models of quantum computation

Feynman's autonomous quantum computer

Quantum Turing Machines

Quantum Turing Machines represent the first universal model of quantum computation which paved the way to the highly studied gate model.

• Deutsch, D. (1985). Quantum Theory, the Church-Turing Principle, and the Universal Quantum Computer, Proc. Roy. Soc. Lond. A400: 97–117.

The Gate model or Circuit Model of Quantum computation

Adiabatic Model of Quantum Computation

• Adiabatic Quantum Computation, 2004 PhD thesis, by Jérémie Roland.

Quantum computation by quantum walks

• Quantum random walks - an introductory overview, by Julia Kempe.

quantum computation by anyons

• Introduction to the subject of topological quantum computation, by John Preskill.

• Kitaev's talk on the Honeycomb lattice (with audio/webcam).

• Talk by Pachos on anyons (with audio/webcam).

Measurement based models (one-way, cluster state, teleportation based, etc.)

Quantum Algorithms

• Overview of many known quantum algorithms by Mosca online here

Physical Implementations

Superconducting electronic qubits

NMR quantum information processing

My pages on this domain (also listed on the bottom tab above)

• Home
• Links
• Category Theory
• Algebras and Groups
• Introduction to Quantum Computing