Quantum computing references

Quantum

Some articles and pointers if you wish to dig deeper into quantum topology and quantum computing.

Keywords

Quantum Computing, Quantum Field Theory

Software

Liquid superseded by Q# based on C# while Liquid is a F# framework. There is strong focus on quantum chemistry and it shows in the examples and documentation.
QuTip (Python) is probably the most complete module. It has lots of examples to simulate standard quantum mechanics.
A long list of QC simulators including all sorts of esoteric languages.
SymPy quantum is a namespace in Python’s symbolic math and has plenty of goodies. Including implementations of Shor’s algorithm and more.
QISKIT is a promising new addition on the scene with the support of IBM research.

Condensed matter field theory by A.Atlan and B.Simons is a wonderful book on condensed and solid state physics.
Knots and physics by L.Kauffman is full of fun and deep ideas. Highly recommended.
Quantum computing, a gentle introduction by E.Rieffel and W.Polak is sometimes not so gentle at all but a great book nonetheless.
An introduction to quantum computing by P.Kaye et al. is more robust than the gentle intro above and contains all the standard topics of (non topological) quantum computing.
Mathematics of quantum computation by Brylinski and Chen demands solid shoes to climb the math mountains. Not for beginners.
Problems and solutions in quantum computing by W.Steeb and Y.Hardy is so much fun. If you need to boost your confidence (in QM computations), this is the book you need.
Topological Aspects of Quantum Entanglement by L.Kauffman is (like all of his articles) plenty of delights and far-reaching ideas. The man can convey deep stuff and keep it fun.
Topology and condensed matter physics by S.Mohan et al. is full of really well-written articles on how topology is used to approach condensed matter. Anyons in particular.
Quantum field theory and the Jones polynomial by E.Witten is the origin of QFT and knots. Poetry of the (math) gods.

From Path Integrals to Fractional Quantum Statistics by J.Horowitz explains the origins of anyons via particles paths (i.e. path integrals).
An anyon primer by S.Rao is an intro to anyon physics for undergraduates (which means it’s supposedly easy to follow).
Anyons and the quantum Hall effect — A pedagogical review by A.Stern is another slow-motion article on anyons for educational purposes.
Applications of Chern-Simons theory in knot theory by L.Tsui is concise and a lovely little thing to enjoy.
Aspects of Chern-Simons Theory by G.Dunne could the reference on standard Chern-Simons theory.
Basic concepts in quantum computation by AEkert et al. is just what the title says.
Computing with quantum knots by G.Collins is an article from Scientific American and gives a layman’s overview of what TQFT is all about.
A short introduction to Fibonacci anyons by S.Trebst et al. discussed well the fusion channels and anyonic interactions.
Non-Abelian Anyons and Topological Quantum Computation by C.Nayak et al. is a solid overview of what is happening at Station Q at Microsoft. Well, probably a lot more than that.
Quantum computing…with a twist by S.Simon is much like the Scientific American article above an excellent and easy to understand overview of what TQFT is about.
Quantum random access memory by Giovanetti et al. highlights the difficulties of transposing classical concepts like RAM to the quantum realm.

QuTiP lectures
Quantum Computation and Cryptography contains plenty of slides from a Romanian workshop and is perfect to get into the subject.
Lecture notes on quantum computing by J.Watrous collects PDF’s of a university course on quantum computing.
jsQubit is an open source JavaScript implentation of qubits.