$\require{cancel} \newcommand{\Ket}[1]{\left|{#1}\right\rangle} \newcommand{\Bra}[1]{\left\langle{#1}\right|} \newcommand{\Braket}[1]{\left\langle{#1}\right\rangle} \newcommand{\Rsr}[1]{\frac{1}{\sqrt{#1}}} \newcommand{\RSR}[1]{1/\sqrt{#1}} \newcommand{\Verti}{\rvert} \newcommand{\HAT}[1]{\hat{\,#1~}} \DeclareMathOperator{\Tr}{Tr}$

Reference Links

QC Myths Debunk 16:10

1. Faster/better because QC can use an exponential number of states.
2. Faster/better because bits can be 0 and 1 at the same time.
3. Work by computing all the answers in parallel.

SMBC Comics

Theories

Rotations on the Bloch Sphere
Ian Glendinning, May 20, 2010
http://www.vcpc.univie.ac.at/~ian/hotlist/qc/talks/bloch-sphere-rotations.pdf

Measurement on density operator
https://physics.stackexchange.com/questions/322712/measurement-on-density-operator

How does a state vector be projected onto an eigenspace after measurement
https://physics.stackexchange.com/questions/15771/how-does-a-state-vector-be-projected-onto-an-eigenspace-after-measurement

Mixed states and pure states
Steven J. van Enk, April 9, 2009
http://pages.uoregon.edu/svanenk/solutions/Mixed_states.pdf

CNOT across qubits
http://www-math.mit.edu/~shor/18.435/oldlectures/lecture7.html

ZX Calculus

A graphical approach to measurement-based quantum computing
Ross Duncan, March 20, 2018
https://arxiv.org/pdf/1203.6242.pdf

Categorifying the ZX-calculus
Daniel Cicala, University of California, Riverside Department of Mathematics
https://arxiv.org/pdf/1704.07034.pdf
_{https://www.semanticscholar.org/paper/Categorifying-the-zx-calculus-Cicala/343dfed8b6b8d5753c254b8276b421035ae0bcbe}

The ZX-calculus is complete for stabilizer quantum mechanics
Miriam Backens, Published 17 September 2014
http://iopscience.iop.org/article/10.1088/1367-2630/16/9/093021
_{http://iopscience.iop.org/article/10.1088/1367-2630/16/9/093021/pdf}

Superdense Coding with GHZ and Quantum Key Distribution with W in the ZX-calculus
Anne Hillebrand, Oxford University Computing Laboratory Oxford, UK
https://arxiv.org/pdf/1210.0650.pdf
_{https://www.semanticscholar.org/paper/Superdense-Coding-with-GHZ-and-Quantum-Key-with-W-Hillebrand/ef995a7c8a5abf131134cd24a858aabb1ac47f24}

The ZX calculus is a language for surface code lattice surgery
Niel de Beaudrap, Department of Computer Science, University of Oxford
Dominic Horsman, Department of Physics, Durham University
27 April 2017
https://arxiv.org/pdf/1704.08670.pdf

Quantum Computing Labs

Overview and Comparison of Gate Level Quantum Software Platforms
Ryan LaRose, Department of Computational Mathematics, Science, and Engineering, Michigan State University.
July 9, 2018
https://arxiv.org/pdf/1807.02500.pdf

IBM Q Experience User Guide
https://quantumexperience.ng.bluemix.net/qx/tutorial?sectionId=full-user-guide&page=introduction

Microsoft Q#
https://docs.microsoft.com/en-us/quantum/?view=qsharp-preview

Technical

Open Quantum Assembly Language
Andrew W. Cross, Lev S. Bishop, John A. Smolin, Jay M. Gambetta, January 10th, 2017
https://arxiv.org/pdf/1707.03429.pdf

Python errorbar()
https://matplotlib.org/1.2.1/examples/pylab_examples/errorbar_demo.html

Applying controlled Hadamard gate
https://physics.stackexchange.com/questions/261974/applying-controlled-hadamard-gate

Tools

Quirk: Quantum Circuit Simulator
https://algassert.com/quirk

Online LaTeX Equation Editor https://www.codecogs.com/eqnedit.php

Quantum Mechanics

Postulates of Quantum Mechanics
A Brief Review of Elementary Quantum Chemistry
C. David Sherrill, School of Chemistry and Biochemistry, Georgia Institute of Technology
Last Revised on 27 January 2001
http://vergil.chemistry.gatech.edu/notes/quantrev/node20.html

Table 1: Physical observables and their corresponding quantum operators (single particle)