Quantum Computing

Work through the problems in PDF file attached below. Note that due date in the file is irrelevant, actual due date is November 5th November 12th.

Please, do this assignment using LaTeX system, submit both, source .tex-file and resulting .pdf-file. If you are not aquainted with LaTeX I advise to start with online service for it: http://overleaf.com If you push “create new paper” button there, you will get basic template for your submission. I suggest switching from “Rich Text” to “Source” for better understanding of what is going on. Notation for particular elements of formulas can be googled (applies for Source mode, not Rich Text one). Dirac's brackets presented with \langle, \rangle. Other symbols can be guessed here via drawing.