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Quantum Computing - Lecture Notes

Quantum Computing - Lecture NotesMark Oskin Department of Computer Science and EngineeringUniversity of WashingtonAbstractThe following Lecture Notes are based on the bookQuantum Computation and Quantum In-formationby Michael A. Nielsen and Isaac L. Chuang. They are for a math-based quantumcomputing course that I teach here at the University of Washington to computer science grad-uate students (with advanced undergraduates admitted upon request). These Notes start with abrief linear algebra review and proceed quickly to cover everything from Quantum algorithmsto error correction techniques. The material takes approximately 16 hours of Lecture time topresent.

2.2 Postulate 2: Evolution of quantum systems Postulate 2 (Nielsen and Chuang, page 81): “The evolution of a closed quantum system is described by a unitary transformation. That is, the state j ψ i of the system at time t1 is related to the state of ψ 0 of the system at time t2 by a unitary operator U which depends only on times t1 and t2. ...

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