This course is an introduction to the new field of quantum computation. What is a quantum computer? How does it work? What can it do? The course will explore the mathematics, physics, and computer science associated with these questions. The course will be taught at the senior undergraduate/graduate level, and prior courses in quantum mechanics and linear algebra will be essential. Senior undergraduate and graduate students in mathematics, computer science, and chemistry with this background are encouraged to enroll.
Topics: Thermodynamics of Computation, Axioms of Quantum Mechanics, Composite Systems, Qubits, Intrinsic Spin of Electrons and Photons, Density Matrix Theory, Bloch Sphere, Entanglement, Schmidt Number and Entanglement Entropy, Entanglement of Space with Spin, Bell Inequalities, EPR, Dense Coding, Quantum Key Distribution, Circuit Model of Computation, Quantum Circuits, Deutsch Algorithm, Bernstein-Vazirani Algorithm, Simon's Problem, Quantum Search, Quantum Period Finding, Quantum Fourier Transform, Factoring Prime, RSA Encryption.
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