Lecture13_QM5

Lecture13_QM5 - Quantum Theory Quantum 5 1 Topics q Quantum...

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1 Quantum Theory Quantum Theory 5 5
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2 Topics Topics Quantum States Quantum Theory of Polarizers Quantum Entanglement Quantum Teleportation Summary
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3 Quantum States Quantum States State Vectors A system is described by listing its base states , represented by the vectors | A1 ›, | A2 ›, … and a function H called its Hamiltonian Hamiltonian that describes the system’s interaction with its environment
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4 Quantum States Quantum States Base State Vectors < Ai | is the complex conjugate of | Ai > The base state vectors are orthogonal , that is, < Ai | Aj > = δ ij δ ij , the Kronecker delta, is 0 if i ≠ j and 1 if i = j
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5 Quantum States Quantum States Superposition In general, the state of a system is a superposition of its base states | A › = a 1 | A1 › + a 2 | A2 › + … The coefficients a i are called amplitudes , which, in general, are complex numbers Note <A1|A> = a 1 <A1|A1> + a 2 <A1|A2> + … = a 1
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6 Quantum States Quantum States Deterministic Evolution of States The state | A > of quantum system A evolves deterministicall y according to the Schrödinger equation A H A = t ii
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This note was uploaded on 02/17/2010 for the course PHY PHY3101 taught by Professor Prosper during the Spring '10 term at FSU.

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Lecture13_QM5 - Quantum Theory Quantum 5 1 Topics q Quantum...

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