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Home » Basic and Health Sciences » Physics » Quantum Information Science » Quantum Information Science I, Part 1 » Global phases and quantum states

Global phases and quantum states

Course:Quantum Information Science I, Part 1
Discipline:Basic and Health Sciences
Institute:MIT
Instructor(s): Prof. Isaac Chuang, Prof. Peter Shor
Level:Undergraduate

Quantum Information Science I, Part 1

A brief introduction to computational complexity
A set of commuting measurements for Mermin's magic square game
A tensor product state in the Hadamard basis
Bell's argument as a classical game between Alice and Bob
Brief introduction to quantum measurements
Cloning implies faster-than-light communication
Combining measurement and tensor products
Common single qubit gates
Composition of rotations and Bloch's theorem
Computation must be robust against noise
Continuous rotations of the Bloch sphere
Einstein, Podolsky, and Rosen's issues with quantum entanglement
Expectation value of two-qubit total spin operator
Gates for quantum circuits
Global phases and quantum states
History of quantum mechanics and quantum computation
Inner product of two-qubit states
Lemma: commuting matrices and simultaneous diagonalizability
Mathematical pre-requisites for QM
Mathematical representation of quantum states

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