Articles for subject Quantum

  • The Mermin-Peres magic square is a neat demonstration of measurement contextuality.
  • Projectors are linear operators with the property that the square of the operator is the operator.
  • Observables and Projective measurements. The Born rule. Expectation and variance of observables and uncertainty principle.
  • Quantum mechanics can be encapsulated by a set of postulates. In this set we will take the Hilbert space \(\mathcal{H}\) as the primary object.
  • Inner-products and norms are defined. Equipping a vector space with an inner-product gives an inner-product-space, and let’s us define bases.
  • The Dirac braket notation is popular in Quantum Mechanics but at its core this is just an elegant notation for vectors of complex numbers. It’s introduced in a finite dimensional complex vector space.
  • For some example noisy 1-qubit channels we give their representation in terms of Kraus Operators, the dynamical matrix and the process matrix.
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