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James Freericks

Quantum sensing is the most technologically advanced area of quantum information science. It also requires the most advanced prerequisites to enter. These two courses provide a foundation for further work in quantum information science. After completing this sequence (which must be taken in order), you will have the theoretical background for working in quantum sensing. The material is at the undergraduate level. It is condensed in two courses to allow you prepare faster for quantum sensing than other options currently available.

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Quantum sensing is the most technologically advanced area of quantum information science. It also requires the most advanced prerequisites to enter. These two courses provide a foundation for further work in quantum information science. After completing this sequence (which must be taken in order), you will have the theoretical background for working in quantum sensing. The material is at the undergraduate level. It is condensed in two courses to allow you prepare faster for quantum sensing than other options currently available.

The material culminates in a description of the quantum mechanical ideas needed to make make laser interferometry gravitational observatory (LIGO) work---the most advanced quantum sensor in the world.

What you'll learn

  • How to work with math as a practitioner, not a technician for calculus, vector calculus, complex variables, linear algebra, differential equations, and Fourier series.
  • What quantum superposition, the principal of complementarity, and quantum measurement are. How entanglement leads to bizarre phenomena, such as seeing something without having photons interact with them.
  • The formal developments of quantum mechanics employing an operator-based representation-independent formalism and the four fundamental operator identities.
  • The science behind how quantum mechanics is used to improve the accuracy of the laser interferometer gravitational wave observatory---humankind’s most accurate quantum sensor.

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What's inside

One course

Mathematical and Computational Methods

(2 hours)
Physicists use math constantly. Hence, it is critical that you become efficient in using more advanced math to enable you to work on more advanced physics courses. The goal of this class is to transform you from a math technician to a math practitioner.

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