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PHYSICS 779

ADVANCED QUANTUM COMPUTING

3 credits.

Explores applications of quantum theory to both the hardware and the software that underpin modern quantum information technology. Advanced quantum circuit theory: Clifford group and Gottesman-Knill theorem, Mathematica code. Decoherence: density matrices, probability distributions, T1 and T2. Advanced error correction: master equation, Kraus operators, fault tolerance, quantum tomography. Hardware: Trapped ions, Paul traps, sideband cooling, CZ and MS gates, neutral atoms, superconductors, quantum dots.

Prerequisites & course information

Requisites: PHYSICS 531 or 731 Course Designation: Grad 50% - Counts toward 50% graduate coursework requirement Repeatable for Credit: No Last Taught: Spring 2026 Learning Outcomes: 1. Understand how to construct and analyze a quantum circuit. Be able to simulate using Mathematica. Audience: Graduate 2. Master the formalism of decoherence of quantum computers. Be able to apply this knowledge for different noise models. Audience: Graduate 3. Advance knowledge of error correction beyond simple 5- and 7-qubit codes. Understand connection to classical error correction methods. Audience: Graduate 4. Be able to explain and compare all the major technologies in use today for quantum information processing. Grasp the physics behind each, including speed and resistance to decoherence. Audience: Graduate Learning Outcomes: 1. Understand how to construct and analyze a quantum circuit. Be able to simulate using Mathematica. Audience: Graduate 2. Master the formalism of decoherence of quantum computers. Be able to apply this knowledge for different noise models. Audience: Graduate 3. Advance knowledge of error correction beyond simple 5- and 7-qubit codes. Understand connection to classical error correction methods. Audience: Graduate 4. Be able to explain and compare all the major technologies in use today for quantum information processing. Grasp the physics behind each, including speed and resistance to decoherence. Audience: Graduate

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