Advanced Quantum Electronics and Quantum-Information Theory

 

Lecture Details

The lecture will be given by Dr. Pletyukhov.

Description:

Quantum dots and superconducting junctions are basic elements of circuits for quantum electronics and quantum-information processing. This course provides an overview of key approaches for their theoretical description following two intertwined, parallel tracks:

Track 1 focuses on basic circuits and solves these using statistical / quantum-field techniques.

Track 2 develops the general theory of open quantum systems using the tools of quantum-information.

The course is self-contained for students with a solid background in quantum mechanics, statistical physics, and basics of quantum theory of many-particle systems.

Track 1: Quantum electronics: superconducting junctions and quantum dots
- Quantization of electric circuits: charge and phase, reactive elements, fluctuations, noise
- Dissipative elements: open quantum systems, Caldeira-Legget model, dynamical Coulomb blockade
- Quantum field theory of transmission lines: microwave photons, input-output formalism
- Nonlinear elements: superconducting qubits, quantum-dot spin qubits

Track 2: Quantum information: open quantum systems
- Entanglement, purification, quantum measurements
- Density operators: Hilbert-Schmidt / Liouville space
- Open-system dynamics: quantum operations / channels, superoperators, Kraus formalism, quantum master equations
- Approximate master equations: Lindblad, quantum jumps
- State-operation correspondence (Jamiolkowski-Choi)
- Graphical representations of superoperators

Time Room Start/Finish

Wed. 2.30pm - 5pm

4273 (MBP2 116)

03.04.2019 - 10.07.2019 (13 dates)