# 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__
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Time | Room | Start/Finish |
---|---|---|

Wed. 2.30pm - 5pm |
4273 (MBP2 116) |
03.04.2019 - 10.07.2019 (13 dates) |