Course

Dimension five and six SM operators.

Oracle model, Deutsch-Josza algorithm

Ghosts in string theory - BRST-symmetric path integral for a bosonic string.

Effective field theory. Special properties of the SM.

Complexity theory, Church-Turing thesis

Ghosts and other terrors - BRST gauge fixing.

Superconducting qubits

The string spectrum.

DiVincenzo Criteria, Ion traps

The two-dimensional free boson: mode expansion, fock space; symmetries; the stress energy tensor and the Virasoro algebra.

Universal gate sets, no-cloning theorem, teleportation, distance between q. states (fidelity and trace distance)

 Path integral for a scalar field; Strings: Nambu Goto action, Polyakov action, Weyl symmetry, gauge fixing, Riemman surface, critical string.