Course

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.

Reversible computation, quantum gates

General considerations on string theory: perturbative string theory, D-branes, Dualities.

Introduction. Problems with the SM. EFT.

Resummation, Theta Vacua

Causal inequalities.