Lecture: Quantum compiling

Double-bracket quantum algorithms for diagonalization

12 min: Double-bracket flow quantum algorithm for diagonalization

Quantum processing using QIBO

Let's look at the essential ingredients of the circuit model of a quantum computer, see how quantum gates build upon basic calculations typically covered in introductory quantum mechanics courses, explore how circuits made of quantum gates allow us to make sense of computations involving several qubits and finally get a taste for what it feels to design, compile and run algorithms performing quantum information processing. Two paradigmatic quantum circuits will be discussed: how to entangle a particular product state into a Bell state and the swap-test circuit for measuring overlaps between pure quantum states. All formulas will be accompanied with an online interactive python notebook implementing the examples using QIBO.

Short version: Double-bracket flow quantum algorithm for diagonalization

Observation of curved light cones in a quantum field simulator

Matchgates seminar

Slides: Double-bracket flow quantum algorithm for diagonalization

Tomography overview

Dynamical structure factor of Rydberg arrays

Tutorial: Quantum simulation

Breaking of Huygens-Fresnel principle in inhomogeneous Tomonaga-Luttinger liquids

Mechanisms for the emergence of Gaussian correlations

Tomography and non-equilibrium dynamics in continuous field quantum simulators (Entanglement in quantum fields Heidelberg 2021)