Tutorial lectures offered by the pioneers of the field:
- Alexandre Feller, Junior Professor at Université de Lille
- Pascal Degiovanni, Professor at École normale supérieure de Lyon
Master class will be held at the University of Latvia on Monday, May 18th from 14:30 to 18:00 at the House of Science (Jelgavas iela 3, Rīga), Auditorium 103/104. To predict the number of participants, please fill out the application form by May 15th, 2026.
Electron quantum optics opens a concrete route toward electronic flying qubits — propagating electrons carrying quantum information along quantum Hall edge channels. Realising this vision requires confronting two deep challenges absent in photonic settings: the constraints imposed by fermionic statistics and the parity superselection rule on qubit encoding, and the multimode character of physical 1D channels which causes unavoidable leakage out of any chosen computational subspace. Meeting these challenges demands new tools for characterizing the quantum state of propagating electrons, capable of accessing not just single-electron but two-electron coherences. These two tutorials address both sides of this programme in sequence.
Tutorial 1 (2x45')— Electronic Flying Qubits
Electrons propagating in chiral quantum Hall edge channels offer a compelling platform for flying qubit implementations, but their fermionic nature and the multimode character of physical 1D channels introduce fundamental challenges absent in photonic settings. The first session establishes the conceptual foundations — modes as the natural language for fermionic quantum information, the parity superselection rule and its constraints on qubit encoding, and the information-theoretic relationships between fermionic modes, classical bits, and quantum bits — before discussing single-electron sources, single-qubit gates, and the four-channel two-qubit architecture. The second session analyses the controlled-phase gate, the generation and quantification of entanglement, and the consequences of multimode leakage out of the computational subspace at each stage of the circuit. It closes by connecting the output state to measurable electronic coherence functions, forming a natural bridge to the second tutorial.
Tutorial 2 (2x45') — Quantum Tomography in Electron Quantum Optics
Characterizing the quantum state of propagating electrons — and certifying entanglement between them — requires going beyond standard transport measurements. The first session reviews the framework of electron quantum optics as quantum signal processing, in which interference experiments are understood as analog filters acting on electronic coherences, and discusses standard tomographic protocols based on Hanbury-Brown–Twiss and Hong-Ou-Mandel interferometry. The second session presents a new photo-assisted tomography protocol in which a microwave drive acts as a frequency-domain filter, giving access to single-electron coherences via dc-current measurements and to two-electron coherences via current correlations, thereby enabling the evaluation of entanglement witnesses in ballistic quantum conductors.
The master class is aimed at graduate students and researchers in theoretical condensed matter physics and/or quantum information with no prior exposure to electron quantum optics. Familiarity with basic quantum mechanics and condensed matter physics is assumed. The tutorials are designed to be attended in sequence but are individually self-contained.
Researchers involved in Quantera II project "ElQuRes" and EIC Pathfinder project "ELEQUANT" are particularly invited.
