Author: Alessandro Olgiati

Tuesday, May 26, 2026 - 11:00
Sala Consiglio (7th floor) - Bd. 14 "Nave", Via Bonardi 9
Politecnico di Milano

Zoom link on request (contact Alessandro Olgiati by email)

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SPEAKER: Serena Federico (University of Bologna)

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Weyl calculus on graded Lie groups

In this talk, we shall discuss the existence of a Weyl pseudo-differential calculus on a graded Lie G.
To begin with, we will introduce a family of admissible quantizations on G and develop the corresponding pseudo-differential calculus. Afterwards, following classical criteria, we shall identify the suitable candidate Weyl quantization on G among all the admissible symmetric ones. Finally, we will show that in the case of the Heisenberg group, the Weyl quantization is uniquely determined.
This talk is based on a joint work with D. Rottensteiner and M. Ruzhansky.

Friday, May 8, 2026 - 11:00
Sala Consiglio (7th floor) - Bd. 14 "Nave", Via Bonardi 9
Politecnico di Milano

Zoom link on request (contact Alessandro Olgiati by email)

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SPEAKER: Yelena Guryanova (University of Basel / QuantumBasel)

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Cloning Quantum Channels

For states, the no-cloning theorem is one of the first encounters in quantum information: an arbitrary unknown pure state cannot be perfectly copied onto a waiting register. It’s simple then to infer that cloning N states onto M registers won’t work either, but by relaxing the problem to allow for imperfect (approximate) copying, one can investigate the rate and quality of N-to-M cloning. But what if we go further? Can we imagine cloning the cloner, in other words, cloning devices themselves? Questions around states have constituted decades of investigation and were, most recently, extended to cloning unitary gates. In this work we pose the question comprehensively and study general quantum channel cloning via a framework based on higher-order quantum operations. We establish necessary conditions for a family of channels to exhibit super-replication—those that can be cloned with a quadratic rate at high-quality (bounded error). Noisy phase-gate channels can be super-replicated but the full set of noisy unitaries; classical noise; and amplitude damping channels cannot. We present algorithms that search for channel cloners and study specific cloning strategies. In many cases, estimating and re-preparing is enough: for the unitary gates for which super-replication protocols were known, we construct simpler alternatives and establish a direct connection between channel cloning and Bayesian estimation.

Thursday, April 16, 2026 - 15:30
Aula Seminari (3rd floor) - Bd. 14 "Nave", Via Bonardi 9
Politecnico di Milano

Zoom link on request (contact Alessandro Olgiati by email)

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SPEAKER: Hynek Kovařík (Università degli studi di Brescia)

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Cwikel-Lieb-Rozenblum type estimates for magnetic Hamiltonians in dimension two

In this talk I will present Cwikel-Lieb-Rozenblum type inequalities for the number of negative eigenvalues of Pauli and Schroedinger operators in dimension two. The resulting upper bounds are sharp both in the weak as well as the strong coupling limit. In both cases, the nature of the inequality depends on whether the flux of the magnetic field is integer or not. The talk is based on a joint work with Matthias Baur.