Jan Kochanowski

@janfkoch.bsky.social

PhD student in math. physics & quantum info @IPParis. Formerly TUM&LMU, UniofCam 🇪🇺🏳️‍🌈 kochanowski.notion.site

I am very happy to announce a new work scirate.com/arxiv/2604.1... in which we extend seminal mathematical tools to the quasi-normed regime. With these we prove new additivity of output entropies results and a tenderizing notion of complete reverse hypercontractivity 🤫 there is a meme at the end

Two-Indexed Schatten Quasi-Norms with Applications to Quantum Information Theory

We define 2-indexed $(q,p)$-Schatten quasi-norms for any $q,p > 0$ on operators on a tensor product of Hilbert spaces, naturally extending the norms defined by Pisier's theory of operator-valued Schat...

scirate.com

Happy to see that two of my works were accepted to QIP next year! "Complexity of mixed Schatten norms of quantum maps“: arxiv.org/abs/2507.08358 "Computational aspects of the trace norm contraction coefficient“: arxiv.org/abs/2507.16737 Thank you to my coauthors! Looking forward to the talks.

Complexity of mixed Schatten norms of quantum maps

We study the complexity of computing the mixed Schatten $\|Φ\|_{q\to p}$ norms of linear maps $Φ$ between matrix spaces. When $Φ$ is completely positive, we show that $\| Φ\|_{q \to p}$ can be compute...

arxiv.org

Happy to finally share our new preprint: Efficient Quantum Measurements: Computational Max- and Measured Rényi Divergences and Applications. scirate.com/arxiv/2509.2... We are tackling the problem that information theoretic quantities may not be very meaningful in practical scalable experiments.

Efficient Quantum Measurements: Computational Max- and Measured Rényi Divergences and Applications

Quantum information processing is limited, in practice, to efficiently implementable operations. This motivates the study of quantum divergences that preserve their operational meaning while faithfull...

scirate.com

I am very happy to announce that my first published article „Rapid Thermalization of Dissipative Many-Body Dynamics of Commuting Hamiltonians“ is now published in Communications in Mathematical Physics. rdcu.be/euy1Y I feel honored and humbled to have been accepted in such a prestigious journal.

Rapid Thermalization of Dissipative Many-Body Dynamics of Commuting Hamiltonians - Communications in Mathematical Physics

Quantum systems typically reach thermal equilibrium rather quickly when coupled to a thermal environment. The usual way of bounding the speed of this process is by estimating the spectral gap of the d...

link.springer.com

I’m very happy to announce our new work on Additivity and chain rules for conditional entropies via ‚multi-indexed Schatten norms‘. We use tools from operator space theory that in a rather ‚simple‘ way give non-trivial chain rules and additivity statements. Find it at: arxiv.org/abs/2502.01611

Additivity and chain rules for quantum entropies via multi-index Schatten norms

The primary entropic measures for quantum states are additive under the tensor product. In the analysis of quantum information processing tasks, the minimum entropy of a set of states, e.g., the minim...

arxiv.org

I'm very happy to announce our latest paper on Gibbs state preparation out now: arxiv.org/abs/2412.01732 Tl;dr: Commuting q.Gibbs states satisfying a certain conditional mutual information decay ("the MCMI") property can be prepared efficiently up to small errors in normalized Wasserstein distance.

Quasi-optimal sampling from Gibbs states via non-commutative optimal transport metrics

We study the problem of sampling from and preparing quantum Gibbs states of local commuting Hamiltonians on hypercubic lattices of arbitrary dimension. We prove that any such Gibbs state which satisfi...

arxiv.org