activity
20232026
most citedMatrix Majorization in Large Samples with Varying Support Restrictions

2 citations · 2 across the 16 of their papers we have counts for

collaborators

19 papers

quant-ph2026

Fast and Sure-ious Quantum Process Tomography

A. Afham, Sayantan Sen, Marco Tomamichel

Quantum process tomography (QPT) protocols are often designed by lifting quantum state tomography (QST) protocols through the Choi-Jamiolkowski isomorphism, at the cost of an extra…

quant-ph2026

Monotonicity of the Rényi channel capacity under non-signaling assisted channel simulation

Tina Shariat, Matt Hoogsteder-Riera, Marco Tomamichel

We give an alternative variational proof that non-signaling correlations shared between the sender and receiver cannot increase the Rényi capacity of a classical channel. This mono…

quant-ph2026

Sharp Data-Processing Region for Quantum Conditional Rényi Entropies

Milad M. Goodarzi, Yucheng Bao, Marco Tomamichel

We study the three-parameter family of quantum conditional Rényi entropies introduced in \textit{Commun. Math. Phys.} 407, 180 (2026). We prove that the previously esta…

quant-ph2026

No information transmission through quantum channels above capacity

Hao-Chung Cheng, Marco Tomamichel

We show that the capacity of a quantum channel demarcates a phase transition: while reliable transmission below capacity is always possible, any attempt to transmit information abo…

quant-ph2026

On the Power of Adaptivity in Testing Quantum States in Fidelity

Jan Seyfried, Sayantan Sen, Marco Tomamichel

We study the problems of quantum state certification, equivalence testing and independence testing. In certification, given samples of an unknown quantum state and the descript…

quant-ph2026

Strong Converse Exponent of Quantum State Merging

Mario Berta, Hao-Chung Cheng, Roberto Rubboli +1

We determine the strong converse exponent for the entanglement cost of quantum state merging, showing that it is characterized by the optimized - conditional Rényi entropies…

math.FA2026

Weak Log-Majorization for Negative Lim-Pálfia Power Means

Marco Tomamichel

For and , let denote the weighted Kubo-Ando power mean of order and weight . Ando proved that, for every unitarily invariant norm, $\…

quant-ph2026

Hockey stick -divergences

Fumio Hiai, Milán Mosonyi, Marco Tomamichel

In this paper we give a systematic and unified treatment and extensions of various results on a new notion of quantum -divergences defined from quantum hockey stick divergences,…

quant-ph2026

Projections with Respect to Bures Distance and Fidelity: Closed-Forms and Applications

A. Afham, Marco Tomamichel

We derive simple and unified closed-form expressions for projections with respect to fidelity (equivalently, the Bures and purified distances) onto several sets of interest. These…

cs.IT2026

A complete characterisation of conditional entropies

Roberto Rubboli, Erkka Haapasalo, Marco Tomamichel

Entropies are fundamental measures of uncertainty with central importance in information theory and statistics and applications across all the quantitative sciences. Under a natura…

quant-ph2026

The strong converse exponent of composable randomness extraction against quantum side information

Roberto Rubboli, Marco Tomamichel

We find a tight characterization of the strong converse exponent for randomness extraction against quantum side information. In contrast to previous tight bounds, we employ a compo…

quant-ph2025

Conditions for Large-Sample Majorization of Pairs of Flat States in Terms of -z Relative Entropies

Frits Verhagen, Marco Tomamichel, Erkka Haapasalo

We offer the first operational interpretation of the -z relative entropies, a measure of distinguishability between two quantum states introduced by Jakšić et al. and Audenaert…

quant-ph2025

Additivity of quantum relative entropies as a single-copy criterion

Salman Beigi, Roberto Rubboli, Marco Tomamichel

The fundamental goal of information theory is to characterize complex operational tasks using efficiently computable information quantities, Shannon's capacity formula being the pr…

cs.DS2025

Testing (Conditional) Mutual Information

Jan Seyfried, Sayantan Sen, Marco Tomamichel

We investigate the sample complexity of mutual information and conditional mutual information testing. For conditional mutual information testing, given access to independent sampl…

quant-ph2025

A Unified Approach to Quantum Contraction and Correlation Coefficients

Ian George, Marco Tomamichel

The maximal correlation coefficient measures the linear correlation in a bipartite distribution and contraction coefficients measure how much information is lost under a noisy chan…

cs.IT2025

Umlaut information

Filippo Girardi, Aadil Oufkir, Bartosz Regula +3

The sphere-packing bound quantifies the error exponent for noisy channel coding for rates above a critical value. Here, we study the zero-rate limit of the sphere-packing bound and…

quant-ph2024

Quantum conditional entropies from convex trace functionals

Roberto Rubboli, Milad M. Goodarzi, Marco Tomamichel

We study geometric properties of trace functionals that generalize those in [Zhang, Adv. Math. 365:107053 (2020)], arising from a novel family of conditional entropies with applica…

math.ST2024★ 2 cited

Matrix Majorization in Large Samples with Varying Support Restrictions

Frits Verhagen, Marco Tomamichel, Erkka Haapasalo

We say that a matrix with non-negative entries majorizes another such matrix if there is a stochastic matrix such that . We study matrix majorization in large sam…

quant-ph2023

A fixed-point algorithm for matrix projections with applications in quantum information

Shrigyan Brahmachari, Roberto Rubboli, Marco Tomamichel

We develop a fixed-point iterative algorithm that computes the matrix projection with respect to the Bures distance on the set of positive definite matrices that are invariant unde…