13 citations · 13 across the 7 of their papers we have counts for
4 papers · 2 filters
Efficient Quantum Measurements: Computational Max- and Measured Rényi Divergences and Applications
Álvaro Yángüez, Thomas A. Hahn, Jan Kochanowski
Quantum information processing is limited, in practice, to efficiently implementable operations. This motivates the study of quantum divergences that preserve their operational mea…
Computational Aspects of the Trace Norm Contraction Coefficient
Idris Delsol, Omar Fawzi, Jan Kochanowski +1
We show that approximating the trace norm contraction coefficient of a quantum channel within a constant factor is NP-hard. Equivalently, this shows that determining the optimal su…
Complexity of mixed Schatten norms of quantum maps
Jan Kochanowski, Omar Fawzi, Cambyse Rouzé
We study the complexity of computing the mixed Schatten norms of linear maps between matrix spaces. When is completely positive, we show that $\| Φ\|_{q \t…
Additivity and chain rules for quantum entropies via multi-index Schatten norms
Omar Fawzi, Jan Kochanowski, Cambyse Rouzé +1
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 sta…