159 citations · 1.4k across the 75 of their papers we have counts for
7 papers · 2 filters
Exploring Quantum Average-Case Distances: proofs, properties, and examples
Filip B. Maciejewski, Zbigniew Puchała, Michał Oszmaniec
In this work, we perform an in-depth study of recently introduced average-case quantum distances. The average-case distances approximate the average Total-Variation (TV) distance b…
Operational Quantum Average-Case Distances
Filip B. Maciejewski, Zbigniew Puchała, Michał Oszmaniec
We introduce distance measures between quantum states, measurements, and channels based on their statistical distinguishability in generic experiments. Specifically, we analyze the…
Statistical quality assessment of Ising-based annealer outputs
Krzysztof Domino, Mátyás Koniorczyk, Zbigniew Puchała
The ability to evaluate the outcomes of quantum annealers is essential for such devices to be used in complex computational tasks. We introduce a statistical test of the quality of…
Dephasing superchannels
Zbigniew Puchała, Kamil Korzekwa, Roberto Salazar +2
We characterise a class of environmental noises that decrease coherent properties of quantum channels by introducing and analysing the properties of dephasing superchannels. These…
Relating entropies of quantum channels
Dariusz Kurzyk, Łukasz Pawela, Zbigniew Puchała
In this work, we study two different approaches to defining the entropy of a quantum channel. One of these is based on the von Neumann entropy of the corresponding Choi-Jamiołkowsk…
Excluding false negative error in certification of quantum channels
Aleksandra Krawiec, Łukasz Pawela, Zbigniew Puchała
Certification of quantum channels is based on quantum hypothesis testing and involves also preparation of an input state and choosing the final measurement. This work primarily foc…
Algebraic and geometric structures inside the Birkhoff polytope
Grzegorz Rajchel-Mieldzioć, Kamil Korzekwa, Zbigniew Puchała +1
The Birkhoff polytope consisting of all bistochastic matrices of order assists researchers from many areas, including combinatorics, statistical physics and qua…