<?xml version="1.0" encoding="UTF-8"?>
<xml><records><RECORD><source-app name="Bibcite" version="8.x">Drupal-Bibcite</source-app><REFERENCE_TYPE>0</REFERENCE_TYPE><CONTRIBUTORS><AUTHORS><AUTHOR><style face="normal" font="default" size="100%">Marcin Markiewicz</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Zbigniew Puchała</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Anna de Rosier</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Wiesław Laskowski</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Karol Życzkowski</style></AUTHOR></AUTHORS></CONTRIBUTORS><TITLES><TITLE><style face="normal" font="default" size="100%">Quantum noise generated by local random Hamiltonians</style></TITLE></TITLES><KEYWORDS/><DATES/><AUTHORS><style face="normal" font="default" size="100%"/></AUTHORS><YEAR><style face="normal" font="default" size="100%">2017</style></YEAR><SECONDARY_TITLE><style face="normal" font="default" size="100%">Physical Review A</style></SECONDARY_TITLE><LANGUAGE><style face="normal" font="default" size="100%">eng</style></LANGUAGE><VOLUME><style face="normal" font="default" size="100%">95</style></VOLUME><SECTION><style face="normal" font="default" size="100%">032333</style></SECTION><ABSTRACT><style face="normal" font="default" size="100%">&lt;p&gt;We investigate the impact of a local random unitary noise on multipartite quantum states of arbitrary dimension. We follow the dynamical approach, in which the single-particle unitaries are generated by local random Hamiltonians. Assuming short evolution time we derive an upper bound on the fidelity between an initial and the final state transformed by this type of noise. This result is based on averaging the Tamm-Mandelstam bound and holds for a wide class of distributions of random Hamiltonians fulfilling specific symmetry conditions. It is showed that the sensitivity of a given pure quantum state to the discussed type of noise depends only on the properties of a single-particle and bipartite reduced states.&lt;/p&gt;&#13;
</style></ABSTRACT><URL><style face="normal" font="default" size="100%">https://doi.org/10.1103/PhysRevA.95.032333</style></URL><title><style face="normal" font="default" size="100%">Quantum noise generated by local random Hamiltonians</style></title></RECORD><RECORD><source-app name="Bibcite" version="8.x">Drupal-Bibcite</source-app><REFERENCE_TYPE>0</REFERENCE_TYPE><CONTRIBUTORS><AUTHORS><AUTHOR><style face="normal" font="default" size="100%">Marcin Markiewicz</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Adrian Kolodziejski</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Zbigniew Puchała</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Adam Rutkowski</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Tomasz Tylec</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Wieslaw Laskowski</style></AUTHOR></AUTHORS></CONTRIBUTORS><TITLES><TITLE><style face="normal" font="default" size="100%">Unified approach to geometric and positive-map-based non-linear entanglement identifiers</style></TITLE></TITLES><KEYWORDS/><DATES/><AUTHORS><style face="normal" font="default" size="100%"/></AUTHORS><YEAR><style face="normal" font="default" size="100%">2018</style></YEAR><SECONDARY_TITLE><style face="normal" font="default" size="100%">Phys. Rev. A </style></SECONDARY_TITLE><LANGUAGE><style face="normal" font="default" size="100%">eng</style></LANGUAGE><VOLUME><style face="normal" font="default" size="100%">97</style></VOLUME><PAGES><style face="normal" font="default" size="100%">042339</style></PAGES><ABSTRACT><style face="normal" font="default" size="100%">&lt;p&gt;Detecting quantumness of correlations (especially entanglement) is a very hard task even in the simplest case, i.e., two-partite quantum systems. Here we provide an analysis of whether there exists a relation between two of the most popular types of entanglement identifiers: the first one based on positive maps and not directly applicable in the laboratory and the second one a geometric entanglement identifier which is based on specific Hermiticity-preserving maps. We show a profound relation between those two types of entanglement criteria. Hereunder we have proposed a general framework of nonlinear functional entanglement identifiers which allows us to construct experimentally friendly entanglement criteria.&lt;/p&gt;&#13;
</style></ABSTRACT><URL><style face="normal" font="default" size="100%">https://doi.org/10.1103/PhysRevA.97.042339</style></URL><title><style face="normal" font="default" size="100%">Unified approach to geometric and positive-map-based non-linear entanglement identifiers</style></title></RECORD><RECORD><source-app name="Bibcite" version="8.x">Drupal-Bibcite</source-app><REFERENCE_TYPE>0</REFERENCE_TYPE><CONTRIBUTORS><AUTHORS><AUTHOR><style face="normal" font="default" size="100%">Paweł Błasiak</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Marcin Markiewicz</style></AUTHOR></AUTHORS></CONTRIBUTORS><TITLES><TITLE><style face="normal" font="default" size="100%">Identical particles as a genuine non-local resource</style></TITLE></TITLES><KEYWORDS/><DATES/><AUTHORS><style face="normal" font="default" size="100%"/></AUTHORS><YEAR><style face="normal" font="default" size="100%">2025</style></YEAR><SECONDARY_TITLE><style face="normal" font="default" size="100%">npj Quantum Information </style></SECONDARY_TITLE><LANGUAGE><style face="normal" font="default" size="100%">eng</style></LANGUAGE><VOLUME><style face="normal" font="default" size="100%">11</style></VOLUME><SECTION><style face="normal" font="default" size="100%">171</style></SECTION><DATE><style face="normal" font="default" size="100%">11/2025</style></DATE><title><style face="normal" font="default" size="100%">Identical particles as a genuine non-local resource</style></title></RECORD><RECORD><source-app name="Bibcite" version="8.x">Drupal-Bibcite</source-app><REFERENCE_TYPE>0</REFERENCE_TYPE><CONTRIBUTORS><AUTHORS><AUTHOR><style face="normal" font="default" size="100%">Jay Lawrence</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Marcin Markiewicz</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Marek Żukowski</style></AUTHOR></AUTHORS></CONTRIBUTORS><TITLES><TITLE><style face="normal" font="default" size="100%">Comment on Aurélien Drezet’s Defense of Relational Quantum Mechanics.</style></TITLE></TITLES><KEYWORDS/><DATES/><AUTHORS><style face="normal" font="default" size="100%"/></AUTHORS><YEAR><style face="normal" font="default" size="100%">2024</style></YEAR><SECONDARY_TITLE><style face="normal" font="default" size="100%">Foundations of Physics </style></SECONDARY_TITLE><LANGUAGE><style face="normal" font="default" size="100%">eng</style></LANGUAGE><VOLUME><style face="normal" font="default" size="100%">54</style></VOLUME><SECTION><style face="normal" font="default" size="100%">45</style></SECTION><DATE><style face="normal" font="default" size="100%">07/2024</style></DATE><title><style face="normal" font="default" size="100%">Comment on Aurélien Drezet’s Defense of Relational Quantum Mechanics.</style></title></RECORD><RECORD><source-app name="Bibcite" version="8.x">Drupal-Bibcite</source-app><REFERENCE_TYPE>0</REFERENCE_TYPE><CONTRIBUTORS><AUTHORS><AUTHOR><style face="normal" font="default" size="100%">Marek Żukowski</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Marcin Markiewicz</style></AUTHOR></AUTHORS></CONTRIBUTORS><TITLES><TITLE><style face="normal" font="default" size="100%">Against (unitary) interpretation (of quantum mechanics): removing the metaphysical load</style></TITLE></TITLES><KEYWORDS/><DATES/><AUTHORS><style face="normal" font="default" size="100%"/></AUTHORS><SECONDARY_TITLE><style face="normal" font="default" size="100%">arXiv:2409.17061 [quant-ph]</style></SECONDARY_TITLE><LANGUAGE><style face="normal" font="default" size="100%">eng</style></LANGUAGE><DATE><style face="normal" font="default" size="100%">09/2024</style></DATE><title><style face="normal" font="default" size="100%">Against (unitary) interpretation (of quantum mechanics): removing the metaphysical load</style></title></RECORD><RECORD><source-app name="Bibcite" version="8.x">Drupal-Bibcite</source-app><REFERENCE_TYPE>0</REFERENCE_TYPE><CONTRIBUTORS><AUTHORS><AUTHOR><style face="normal" font="default" size="100%">Marcin Markiewicz</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Łukasz Pawela</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Zbigniew Puchała</style></AUTHOR></AUTHORS></CONTRIBUTORS><TITLES><TITLE><style face="normal" font="default" size="100%">Single-shot comparison of random quantum channels and measurements</style></TITLE></TITLES><KEYWORDS/><DATES/><AUTHORS><style face="normal" font="default" size="100%"/></AUTHORS><YEAR><style face="normal" font="default" size="100%">2026</style></YEAR><SECONDARY_TITLE><style face="normal" font="default" size="100%">Scientific Reports</style></SECONDARY_TITLE><LANGUAGE><style face="normal" font="default" size="100%">eng</style></LANGUAGE><ABSTRACT><style face="normal" font="default" size="100%">&lt;p&gt;In this work we provide an efficiency analysis of the problem of discrimination of two randomly chosen unknown quantum operations in the single-shot regime. We provide tight bounds for the success probability of such a protocol for arbitrary quantum channels and generalized measurements.&lt;/p&gt;&#13;
</style></ABSTRACT><URL><style face="normal" font="default" size="100%">https://www.nature.com/articles/s41598-026-70695-z</style></URL><title><style face="normal" font="default" size="100%">Single-shot comparison of random quantum channels and measurements</style></title></RECORD><RECORD><source-app name="Bibcite" version="8.x">Drupal-Bibcite</source-app><REFERENCE_TYPE>0</REFERENCE_TYPE><CONTRIBUTORS><AUTHORS><AUTHOR><style face="normal" font="default" size="100%">Marcin Markiewicz</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Konrad Schlichtholz</style></AUTHOR></AUTHORS></CONTRIBUTORS><TITLES><TITLE><style face="normal" font="default" size="100%">Unitary operator bases as universal averaging sets</style></TITLE></TITLES><KEYWORDS/><DATES/><AUTHORS><style face="normal" font="default" size="100%"/></AUTHORS><SECONDARY_TITLE><style face="normal" font="default" size="100%">arXiv:2503.17091 [quant-ph]</style></SECONDARY_TITLE><LANGUAGE><style face="normal" font="default" size="100%">eng</style></LANGUAGE><ABSTRACT><style face="normal" font="default" size="100%">&lt;p&gt;We provide a generalization of the idea of unitary designs to cover finite averaging over much more general operations on quantum states. Namely, we construct finite averaging sets for averaging quantum states over arbitrary reductive Lie groups, on condition that the averaging is performed uniformly over the compact component of the group. Our construction comprises probabilistic mixtures of unitary 1-designs on specific operator subspaces. Provided construction is very general, competitive in the size of the averaging set when compared to other known constructions, and can be efficiently implemented in the quantum circuit model of computation.&lt;/p&gt;&#13;
</style></ABSTRACT><title><style face="normal" font="default" size="100%">Unitary operator bases as universal averaging sets</style></title></RECORD><RECORD><source-app name="Bibcite" version="8.x">Drupal-Bibcite</source-app><REFERENCE_TYPE>0</REFERENCE_TYPE><CONTRIBUTORS><AUTHORS><AUTHOR><style face="normal" font="default" size="100%">Jay Lawrence</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Marcin Markiewicz</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Marek Żukowski</style></AUTHOR></AUTHORS></CONTRIBUTORS><TITLES><TITLE><style face="normal" font="default" size="100%">Relational quantum mechanics is still incompatible with quantum mechanics</style></TITLE></TITLES><KEYWORDS/><DATES/><AUTHORS><style face="normal" font="default" size="100%"/></AUTHORS><YEAR><style face="normal" font="default" size="100%">2025</style></YEAR><SECONDARY_TITLE><style face="normal" font="default" size="100%">European Journal for Philosophy of Science</style></SECONDARY_TITLE><LANGUAGE><style face="normal" font="default" size="100%">eng</style></LANGUAGE><VOLUME><style face="normal" font="default" size="100%">15</style></VOLUME><ISSUE><style face="normal" font="default" size="100%">1</style></ISSUE><SECTION><style face="normal" font="default" size="100%">16</style></SECTION><DATE><style face="normal" font="default" size="100%">03/2025</style></DATE><ABSTRACT><style face="normal" font="default" size="100%">&lt;p&gt;We showed in a recent article (Lawrence et al. &lt;a href="https://link.springer.com/article/10.1007/s13194-025-00639-3#ref-CR3" id="ref-link-section-d73323868e391" title="Lawrence, J., Markiewicz, M., &amp; Żukowski, M. (2023). Relative Facts of Relational Quantum Mechanics are Incompatible with Quantum Mechanics. Quantum, 7, 1015. &#13;
                  https://doi.org/10.22331/q-2023-05-23-1015&#13;
                  &#13;
                "&gt;2023&lt;/a&gt;. &lt;em&gt;Quantum, 7&lt;/em&gt;, 1015), that relative facts (outcomes), a central concept in Relational Quantum Mechanics, are inconsistent with Quantum Mechanics. We proved this by constructing a Wigner-Friend type sequential measurement scenario on a Greenberger-Horne-Zeilinger (GHZ) state of three qubits, and making the following assumption: “if an interpretation of quantum theory introduces some conceptualization of outcomes of a measurement, then probabilities of these outcomes must follow the quantum predictions as given by the Born rule.” Our work has been criticized by Cavalcanti et al. (&lt;a href="https://link.springer.com/article/10.1007/s13194-025-00639-3#ref-CR2" id="ref-link-section-d73323868e397" title="Cavalcanti, E. G., Di Biagio, A., &amp; Rovelli, C. (2023). On the consistency of relative facts. European Journal for Philosophy of Science., 13(4), 55. &#13;
                  https://doi.org/10.1007/s13194-023-00551-8&#13;
                  &#13;
                . &#13;
                  arXiv:2305.07343&#13;
                  &#13;
                "&gt;2023&lt;/a&gt;. &lt;em&gt;European Journal for Philosophy of Science, 13&lt;/em&gt;(4),55). In this note we show that their critique, based on their own reformulation of our argument, does not apply to our paper. It also raises questions of principle which are not answered within the framework of Relational Quantum Mechanics.&lt;/p&gt;&#13;
</style></ABSTRACT><title><style face="normal" font="default" size="100%">Relational quantum mechanics is still incompatible with quantum mechanics</style></title></RECORD><RECORD><source-app name="Bibcite" version="8.x">Drupal-Bibcite</source-app><REFERENCE_TYPE>0</REFERENCE_TYPE><CONTRIBUTORS><AUTHORS><AUTHOR><style face="normal" font="default" size="100%">Ludmiła Marcinkowska</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Łukasz Pawela</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Marcin Markiewicz</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Zbigniew Puchała</style></AUTHOR></AUTHORS></CONTRIBUTORS><TITLES><TITLE><style face="normal" font="default" size="100%">Asymptotic distinguishability of Haar-averaged measurement models</style></TITLE></TITLES><KEYWORDS/><DATES/><AUTHORS><style face="normal" font="default" size="100%"/></AUTHORS><YEAR><style face="normal" font="default" size="100%">2026</style></YEAR><SECONDARY_TITLE><style face="normal" font="default" size="100%">arXiv:2605.31168</style></SECONDARY_TITLE><PAGES><style face="normal" font="default" size="100%">49</style></PAGES><DATE><style face="normal" font="default" size="100%">05/29/2026</style></DATE><ABSTRACT><style face="normal" font="default" size="100%">We study discrimination problems generated by the same basic Haar-random measurement mechanism at two observational levels. First, we derive an explicit expression for the type-II error in the task of discriminating a Haar-random measure-and-prepare channel from the identity channel I, using a coherence-sensitive entangled tester. Second, after passing to the induced classical measurement records, we compare two random measurement models: one induced by a single collective unitary of the form U^⊗(n₁+n₂) with U ∈ U(d), and another induced by independent local unitaries U₁^⊗n₁ ⊗ U₂^⊗n₂. For the associated Haar-averaged aggregate histogram laws, in which the block of origin of each count is not retained, we obtain closed-form formulas and quantify their discrepancy through the total variation distance. We derive asymptotic expressions in the fixed-N, large-d regime, the fixed-d, large-N regime, the sparse joint-scaling regime N = o(√d), and the critical scaling regime N/√d → c. We also identify the block-resolved pair-of-histograms law, showing that the aggregate total variation distance is a coarse-grained lower bound on the distinguishability available when block labels are retained.</style></ABSTRACT><URL><style face="normal" font="default" size="100%">https://arxiv.org/abs/2605.31168</style></URL><title><style face="normal" font="default" size="100%">Asymptotic distinguishability of Haar-averaged measurement models</style></title></RECORD><RECORD><source-app name="Bibcite" version="8.x">Drupal-Bibcite</source-app><REFERENCE_TYPE>0</REFERENCE_TYPE><CONTRIBUTORS><AUTHORS><AUTHOR><style face="normal" font="default" size="100%">Marcin Markiewicz</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Łukasz Pawela</style></AUTHOR><AUTHOR><style face="normal" font="default" size="100%">Zbigniew Puchała</style></AUTHOR></AUTHORS></CONTRIBUTORS><TITLES><TITLE><style face="normal" font="default" size="100%">Choi-level twirling of quantum channels: finite constructions and non-compact transformations</style></TITLE></TITLES><KEYWORDS/><DATES/><AUTHORS><style face="normal" font="default" size="100%"/></AUTHORS><YEAR><style face="normal" font="default" size="100%">2026</style></YEAR><SECONDARY_TITLE><style face="normal" font="default" size="100%">Journal of Physics A: Mathematical and Theoretical</style></SECONDARY_TITLE><PAGES><style face="normal" font="default" size="100%">15</style></PAGES><DATE><style face="normal" font="default" size="100%">25/02/2026</style></DATE><TYPE_OF_WORK><style face="normal" font="default" size="100%">artykuł w czasopiśmie</style></TYPE_OF_WORK><ABSTRACT><style face="normal" font="default" size="100%">&lt;p&gt;Twirling, i.e. averaging over symmetry actions, is a standard tool for reducing quantum states and channels to a symmetry-invariant form. We study channel twirling from the perspective of the channel–state duality and provide a constructive Choi-level description of the averaging map induced by arbitrary input/output representations. Our main technical result concerns the collective setting: for π &lt;sup&gt;in&lt;/sup&gt;(U) = U &lt;sup&gt;⊗t&lt;/sup&gt;&lt;sub&gt;&lt;sup&gt;in&lt;/sup&gt;&lt;/sub&gt; and π &lt;sup&gt;out&lt;/sup&gt;(U) = U &lt;sup&gt;⊗t&lt;/sup&gt;&lt;sub&gt;&lt;sup&gt;out&lt;/sup&gt;&lt;/sub&gt; , we introduce a partial-transpose reduction that removes the contragredient action and converts the mixed (walled Brauer) channel twirl into an ordinary Schur–Weyl twirl of the partially transposed Choi operator under U &lt;sup&gt;⊗(t&lt;/sup&gt;&lt;sub&gt;&lt;sup&gt;in&lt;/sup&gt;&lt;/sub&gt;&lt;sup&gt;+t&lt;/sup&gt;&lt;sub&gt;&lt;sup&gt;out&lt;/sup&gt;&lt;/sub&gt;&lt;sup&gt;)&lt;/sup&gt; , enabling explicit permutation-based formulas without constructing walled Brauer idempotents or mixed Schur transforms. Beyond compact symmetries, we extend channel twirling to reductive, generally non-unitary groups via Cartan decomposition and obtain an invariant-sector decomposition of the averaged Choi operator with weights determined solely by the Abelian Cartan component. Finally, we provide two finite realizations of channel averaging: a “dual” implementation as a convex mixture of unitary-1-design channels acting on invariant sectors, and a design-like reconstruction showing that weighted group t-designs induce channel t-designs for t = t&lt;sub&gt;in&lt;/sub&gt; + t&lt;sub&gt;out&lt;/sub&gt;.&lt;/p&gt;</style></ABSTRACT><URL><style face="normal" font="default" size="100%">https://arxiv.org/abs/2512.23586</style></URL><title><style face="normal" font="default" size="100%">Choi-level twirling of quantum channels: finite constructions and non-compact transformations</style></title></RECORD></records></xml>
