Łuczak, Andrzej On Segal entropy. arXiv:2402.11067 Preprint, arXiv:2402.11067 [math.OA] (2024). MSC: 46L53 81P45 62B15 × Cite Format Result Cite Full Text: arXiv OA License
Łuczak, Andrzej; Podsędkowska, Hanna; Wieczorek, Rafał Relative and quasi-entropies in semifinite von Neumann algebras. (English) Zbl 1522.46038 Rev. Math. Phys. 35, No. 2, Article ID 2250040, 39 p. (2023). MSC: 46L10 46L53 81R15 × Cite Format Result Cite Review PDF Full Text: DOI
Łuczak, Andrzej; Wieczorek, Rafał Weighted quantum measurements. (English) Zbl 1477.46072 Rev. Math. Phys. 32, No. 6, Article ID 2050016, 19 p. (2020). Reviewer: Alexander Belton (Lancaster) MSC: 46L53 62P35 81P15 × Cite Format Result Cite Review PDF Full Text: DOI
Luczak, Andrzej; Podsędkowska, Hanna Mappings preserving Segal’s entropy in von Neumann algebras. (English) Zbl 1430.46051 Ann. Acad. Sci. Fenn., Math. 44, No. 2, 769-789 (2019). MSC: 46L57 46L10 81P45 × Cite Format Result Cite Review PDF Full Text: DOI
Łuczak, Andrzej; Podsędkowska, Hanna; Wieczorek, Rafał Relative modular operator in semifinite von Neumann algebras and its use. arXiv:1912.09633 Preprint, arXiv:1912.09633 [math.OA] (2019). MSC: 46L53 81R15 × Cite Format Result Cite Full Text: arXiv OA License
Łuczak, Andrzej; Podsędkowska, Hanna Properties of Segal’s entropy for quantum systems. (English) Zbl 1387.81039 Int. J. Theor. Phys. 56, No. 12, 3783-3793 (2017). MSC: 81P16 94A17 46L10 46L30 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kaniowski, Krzysztof; Lubnauer, Katarzyna; Łuczak, Andrzej Cloning in \(C^\ast\)-algebras. (English) Zbl 1383.46042 Proc. Edinb. Math. Soc., II. Ser. 60, No. 3, 689-705 (2017). MSC: 46L30 81R15 81P50 × Cite Format Result Cite Review PDF Full Text: DOI
Łuczak, Andrzej Wigner-Araki-Yanase theorem in general theory of quantum measurement. (English) Zbl 1353.81018 Open Syst. Inf. Dyn. 23, No. 3, Article ID 1650013, 10 p. (2016). MSC: 81P15 81R05 46L07 46G10 × Cite Format Result Cite Review PDF Full Text: DOI
Łuczak, Andrzej On a general concept of sufficiency in von Neumann algebras. (English) Zbl 1348.46063 Probab. Math. Stat. 35, No. 2, 313-324 (2015). MSC: 46L53 81P45 62B15 × Cite Format Result Cite Review PDF Full Text: Link
Kaniowski, Krzysztof; Lubnauer, Katarzyna; Łuczak, Andrzej Multicloning and multibroadcasting in operator algebras. (English) Zbl 1329.81149 Int. J. Theor. Phys. 54, No. 12, 4444-4457 (2015). MSC: 81P50 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Łuczak, Andrzej; Podsȩdkowska, Hanna Lüders instruments, generalised Lüders theorem, and some aspects of sufficiency. (English) Zbl 1329.81113 Int. J. Theor. Phys. 54, No. 12, 4283-4292 (2015). MSC: 81P15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Łuczak, Andrzej Cloning by positive maps in von Neumann algebras. (English) Zbl 1319.81028 Positivity 19, No. 2, 317-332 (2015). MSC: 81P50 81R15 46L30 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kaniowski, Krzysztof; Lubnauer, Katarzyna; Łuczak, Andrzej Cloning and broadcasting in operator algebras. (English) Zbl 1321.81014 Q. J. Math. 66, No. 1, 191-212 (2015). Reviewer: K.-E. Hellwig (Berlin) MSC: 81P50 81R15 46L10 46L30 46L07 46L60 47L30 × Cite Format Result Cite Review PDF Full Text: DOI
Łuczak, Andrzej Quantum sufficiency in the operator algebra framework. (English) Zbl 1302.81112 Int. J. Theor. Phys. 53, No. 10, 3423-3433 (2014). MSC: 81R15 46L60 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kaniowski, Krzysztof; Lubnauer, Katarzyna; Łuczak, Andrzej Quantum Blackwell-Sherman-Stein theorem and related results. (English) Zbl 1279.62231 Open Syst. Inf. Dyn. 20, No. 4, Article ID 1350017, 16 p. (2013). MSC: 62P35 81Q99 × Cite Format Result Cite Review PDF Full Text: DOI
Luczak, Andrzej Quantum stochastic integrals and Doob-Meyer decomposition. (English) Zbl 1240.81019 J. Oper. Theory 66, No. 1, 161-193 (2011). Reviewer: Nicolas Privault (Singapore) MSC: 81S25 46L53 60G44 60H05 × Cite Format Result Cite Review PDF Full Text: arXiv
Łuczak, Andrzej Quantum stochastic integrals as operators. (English) Zbl 1204.81109 Int. J. Theor. Phys. 49, No. 12, 3176-3184 (2010). MSC: 81S25 46L60 60G44 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Luczak, Andrzej Maximizing the probability of detection for pure states. (English) Zbl 1187.81023 J. Math. Phys. 50, No. 5, 053502, 14 p. (2009). MSC: 81P16 × Cite Format Result Cite Review PDF Full Text: DOI
Łuczak, Andrzej Continuity of a quantum stochastic process. (English) Zbl 1192.81214 Int. J. Theor. Phys. 47, No. 1, 236-244 (2008). MSC: 81S25 46L60 × Cite Format Result Cite Review PDF Full Text: DOI
Łuczak, Andrzej; Mohammed, Abdulrahman A. A. Stochastic integration in finite von Neumann algebras. (English) Zbl 1164.46345 Stud. Sci. Math. Hung. 44, No. 2, 233-264 (2007). MSC: 46L53 81S25 × Cite Format Result Cite Review PDF Full Text: DOI
Lubnauer, Katarzyna; Łuczak, Andrzej; Podsȩdkowska, Hanna Weak sufficiency of quantum statistics. (English) Zbl 1147.46040 Rep. Math. Phys. 60, No. 3, 367-380 (2007). MSC: 46L53 81S05 × Cite Format Result Cite Review PDF Full Text: DOI
Łuczak, Andrzej Structure of the time projection for stopping times in von Neumann algebras. (English) Zbl 1103.81029 Int. J. Theor. Phys. 44, No. 7, 909-917 (2005). MSC: 81S25 81R15 47C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Łuczak, Andrzej On ideal measurements and their corresponding instruments on von Neumann algebras. (English) Zbl 0989.81516 Open Syst. Inf. Dyn. 6, No. 4, 325-334 (1999). MSC: 81P15 46N50 × Cite Format Result Cite Review PDF Full Text: DOI
Łuczak, Andrzej Properties of ergodic projection for quantum dynamical semigroups. (English) Zbl 0910.46050 Int. J. Theor. Phys. 37, No. 1, 555-562 (1998). MSC: 46L55 81R50 × Cite Format Result Cite Review PDF Full Text: DOI