Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Basic problems of quantum information theory and discrimination of quantum states and operations

2011/01/B/ST1/03994

Keywords:

Von Neumann algebra C* algebra discrimination cloning sufficiency quantum statistics quantum probability.

Descriptors:

  • ST1_9: Operator algebras and functional analysis
  • ST1_12: Mathematical methods of physics
  • ST1_13: Probability and statistics

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Łódzki, Wydział Matematyki i Informatyki

woj. łódzkie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Andrzej Łuczak 

Number of co-investigators in the project: 6

Call: OPUS 1 - announced on 2011-03-15

Amount awarded: 288 450 PLN

Project start date (Y-m-d): 2011-12-01

Project end date (Y-m-d): 2015-05-31

Project duration:: 42 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Notebook ASUS Zenbook UX32LA.
  2. Drukarka HP LJ M1536DNF.
  3. Notebook Dell 3szt plus drukarka (3 szt.) (13 500 PLN)

Information in the final report

  • Publication in academic press/journals (13)
  1. Quantum Sufficiency in the Operator Algebra Framework
    Authors:
    Andrzej Łuczak
    Academic press:
    International Journal of Theoretical Physics (rok: 2013, tom: -, strony: -), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10773-013-1747-4 - link to the publication
  2. State Determination and Sufficiency of Observables
    Authors:
    Katarzyna Lubnauer, Hanna Podsędkowska
    Academic press:
    International Journal of Theoretical Physics (rok: 2013, tom: -, strony: -), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10773-013-1635-y - link to the publication
  3. Quantum Blackwell–Sherman–Stein Theorem and Related Results
    Authors:
    Krzysztof Kaniowski, Katarzyna Lubnauer, Andrzej Łuczak
    Academic press:
    Open Systems & Information Dynamics (rok: 2013, tom: 20, strony: 1350017), Wydawca: World Scientific Publishing Company
    Status:
    Published
    DOI:
    10.1142/s1230161213500170 - link to the publication
  4. Cloning in C*-algebras
    Authors:
    Krzysztof Kaniowski, Katarzyna Lubnauer, Andrzej Łuczak
    Academic press:
    Proceedings of the Edinburgh Mathematical Society (rok: 2015, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Cambridge Journals
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. Generalised Luders Operation For Normal States On A Von Neumann Algebra
    Authors:
    Katarzyna Lubnauer, Andrzej Łuczak, Hanna Podsędkowska
    Academic press:
    Fixed Point Theory (International journal on fixed point theory computation and applications) (rok: 2015, tom: nie dotyczy, strony: nie dotyczy), Wydawca: House of the Book of Science Cluj-Napoca
    Status:
    Submitted
    DOI:
    brak - link to the publication
  6. Cloning by positive maps in von Neumann algebras
    Authors:
    A. Łuczak
    Academic press:
    Positivity (rok: 2014, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11117-014-0297-1 - link to the publication
  7. Luders Instruments, Generalised Luders Theorem, and Some Aspects of Sufficiency
    Authors:
    Andrzej Łuczak, Hanna Podsędkowska
    Academic press:
    International Journal of Theoretical Physics (rok: 2015, tom: on line, strony: -), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10773-014-2485-y - link to the publication
  8. Entropy of Quantum Measurement
    Authors:
    Hanna Podsędkowska
    Academic press:
    Entropy (rok: 2015, tom: 17, strony: 1181-1196), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/e17031181 - link to the publication
  9. Large free linear algebras of real and complex functions
    Authors:
    Artur Bartoszewicz, Szymon Głąb, Adam Paszkiewicz
    Academic press:
    Linear Algebra and its Applications (rok: 2013, tom: 438, strony: 3689-3701), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.laa.2013.01.013 - link to the publication
  10. Multicloning and Multibroadcasting in Operator Algebras
    Authors:
    Krzysztof Kaniowski, Katarzyna Lubnauer, Andrzej Łuczak
    Academic press:
    International Journal of Theoretical Physics (rok: 2015, tom: on line, strony: -), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10773-015-2627-x - link to the publication
  11. Cloning and broadcasting in operator algebras
    Authors:
    K. Kaniowski, K. Lubnauer, A. Łuczak
    Academic press:
    Quarterly Journal of Mathematics (rok: 2014, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/qmath/hau028 - link to the publication
  12. Optimal ambiguous discrimination between states given by two projections
    Authors:
    Krzysztof Kaniowski
    Academic press:
    Mathematica Slovaca (rok: 2014, tom: 64, strony: 247-258), Wydawca: Springer
    Status:
    Published
    DOI:
    10.2478/s12175-013-0199-x - link to the publication
  13. On a general concept of sufficiency in von Neumann algebras
    Authors:
    Andrzej Łuczak
    Academic press:
    Probability and Mathematical Statistics (rok: 2014, tom: nie dotyczy, strony: nie dotyczy), Wydawca: University of Wrocław
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication

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