Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

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
  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
  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