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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Uncertainty relations and quantum entanglement

2015/18/A/ST2/00274

Keywords:

quantum mechanics uncertainty relations quantum correlations quantum entanglement

Descriptors:

  • ST2_15: Metrology and measurement methods

Panel:

ST2 - Fundamental constituents of matter: particle, nuclear, plasma, atomic, molecular, gas and optical physics

Host institution :

Uniwersytet Jagielloński, Wydział Fizyki, Astronomii i Informatyki Stosowanej

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Karol Życzkowski 

Number of co-investigators in the project: 14

Call: MAESTRO 7 - announced on 2015-06-15

Amount awarded: 2 624 400 PLN

Project start date (Y-m-d): 2016-06-09

Project end date (Y-m-d): 2023-06-08

Project duration:: 84 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Komputer GIGAMPRO I513600K+mysz+klawiatura PB-64 (3 809 PLN)
  2. Monitor DELL S2722DZ PB-64 (1 783 PLN)
  3. Drukarka HP 150NW PB-64 (1 340 PLN)
  4. komputer przenośny (2 szt.) (15 000 PLN)
  5. komputer przenośny (3 szt.) (15 000 PLN)
  6. Stacja robocza (10 000 PLN)
  7. komputer stacjonarny (2 szt.) (20 000 PLN)
  8. Laptop DELL L5431+ETUI LUIGISANTO 686602 PB-64 (7 675 PLN)
  9. Symulator komputera kwantowego.
  10. karta do symulatora kwantowego.
  11. serwer DELL R 750 PB 64 (43 665 PLN)
  12. wielordzeniowe stacje robocze (3 szt.) (40 000 PLN)

Information in the final report

  • Publication in academic press/journals (56)
  1. Algebraic and geometric structures inside the Birkhoff polytope
    Authors:
    G. Rajchel-Mieldzioć, K. Korzekwa, Z. Puchała, K. Życzkowski
    Academic press:
    Journal of Mathematical Physics (rok: 2022, tom: 63, strony: 12202), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0046581 - link to the publication
  2. Bipartite quantum measurements with optimal single-sided distinguishability
    Authors:
    Jakub Czartowski, Karol Życzkowski
    Academic press:
    Quantum (rok: 2021, tom: 5, strony: 442), Wydawca: VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF
    Status:
    Published
    DOI:
    10.22331/q-2021-04-26-442 - link to the publication
  3. Coarse-grained entanglement classification through orthogonal arrays
    Authors:
    L. Seveso, D. Goyeneche, K. Życzkowski
    Academic press:
    Journal of Mathematical Physics (rok: 2018, tom: 59, strony: 72203), Wydawca: AIP
    Status:
    Published
    DOI:
    10.1063/1.5006890 - link to the publication
  4. Coherifying quantum channels
    Authors:
    K. Korzekwa, S. Czachórski, Z. Puchała and K. Życzkowski
    Academic press:
    New Journal of Physics (rok: 2018, tom: 20, strony: 43028), Wydawca: IOP PUBLISHING LTD
    Status:
    Published
    DOI:
    10.1088/1367-2630/aaaff3 - link to the publication
  5. Encoding classical information into quantum resources
    Authors:
    K. Korzekwa, Z. Puchała, M. Tomamichel and K. Życzkowski
    Academic press:
    IEEE Transactions Information Theory (rok: 2022, tom: 68, strony: 4518 - 4530), Wydawca: IEEE Information Theory Societ
    Status:
    Published
    DOI:
    10.1109/TIT.2022.3157440 - link to the publication
  6. Generating random quantum channels
    Authors:
    Ryszard Kukulski, Ion Nechita, Łukasz Pawela, Zbigniew Puchała, Karol Życzkowski
    Academic press:
    Journal of Mathematical Physics (rok: 2021, tom: 62, strony: 62201), Wydawca: AMER INST PHYSICS
    Status:
    Published
    DOI:
    10.1063/5.0038838 - link to the publication
  7. Geometric and algebraic origins of additive uncertainty relations
    Authors:
    Konrad Szymański, Karol Życzkowski
    Academic press:
    Journal of Physics A (rok: 2019, tom: 53, strony: 15302), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8121/ab4543 - link to the publication
  8. Informational power of the Hoggar SIC-POVM
    Authors:
    A. Szymusiak and W. Słomczyński
    Academic press:
    Physical Review A (rok: 2016, tom: 94, strony: 12122), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevA.94.012122 - link to the publication
  9. Majorization entropic uncertainty relations for quantum operations
    Authors:
    A. E. Rastegin and K. Życzkowski
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2016, tom: 49, strony: 355301), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8113/49/35/355301 - link to the publication
  10. Monotonicity of the quantum 2-Wasserstein distance
    Authors:
    R. Bistroń, M. Eckstein, K. Życzkowski
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2023, tom: 56, strony: 95301), Wydawca: IOP Publishing Ltd
    Status:
    Published
    DOI:
    10.1088/1751-8121/acb9c8 - link to the publication
  11. Optimal allocation of quantum resources
    Authors:
    Roberto Salazar, Tanmoy Biswas, Jakub Czartowski, Karol Życzkowski, Paweł Horodecki
    Academic press:
    Quantum (rok: 2021, tom: 5, strony: 407), Wydawca: VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF
    Status:
    Published
    DOI:
    10.22331/q-2021-03-10-407 - link to the publication
  12. Quantum dynamical entropy, chaotic unitaries and complex Hadamard matrices
    Authors:
    W. Słomczyński and A. Szczepanek
    Academic press:
    IEEE Transactions on Information Theory (rok: 2017, tom: 63, strony: 7821 - 7831), Wydawca: IEEE
    Status:
    Published
    DOI:
    10.1109/TIT.2017.2751507 - link to the publication
  13. Random generators of Markovian evolution: A quantum-classical transition by superdecoherence
    Authors:
    W. Tarnowski, I. Yusipov, T. Laptyeva, S. Denisov, D. Chruściński, K. Życzkowski
    Academic press:
    Physical Review E (rok: 2021, tom: 104, strony: 34118), Wydawca: AMER PHYSICAL SOC
    Status:
    Published
    DOI:
    10.1103/PhysRevE.104.034118 - link to the publication
  14. Symmetries of quantum evolutions
    Authors:
    Giulio Chiribella, Erik Aurell, Karol Życzkowski
    Academic press:
    Physical Review Research (rok: 2021, tom: 3, strony: 33028), Wydawca: AMER PHYSICAL SOC
    Status:
    Published
    DOI:
    10.1103/PhysRevResearch.3.033028 - link to the publication
  15. Trade-off relations for operation entropy of complementary quantum channels
    Authors:
    Jakub Czartowski, Daniel Braun, Karol Życzkowski
    Academic press:
    International Journal of Quantum Information (rok: 2019, tom: 17, strony: 1950046), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219749919500461 - link to the publication
  16. Universal witnesses of vanishing energy gap
    Authors:
    K. Szymański and K. Życzkowski
    Academic press:
    EuroPhysics Letters (rok: 2021, tom: 136, strony: 30003), Wydawca: EDP SCIENCES S A
    Status:
    Published
    DOI:
    10.1209/0295-5075/ac35f4 - link to the publication
  17. k-uniform mixed states
    Authors:
    Waldemar Klobus, Adam Burchardt, Adrian Kolodziejski, Mahasweta Pandit, Tamas Vertesi, Karol Zyczkowski, Wieslaw Laskowski
    Academic press:
    Physical Review A (rok: 2019, tom: 100, strony: 32112), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevA.100.032112 - link to the publication
  18. 9 × 4 = 6 × 6: Understanding the quantum solution to the Euler's problem of 36 officers
    Authors:
    K. Życzkowski, W. Bruzda, G. Rajchel-Mieldzioć, A. Burchardt, S. A. Rather, A. Lakshminarayan
    Academic press:
    Journal of Physics: Conference Series (rok: 2023, tom: 2448, strony: 12003), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1742-6596/2448/1/012003 - link to the publication
  19. Application of Shemesh theorem to analysis of spectral properties of quantum channels
    Authors:
    M. Białończyk, A. Jamiołkowski, K. Życzkowski
    Academic press:
    Journal of Mathematical Physics (rok: 2018, tom: 59, strony: 102204), Wydawca: AIP
    Status:
    Published
    DOI:
    10.1063/1.5027616 - link to the publication
  20. Entanglement and quantum combinatorial designs
    Authors:
    D. Goyeneche, Z. Raissi, S. Di Martino, K. Życzkowski
    Academic press:
    Physical Review A (rok: 2018, tom: 97, strony: 62326), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevA.97.062326 - link to the publication
  21. Entanglement of three-qubit random pure states
    Authors:
    M. Enriquez, F. Delgado, K. Życzkowski
    Academic press:
    Entropy (rok: 2018, tom: 20, strony: 745), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/e20100745 - link to the publication
  22. Five open problems in quantum information theory
    Authors:
    P. Horodecki, L. Rudnicki and K. Zyczkowski
    Academic press:
    PRX Quantum, Physical Review journal (rok: 2022, tom: 3, strony: 10101), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PRXQuantum.3.010101 - link to the publication
  23. Nuclear numerical range and quantum error correction codes for non-unitary noise models
    Authors:
    P. Lipka-Bartosik and K. Życzkowski
    Academic press:
    Quantum Information Processing (rok: 2017, tom: 0,672916666666667, strony: brak), Wydawca: SpringerLink
    Status:
    Published
    DOI:
    10.1007/s11128-016-1484-8 - link to the publication
  24. Operational approach to Bell inequalities: applications to qutrits
    Authors:
    D. Alsina, A. Cervera, D. Goyeneche, J. I. Latorre and K. Życzkowski
    Academic press:
    Physical Review A (rok: 2016, tom: 94, strony: 32102), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevA.94.032102 - link to the publication
  25. Perfect quantum-state synchronization
    Authors:
    Jakub Czartowski, Ronny Müller, Karol Zyczkowski, Daniel Braun
    Academic press:
    Physical Review A (rok: 2021, tom: 104, strony: 12410), Wydawca: AMER PHYSICAL SOC
    Status:
    Published
    DOI:
    10.1103/PhysRevA.104.012410 - link to the publication
  26. Quasi-inversion of quantum and classical channels in finite dimensions
    Authors:
    Fereshte Shahbeigi, Koorosh Sadri, Morteza Moradi, Karol Życzkowski, Vahid Karimipour
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2021, tom: 54, strony: 345301), Wydawca: IOP PUBLISHING LTD
    Status:
    Published
    DOI:
    10.1088/1751-8121/ac13db - link to the publication
  27. Universal spectra of random Lindblad operators
    Authors:
    Sergey Denisov, Tetyana Laptyeva, Wojciech Tarnowski, Dariusz Chruściński, Karol Życzkowski
    Academic press:
    PHYSICAL REVIEW LETTERS (rok: 2019, tom: 123, strony: 140403), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevLett.123.140403 - link to the publication
  28. Accessible Maps in a Group of Classical or Quantum Channels
    Authors:
    Koorosh Sadri, Fereshte Shahbeigi, Zbigniew Puchała, Karol Życzkowski
    Academic press:
    Open Systems & Information Dynamics (rok: 2022, tom: 29, strony: 2250002), Wydawca: Word Scientific
    Status:
    Published
    DOI:
    10.1142/S1230161222500020 - link to the publication
  29. Bipartite unitary gates and billiard dynamics in the Weyl chamber
    Authors:
    A. Mandarino, T. Linowski, K. Życzkowski
    Academic press:
    Physical Review A (rok: 2018, tom: 98, strony: 12335), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevA.98.012335 - link to the publication
  30. Confident entanglement detection via separable numerical range
    Authors:
    Timo Simnacher, Jakub Czartowski, Konrad Szymański, Karol Życzkowski
    Academic press:
    Physical Review A (rok: 2021, tom: 104, strony: 42420), Wydawca: AMER PHYSICAL SOC
    Status:
    Published
    DOI:
    10.48550/arXiv.2107.04365 - link to the publication
  31. Cut-resistant links and multipartite entanglement resistant to particle loss
    Authors:
    Gonçalo M. Quinta, Rui André, Adam Burchardt, Karol Życzkowski
    Academic press:
    Physical Review A (rok: 2019, tom: 100, strony: 62329), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevA.100.062329 - link to the publication
  32. Defect and Equivalence of Unitary Matrices. The Fourier Case. Part I
    Authors:
    Wojciech Tadej
    Academic press:
    Open Systems & Information Dynamics (rok: 2018, tom: 25, strony: 1850020), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S1230161218500208 - link to the publication
  33. Entanglement in highly symmetric multipartite quantum states
    Authors:
    Adam Burchardt, Jakub Czartowski, Karol Życzkowski
    Academic press:
    Physical Review A (rok: 2021, tom: 104, strony: 22426), Wydawca: AMER PHYSICAL SOC
    Status:
    Published
    DOI:
    10.1103/PhysRevA.104.022426 - link to the publication
  34. Gauge invariant information concerning quantum channels
    Authors:
    Ł. Rudnicki, Z. Puchała, K. Życzkowski
    Academic press:
    Quantum (rok: 2018, tom: 2, strony: 60), Wydawca: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
    Status:
    Published
    DOI:
    10.22331/q-2018-04-11-60 - link to the publication
  35. Iso-entangled mutually unbiased bases, symmetric quantum measurements and mixed-state designs
    Authors:
    Jakub Czartowski, Dardo Goyeneche, Markus Grassl, Karol Życzkowski
    Academic press:
    PHYSICAL REVIEW LETTERS (rok: 2020, tom: 124, strony: 90503), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevLett.124.090503 - link to the publication
  36. Quantum measurements with prescribed symmetry
    Authors:
    W. Bruzda, D. Goyeneche, K. Życzkowski
    Academic press:
    Physical Review A (rok: 2017, tom: 96, strony: 22105), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevA.96.022105 - link to the publication
  37. Robust Hadamard matrices, unistochastic rays in Birkhoff polytope and equi-entangled bases in composite spaces
    Authors:
    G. Rajchel, A. Gąsiorowski, K. Życzkowski
    Academic press:
    Math. Comput. Sci. (rok: 2018, tom: 18, strony: 384), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11786-018-0384-y - link to the publication
  38. Transition from order to chaos in reduced quantum dynamics
    Authors:
    W. Klobus, P. Kurzynski, M. Kus, W. Laskowski, R. Przybycien, K. Życzkowski
    Academic press:
    PHYSICAL REVIEW E (rok: 2022, tom: 105, strony: 34201), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevE.105.034201 - link to the publication
  39. Entanglement measures of bipartite quantum gates and their thermalization under arbitrary interaction strength
    Authors:
    B. Jonnadula, P. Mandayam, K. Życzkowski, A. Lakshminarayan
    Academic press:
    Physical Review Research (rok: 2020, tom: 2, strony: 43126), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevResearch.2.043126 - link to the publication
  40. Entangling power of multipartite unitary gates
    Authors:
    Tomasz Linowski, Grzegorz Rajchel-Mieldzioć, Karol Życzkowski
    Academic press:
    Journal of Physics A (rok: 2020, tom: 53, strony: 125303), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.48550/arXiv.1909.07709 - link to the publication
  41. Log-Convex set of Lindblad semigroups acting on N-level system
    Authors:
    Fereshte Shahbeigi, David Amaro-Alcalá, Zbigniew Puchała, Karol Życzkowski
    Academic press:
    Journal od Mathematical Physics (rok: 2021, tom: 62, strony: 72105), Wydawca: AMER INST PHYSICS
    Status:
    Published
    DOI:
    10.1063/5.0009745 - link to the publication
  42. Majorization uncertainty relations for mixed quantum states
    Authors:
    Z. Puchała, Ł. Rudnicki, A. Krawiec and K. Życzkowski
    Academic press:
    Journal of Physics A-Mathematical and Theoretical (rok: 2018, tom: 51, strony: 175306), Wydawca: IOP PUBLISHING LTD
    Status:
    Published
    DOI:
    10.1088/1751-8121/aab66c - link to the publication
  43. Quantum Monge-Kantorovich problem and transport distance between density matrices
    Authors:
    S. Friedland, M. Eckstein, S. Cole, K. Życzkowski
    Academic press:
    Physical Review Letters (rok: 2022, tom: 129, strony: 110402), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevLett.129.110402 - link to the publication
  44. Selfcomplementary quantum channels
    Authors:
    M. Smaczyński, W. Roga and K. Życzkowski
    Academic press:
    Open Systems & Information Dynamics (rok: 2016, tom: 23, strony: 1650001-26), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S1230161216500141 - link to the publication
  45. Separability gap and large-deviation entanglement criterion
    Authors:
    Jakub Czartowski, Konrad Szymański, Bartłomiej Gardas, Yan Fyodorov, Karol Życzkowski
    Academic press:
    Physical Review A (rok: 2019, tom: 100, strony: 42326), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevA.100.042326 - link to the publication
  46. There is no direct generalization of positive partial transpose criterion to the three-by-three case
    Authors:
    Ł. Skowronek
    Academic press:
    Journal of Mathematical Physics (rok: 2016, tom: 57, strony: 112201), Wydawca: AIP
    Status:
    Published
    DOI:
    10.1063/1.4966984 - link to the publication
  47. Dephasing superchannels
    Authors:
    Z. Puchała, K. Korzekwa, R. Salazar, P. Horodecki, K. Życzkowski
    Academic press:
    Physical Review A (rok: 2021, tom: 104, strony: 52611), Wydawca: AMER PHYSICAL SOC
    Status:
    Published
    DOI:
    10.1103/PhysRevA.104.052611 - link to the publication
  48. Distinguishing classically indistinguishable states and channels
    Authors:
    Kamil Korzekwa, Stanisław Czachórski, Zbigniew Puchała, Karol Życzkowski
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2019, tom: 52, strony: 475303), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/1751-8121/ab30f7 - link to the publication
  49. Extension of the Set of Complex Hadamard Matrices of Size 8
    Authors:
    Wojciech T. Bruzda
    Academic press:
    Mathematics in Computer Science (rok: 2018, tom: 12, strony: 459–464), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007%2Fs11786-018-0379-8 - link to the publication
  50. Genuinely quantum SudoQ and its cardinality
    Authors:
    Jerzy Paczos, Marcin Wierzbiński, Grzegorz Rajchel-Mieldzioć, Adam Burchardt, Karol Życzkowski
    Academic press:
    Physical Review A (rok: 2021, tom: 104, strony: 42420), Wydawca: AMER PHYSICAL SOC
    Status:
    Published
    DOI:
    10.48550/arXiv.2106.02967 - link to the publication
  51. Impact of local dynamics on entangling power
    Authors:
    B. Jonnadula, P. Mandayam, K. Życzkowski and A. Lakshminarayan
    Academic press:
    Physical Review A (rok: 2017, tom: 95, strony: 040302(R)), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevA.95.040302 - link to the publication
  52. Local hidden variable values without optimization procedures
    Authors:
    D. Goyeneche, W. Bruzda, O. Turek, D. Alsina, K. Życzkowski
    Academic press:
    Quantum (rok: 2023, tom: 7, strony: 911), Wydawca: VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF
    Status:
    Published
    DOI:
    10.48550/arXiv.2004.00695 - link to the publication
  53. Multipartite entanglement for informationally complete quantum measurements
    Authors:
    J. Czartowski, D. Goyeneche, K. Życzkowski
    Academic press:
    Journal of Physics A-Mathematical and Theoretical (rok: 2018, tom: 51, strony: 305302), Wydawca: IOP PUBLISHING LTD
    Status:
    Published
    DOI:
    10.1088/1751-8121/aac973 - link to the publication
  54. Pauli semigroups and unistochastic quantum channels
    Authors:
    Zbigniew Puchała, Łukasz Rudnicki, Karol Życzkowski
    Academic press:
    Physics Letters A (rok: 2019, tom: 383, strony: 2376-2381), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physleta.2019.04.057 - link to the publication
  55. Quantum Optimal Transport
    Authors:
    S. Cole, M. Eckstein, S. Friedland, K. Życzkowski
    Academic press:
    Mathematical Physics, Analysis and Geometry (rok: 2023, tom: 26, strony: 14), Wydawca: Springer
    Status:
    Published
    DOI:
    10.48550/arXiv.2105.06922 - link to the publication
  56. Thirty-six entangled officers of Euler
    Authors:
    S. A. Rather, A. Burchardt, W. Bruzda, G. Rajchel-Mieldzioć, A. Lakshminarayan, K. Życzkowski
    Academic press:
    Physical Review Letters (rok: 2022, tom: 128, strony: 80507), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevLett.128.080507 - link to the publication

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