Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Optimality, universality and controllability in quantum computation theory

2015/18/E/ST1/00200

Keywords:

control theory quantum computing universal gates beamsplitters Lie groups Lie algebras algebraic number theory

Descriptors:

  • ST1_12: Mathematical methods of physics
  • ST1_17: Applied mathematics
  • ST2_15: Metrology and measurement methods

Panel:

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

Host institution :

Centrum Fizyki Teoretycznej PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Adam Sawicki 

Number of co-investigators in the project: 3

Call: SONATA BIS 5 - announced on 2015-06-15

Amount awarded: 822 000 PLN

Project start date (Y-m-d): 2016-04-12

Project end date (Y-m-d): 2022-04-11

Project duration:: 72 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.

Information in the final report

  • Publication in academic press/journals (10)
  1. Universality verification for a set of quantum gates
    Authors:
    Adam Sawicki, Lorenzo Mattioli, and Zoltán Zimborás
    Academic press:
    PHYSICAL REVIEW A (rok: 2022, tom: 105, strony: 52602), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevA.105.052602 - link to the publication
  2. Asymptotic properties of entanglement polytopes for large number of qubits
    Authors:
    Tomasz Maciążek, Adam Sawicki
    Academic press:
    J. Phys. A: Math. Theor (rok: 2018, tom: 51, strony: 07LT01), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1751-8121/aaa4d7 - link to the publication
  3. Universality of single qudit gates
    Authors:
    Adam Sawicki, Katarzyna Karnas
    Academic press:
    Annales Henri Poincaré (rok: 2017, tom: 18, strony: 3515-3552), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-017-0604-z - link to the publication
  4. A link between symmetries of critical states and the structure of SLOCC classes in multipartite systems
    Authors:
    Oskar Słowik, Martin Hebenstreit, Barbara Kraus, Adam Sawicki
    Academic press:
    Quantum (rok: 2020, tom: 4, strony: 300), Wydawca: Quantum
    Status:
    Published
    DOI:
    10.22331/q-2020-07-20-300 - link to the publication
  5. Criteria for universality of quantum gates
    Authors:
    Adam Sawicki, Katarzyna Karnas
    Academic press:
    Physical Review A (rok: 2017, tom: 95, strony: 62303), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevA.95.062303 - link to the publication
  6. Non-abelian quantum statistics on graphs
    Authors:
    Tomasz Maciążek, Adam Sawicki
    Academic press:
    Commun. Math. Phys. (rok: 2019, tom: 371, strony: 921-973), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00220-019-03583-5 - link to the publication
  7. When is a product of finite order qubit gates of infinite order?
    Authors:
    Katarzyna Karnas, Adam Sawicki
    Academic press:
    J. Phys. A: Math. Theor (rok: 2018, tom: 5, strony: 75305), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1751-8121/aa91db - link to the publication
  8. On the Universality and Membership problems for quantum gates
    Authors:
    Lorenzo Mattioli, Adam Sawicki
    Academic press:
    Journal of Mathematical Physics (rok: 2022, ), Wydawca: APS
    Status:
    Submitted
    DOI:
    brak - link to the publication
  9. Designing locally maximally entangled quantum states with arbitrary local symmetries
    Authors:
    T. Maciążek, A. Sawicki and O. Słowik
    Academic press:
    Quantum (rok: 2021, tom: 5, strony: 450), Wydawca: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
    Status:
    Published
    DOI:
    10.22331/q-2021-05-01-450 - link to the publication
  10. Epsilon-nets, unitary designs and random quantum circuits
    Authors:
    Michał Oszmaniec, Adam Sawicki, Michał Horodecki
    Academic press:
    IEEE Transactions on Information Theory (rok: 2022, tom: 68, strony: 989-1015), Wydawca: IEEE
    Status:
    Published
    DOI:
    10.1109/TIT.2021.3128110 - link to the publication

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