P R O J E C T   V E G A
QUICOST VEGA 2/0125/13

Title: Quantum-informational convex structures
Duration: 01//01/2013 - 31/12/2015
Principal Investigator: Dr. Michal Sedlák

Project Goals: The primary objective of the project is an analysis of convex quantum structures such as, e.g., quantum combs, but also of convex structures of a wider class of probabilistic theories, e.g. for so-called process matrices. More specifically, the project aims at identification of extremal elements of the respective sets and the concept of joint measurability of their elements. This abstract investigation is motivated by applications in quantum information processing, which constitute the second objective of the present project. We will, for instance, find optimal designs for the so-called heralded protocols for quantum cloning and quantum learning of general quantum structures (not only states) in the respective part of the project. We will also investigate asymptotical properties of discrimination tasks, such as Chernoff bound for quantum channels.

Researchers: Michal Sedlák, Peter Rapčan, Mário Ziman, Anna Jenčová (MU SAV), Jozef Genzor, Libor Caha, Sergey N. Philippov,

  1. Michal Sedlák, Daniel Reitzner, Giulio Chiribella, Mário Ziman: Incompatible measurements on quantum causal networks, Phys. Rev. A 93, 052323 (2016) [arXiv:1511.00976]
  2. Teiko Heinosaari, Takayuki Miyadera, Mário Ziman: An Invitation to Quantum Incompatibility, Journal of Physics A 49, 123001 (2016) [arXiv:1511.07548]
  3. Tomáš Rybár, Mário Ziman: Process estimation in presence of time-invariant memory effects, Phys. Rev. A 92, 042315 (2015) [arXiv:1409.4268]
  4. Zbigniew Puchała, Anna Jencova, Michal Sedlák, Mário Ziman: Exploring boundaries of quantum convex structures: special role of unitary processes, Phys. Rev. A 92, 012304 (2015) [arXiv:1504.00477]