P R O J E C T   M A X A P
MAXAP VEGA 2/0173/17

Title: Memory and causal structures and applications in quantum information processing
Duration: 01/01/2017 - 31/12/2019
Principal Investigator: Dr. Mário Ziman

Project Goals: Control of quantum dynamics is crucial for successful implementation of the ideas of quantum information processing. This project focuses on the role of memory effects and causality in the framework of quantum dynamics and their exploitation in qualitatively novel applications of quantum information processing. In particular, we will investigate mathematical structures of open system dynamical maps (induced by master equations generalizing the Schrodinger equations), develop resource theory for programmable quantum processors, identification of the microscopic essence of non-Markovianity, analyze benefits of non-causal probabilistic framework of quantum dynamics for information processing, and design verification protocols for detection of interesting memory features.

Researchers: Vladimír Bužek, Daniel Reitzner, Michal Sedlák, Peter Rapčan, Tomáš Rybár, Mário Ziman, Shivang Srivastava, Daniel Nagaj, Jaroslav Pavličko

  1. David Davalos, Mário Ziman, Carlos Pineda: Divisibility of qubit channels and dynamical maps [arXiv:1812.11437]
  2. Michal Sedlák, Alessandro Bisio, Mário Ziman: Optimal probabilistic storage and retrieval of unitary channels [arXiv:1809.04552]
  3. Michal Sedlák, Alessandro Bisio: On some new hook-content identities [arXiv:1809.02008]
  4. Libor Caha, Daniel Nagaj: The pair-flip model: a very entangled translationally invariant spin chain [arXiv:1805.07168]
  5. Martin Plávala, Mário Ziman: Popescu-Rohrlich box implementation in general probabilistic theory of processes [arXiv:1708.07425]
  6. Daniel Reitzner, Mark Hillery: Grover Search under Localized Dephasing Phys. Rev. A 99, 012339 (2019) [arXiv:1712.06558]
  7. Sanjaye Ramgoolam, Michal Sedlák: Quantum Information Processing and Composite Quantum Fields J. High Energ. Phys. 2019, 170 (2019) [arXiv:1809.05156]
  8. Sergey N. Filippov, Jyrki Piilo, Sabrina Maniscalco, Mário Ziman: Divisibility of quantum dynamical maps and collision models Phys. Rev. A 96, 032111 (2017) [arXiv:1708.04994]