Department of Computer Science AGH and IBM Software Laboratory in Krakow invite to Krakow Quantum Informatics Seminar (KQIS)
•    understand and discuss current problems in quantum informatics,
•    discuss new quantum computing technologies,
•    exchange ideas and research results,
•    integrate information across different research teams,
•    build a community around quantum informatics.
Venue:  via Internet, Webex

Tuesday, 27th of October, 2020, 9:30-11:00

Adam Burchardt - Institute of Physics, Jagiellonian University; ul Lojasiewicza 11, 30-348 Krakow, Poland

Topic: Absolutely Maximally Entangled states and quantum combinatorial designs



Absolutely Maximally Entangled (AME) states are maximally entangled for every bipartition of the system. They are crucial resources for various quantum information protocols. 
We present techniques for verifying either two AME states are equivalent concerning Stochastic Local Operations and Classical Communication (SLOCC). The conjecture that for a given multipartite quantum system all AME states are SLOCC-equivalent is falsified.
We also show that the existence of AME states with minimal support of 6 or more particles results in the existence of infinitely many such non-SLOCC-equivalent states.
Moreover, we present AME states which are not SLOCC-equivalent to the existing AME states with minimal support.

[1] Dardo Goyeneche, Zahra Raissi, Sara Di Martino, and Karol Życzkowski, Entanglement and quantum combinatorial designs, Phys. Rev. A 97, 062326, June 2018
[2] Adam Burchardt and Zahra Raissi, Stochastic local operations with classical communication of absolutely maximally entangled states, Phys. Rev. A 102, 022413, August 2020

  • 3 years, 8 months ago