Quantum error-correction codes and absolutely maximally entangled states
Paweł Mazurek , Máté Farkas , Andrzej Grudka , Michał Horodecki , Michał Studziński
AbstractFor every stabilizer N-qudit absolutely maximally entangled state, we present a method for determining the stabilizer generators and logical operators of a corresponding quantum error-correction code. These codes encode k qudits into N - k qudits, with k <= left perpendicular N/2 right perpendicular, where the local dimension d is prime. We use these methods to analyze the concatenation of such quantum codes and link this procedure to entanglement swapping. Using our techniques, we investigate the spread of quantum information on a tensor network code formerly used as a toy model for the AdS/CFT correspondence. In this network, we show how corrections arise to the Ryu-Takayanagi formula in the case of entangled input state, and that the bound on the entanglement entropy of the boundary state is saturated for absolutely maximally entangled input states.
|Journal series||Physical Review A, ISSN 2469-9926, e-ISSN 2469-9934, (N/A 100 pkt)|
|Publication size in sheets||0.50|
|Score||= 100.0, 20-07-2020, ArticleFromJournal|
|Publication indicators||= 0.000; : 2017 = 0.886; : 2018 = 2.907 (2) - 2018=2.723 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.