Noncommutative graphs and quantum error correction for a twomode quantum oscillator
Abstract
An important topic in quantum information is the theory of error correction codes. Practical situations often involve quantum systems with states in an infinite dimensional Hilbert space, for example coherent states. Motivated by these practical needs, we apply the theory of noncommutative graphs, which is a tool to analyze error correction codes, to infinite dimensional Hilbert spaces. As an explicit example, a family of noncommutative graphs associated with the Schrödinger equation describing the dynamics of a twomode quantum oscillator is constructed and maximal quantum anticliques for these graphs are found.
 Publication:

arXiv eprints
 Pub Date:
 October 2019
 arXiv:
 arXiv:1910.08935
 Bibcode:
 2019arXiv191008935A
 Keywords:

 Quantum Physics
 EPrint:
 13 pages