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 develop the theory of non-commutative graphs, which is a tool to analyze error correction codes, to infinite-dimensional Hilbert spaces. As an explicit example, a family of non-commutative graphs associated with the Schrodinger equation describing the dynamics of a two-mode quantum oscillator is constructed and maximal quantum anticliques for these graphs are found.

Original languageEnglish
Article number95
Number of pages12
JournalQuantum Information Processing
Volume19
Issue number3
DOIs
StatePublished - 1 Feb 2020

    Research areas

  • Quantum error correction, Non-commutative graphs, Quantum anticliques, Quantum oscillator, Two-mode field, Coherent states

ID: 73209411