Quantum State Combinatorics

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Abstract

This paper concerns the analysis of large quantum states. It is a notoriously difficult problem to quantify separability of quantum states, and for large quantum states, it is unfeasible. Here we posit that when quantum states are large, we can deduce reasonable expectations for the complex structure of non-classical multipartite correlations with surprisingly little information about the state. We show, with pegagogical examples, how known results from combinatorics can be used to reveal the expected structure of various correlations hidden in the ensemble described by a state.

Original languageEnglish (US)
Article number764
JournalEntropy
Volume26
Issue number9
DOIs
StatePublished - Sep 2024

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Mathematical Physics
  • Physics and Astronomy (miscellaneous)
  • General Physics and Astronomy
  • Electrical and Electronic Engineering

Keywords

  • combinatorics
  • multipartite entanglement
  • quantum states
  • random graphs
  • separability

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