The entropy cones of $W_N$ and $W_N^d$ states

Howard J. Schnitzer

The entropy cones of $W_N$ and $W_N^d$ states

High Energy Physics - Theory 2022-06-22 v3 Quantum Physics

Authors: Howard J. Schnitzer

Abstract

The quantum entropy cones (QEC) for $W_N$ states of qubits and $W_N^d$ states of qudits are computed. These cones emerge as symmetrized quantum entropy cones (SQEC) for arbitrary $N$ and $d$ . Directed graph models are presented which describe the SQEC for $W_N$ states and $W_N^d$ states. Monogamous mutual information (MMI) is violated for all $N>3$ .

Keywords

quantum entropy cone w_n states w_n^d states symmetrized quantum entropy cone directed graph models monogamous mutual information

Cite

@article{arxiv.2204.04532,
  title  = {The entropy cones of $W_N$ and $W_N^d$ states},
  author = {Howard J. Schnitzer},
  journal= {arXiv preprint arXiv:2204.04532},
  year   = {2022}
}

Comments

v3: Entropy cones of $W_N^d$ states added, and title changed

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