English

The binegativity of two qubits

Quantum Physics 2017-02-13 v3

Abstract

We introduce an entanglement-related quantity that we call the binegativity. Based on numerical evidence, we conjecture that the binegativity is an entanglement measure for two-qubit states. The binegativity is compared to the concurrence and negativity, the only known entanglement measures that can be computed analytically for all two-qubit states. The ordering of entangled two-qubit mixed states induced by the binegativity is distinct from the ordering determined by previously known measures, yielding possible new insights into the structure of entangled two-qubit mixed states.

Keywords

Cite

@article{arxiv.1701.02724,
  title  = {The binegativity of two qubits},
  author = {Mark W. Girard and Gilad Gour},
  journal= {arXiv preprint arXiv:1701.02724},
  year   = {2017}
}

Comments

7 pages, 3 figures. Comments welcome. (v3: previous versions contained an erroneous proof claiming that the binegativity is a monotone.)

R2 v1 2026-06-22T17:46:32.648Z