Upper bound on three tangles of reduced states of four-qubit pure states

Abstract

Closed formulae for upper bound on three tangles of three-qubit reduced states in terms of three-qubit invariant polynomials of pure four-qubit states are obtained. Our results offer tighter constraints on total three-way entanglement of a given qubit with the rest of the system than those used in ref. [PRL 113, 110501 (2014), PRL 116, 049902(E) (2016)] to verify monogamy of four-qubit quantum entanglement.

12 pages, Application to mixed states of our our earlier work on local unitary polynomial invariants of pure states. A section on finding upper bound on three tangle of an arbitrary mixed state added. In this version, typos corrected

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Cited by in corpus (3)

• Vector Properties of Entanglement in a Three-Qubit System
• On Monogamy of four qubit entanglement
• Monogamy constraints on entanglement of four-qubit pure states