vix.ing · top · new · best · stats

Strong monogamy inequalities for four qubits

2016/04/30 by Bartosz Regula, Andreas Osterloh, Gerardo Adesso · 32 citations
Computer Science · Mathematics · Physics and Astronomy · #Bipartite graph #Computer science #Constraint (computer-aided design) #Discrete mathematics #Extension (predicate logic) #Inequality #Mathematical analysis #Mathematics #Multipartite #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Qubit #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1103/physreva.93.052338

published in Physical Review A 93(5) (American Physical Society) · 6 pages, 4 figures. Published version

openalex publication_date 2016/05/31 · arxiv created 2016/06/01 · arxiv updated 2016/06/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate possible generalizations of the Coffman-Kundu-Wootters monogamy inequality to four qubits, accounting for multipartite entanglement in addition to the bipartite terms. We show that the most natural extension of the inequality does not hold in general, and we describe the violations of this inequality in detail. We investigate alternative ways to extend the monogamy inequality to express a constraint on entanglement sharing valid for all four-qubit states, and perform an extensive numerical analysis of randomly generated four-qubit states to explore the properties of such extensions.

Citations

Cited by

Related