Unextendible maximally entangled bases and mutually unbiased bases in multipartite systems

Abstract

We generalize the notion of unextendible maximally entangled basis from bipartite systems to multipartite quantum systems. It is proved that there do not exist unextendible maximally entangled bases in three-qubit systems. Moreover,two types of unextendible maximally entangled bases are constructed in tripartite quantum systems and proved to be not mutually unbiased.

References in corpus (5)

• Maximally multipartite entangled states
• Absolutely maximally entangled states of seven qubits do not exist
• Unextendible maximally entangled bases in ${\mathbb{C}}^d⨂{\mathbb{C}}^{d^{\prime }}$
• Unextendible entangled bases with fixed Schmidt number
• Constructing UMEB from maximally entangled basis

Cited by in corpus (5)

• Unextendible Maximally Entangled Bases in ${\mathbb{C}}^{pd}\otimes {\mathbb{C}}^{qd}$
• Separability and entanglement in superpositions of quantum states
• Unextendible entangled bases and more nonlocality with less entanglement
• Local indistinguishability and incompleteness of entangled orthogonal bases: Method to generate two-element locally indistinguishable ensembles
• Novel Constructions of Mutually Unbiased Tripartite Absolutely Maximally Entangled Bases