A Note on Mutually Unbiased Unextendible Maximally Entangled Bases in $\mathbb{C}^{2}\bigotimes \mathbb{C}^{3}$

TL;DR

This paper investigates the construction of mutually unbiased unextendible maximally entangled bases in a specific quantum system, providing necessary conditions and explicit examples to advance understanding in quantum entanglement and basis design.

Contribution

It introduces necessary conditions and explicit examples for mutually unbiased unextendible maximally entangled bases in ^{2}igotimes^{3}, a novel contribution to quantum basis construction.

Findings

Derived necessary conditions for constructing such bases.

Presented explicit examples of mutually unbiased unextendible maximally entangled bases.

Enhanced understanding of entangled basis structures in ^{2}igotimes^{3}.

Abstract

We systematically study the construction of mutually unbiased bases in $\mathbb{C}^{2}\bigotimes\mathbb{C}^{3}$, such that all the bases are unextendible maximally entangled ones. Necessary conditions of constructing a pair of mutually unbiased unextendible maximally entangled bases in $\mathbb{C}^{2}\bigotimes\mathbb{C}^{3}$ are derived. Explicit examples are presented.