Entanglement witnesses from mutually unbiased measurements

TL;DR

This paper introduces a new family of entanglement witnesses based on mutually unbiased measurements, expanding the tools for detecting quantum entanglement with properties linked to measurement characteristics.

Contribution

It presents a novel family of positive, trace-preserving maps derived from mutually unbiased measurements, enabling the construction of entanglement witnesses with adjustable indecomposability.

Findings

New family of positive, trace-preserving maps introduced

Entanglement witnesses with properties depending on measurement characteristics

Potential applications in quantum entanglement detection

Abstract

A new family of positive, trace-preserving maps is introduced. It is defined using the mutually unbiased measurements, which generalize the notion of mutual unbiasedness of orthonormal bases. This family allows one to define entanglement witnesses whose indecomposability depends on the characteristics of the associated measurement operators.