Criteria for reliable entanglement quantification with finite data

TL;DR

This paper introduces criteria based on Bayesian analysis to determine the number of measurements required for reliable entanglement quantification, demonstrated on four-qubit systems with straightforward extensions.

Contribution

It presents novel Bayesian-based criteria for assessing measurement sufficiency in entanglement quantification, applicable to multi-qubit systems.

Findings

Criteria effectively determine measurement needs for reliable entanglement estimates

Application to four-qubit entanglement demonstrates practical utility

Framework easily generalizes to larger quantum systems

Abstract

We propose one and a half criteria for determining how many measurements are needed to quantify entanglement reliably. We base these criteria on Bayesian analysis of measurement results, and apply our methods to four-qubit entanglement, but generalizations to more qubits are straightforward.