Quantum data hiding with two-qubit separable states

TL;DR

This paper presents a quantum data-hiding scheme using two-qubit separable states, providing bounds and conditions for local discrimination, making practical implementation more feasible.

Contribution

It introduces a new data-hiding scheme based on two-qubit separable states and establishes conditions for its construction, enhancing practical quantum data hiding.

Findings

Bound on optimal local discrimination of two-party states

Sufficient condition for data-hiding scheme construction

Implementation with minimal-dimensional separable states

Abstract

We consider the discrimination of two-party quantum states and provide a quantum data-hiding scheme using two-qubit separable states. We first provide a bound on the optimal local discrimination of two-party quantum states, and establish a sufficient condition under which a two-party quantum state ensemble can be used to construct a data-hiding scheme. We illustrate this condition with examples of two-qubit state ensembles consisting of two orthogonal separable states. As our data-hiding scheme can be implemented with separable states of the lowest possible dimension, its practical realization becomes significantly more attainable.