Gaussian quantum data hiding

TL;DR

This paper investigates quantum data hiding using Gaussian states and operations, introducing new schemes for hiding classical bits with Gaussian local operations and general Gaussian measurements, expanding the understanding of quantum data hiding in continuous-variable systems.

Contribution

It introduces novel quantum data hiding schemes utilizing Gaussian local operations and general Gaussian measurements, expanding the scope of data hiding in continuous-variable quantum systems.

Findings

Data hiding with Gaussian local operations and classical communication is feasible.

Effective data hiding states are constructed using two-mode thermal states.

The schemes work well in the weak measurement strength limit.

Abstract

Quantum data hiding encodes a hidden classical bit to a pair of quantum states that is difficult to distinguish using a particular set of measurement, denoted as $M$. In this work, we explore quantum data hiding in two contexts involving Gaussian operations or states. First, we consider the set of measurement $M$ as Gaussian local quantum operations and classical communication, a new set of operations not previously discussed in the literature for data hiding. We hide one classical bit in the two different mixture of displaced two-mode squeezed states. Second, we consider the set of measurement $M$ as general Gaussian measurement and construct the data hiding states using two-mode thermal states. This data hiding scheme is effective in the weak strength limit, providing a new example compared to existing discussions for the set of general Gaussian measurement.