Gaussian quantum data hiding

• URL: http://arxiv.org/abs/2502.00670v1
• Date: Sun, 02 Feb 2025 04:46:00 GMT
• Title: Gaussian quantum data hiding
• Authors: Yunkai Wang, Graeme Smith,
• Abstract summary: 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 $M$.
• Score: 4.9684872842145875
• License:
• 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.

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