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Contraction of Private Quantum Channels and Private Quantum Hypothesis Testing
To this end, here we establish upper bounds on contraction coefficients for the hockey-stick divergence under privacy constraints, where privacy is quantified with respect to the quantum local differential privacy (QLDP) framework, and we fully characterize the contraction coefficient for the trace distance under privacy constraints.
An invitation to the sample complexity of quantum hypothesis testing
By making use of the wealth of knowledge that already exists in the literature on QHT, we characterize the sample complexity of binary QHT in the symmetric and asymmetric settings, and we provide bounds on the sample complexity of multiple QHT.
Quantum Pufferfish Privacy: A Flexible Privacy Framework for Quantum Systems
We propose a versatile privacy framework for quantum systems, termed quantum pufferfish privacy (QPP).
k-Sliced Mutual Information: A Quantitative Study of Scalability with Dimension
However, a quantitative characterization of how SMI itself and estimation rates thereof depend on the ambient dimension, which is crucial to the understanding of scalability, remain obscure.
