13 papers
Quantum Doeblin Coefficients: Interpretations and Applications
Ian George, Christoph Hirche, Theshani Nuradha +1
In classical information theory, the Doeblin coefficient of a classical channel provides an efficiently computable upper bound on the total-variation contraction coefficient of the…
Dual-VQE: A quantum algorithm to lower bound the ground-state energy
Hanna Westerheim, Jingxuan Chen, Zoë Holmes +6
The variational quantum eigensolver (VQE) is a hybrid quantum-classical variational algorithm that produces an upper-bound estimate of the ground-state energy of a Hamiltonian. As…
Query complexities of quantum channel discrimination and estimation: A unified approach
Zixin Huang, Johannes Jakob Meyer, Theshani Nuradha +1
The goal of quantum channel discrimination and estimation is to determine the identity of an unknown channel from a discrete or continuous set, respectively. The query complexity o…
Privacy-Utility Tradeoffs in Quantum Information Processing
Theshani Nuradha, Sujeet Bhalerao, Felix Leditzky
When sensitive information is encoded in data, it is important to ensure the privacy of information when attempting to learn useful information from the data. There is a natural tr…
Information Contraction under -Differentially Private Mechanisms
Theshani Nuradha, Ian George, Christoph Hirche
The distinguishability quantified by information measures after being processed by a private mechanism has been a useful tool in studying various statistical and operational tasks…
When Does Quantum Differential Privacy Compose?
Daniel Alabi, Theshani Nuradha
Composition is a cornerstone of classical differential privacy, enabling strong end-to-end guarantees for complex algorithms through composition theorems (e.g., basic and advanced)…