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Differential privacy has been an exceptionally successful concept when it comes to providing provable security guarantees for classical computations. More recently, the concept was generalized to quantum computations. While classical…

Quantum Physics · Physics 2023-04-07 Christoph Hirche , Cambyse Rouzé , Daniel Stilck França

Differential privacy is a widely used notion of security that enables the processing of sensitive information. In short, differentially private algorithms map "neighbouring" inputs to close output distributions. Prior work proposed several…

Quantum Physics · Physics 2023-07-11 Armando Angrisani , Mina Doosti , Elham Kashefi

Differential privacy is a de facto standard in data privacy, with applications in the public and private sectors. A way to explain differential privacy, which is particularly appealing to statistician and social scientists is by means of…

Machine Learning · Computer Science 2023-08-28 Borja Balle , Gilles Barthe , Marco Gaboardi , Justin Hsu , Tetsuya Sato

Differential privacy, a notion of algorithmic stability, is a gold standard for measuring the additional risk an algorithm's output poses to the privacy of a single record in the dataset. Differential privacy is defined as the distance…

Machine Learning · Computer Science 2019-07-05 Kamalika Chaudhuri , Jacob Imola , Ashwin Machanavajjhala

Theoretical and applied research into privacy encompasses an incredibly broad swathe of differing approaches, emphasis and aims. This work introduces a new quantitative notion of privacy that is both contextual and specific. We argue that…

Statistics Theory · Mathematics 2026-03-05 Cameron Bell , Timothy Johnston , Antoine Luciano , Christian P Robert

We study quantum differential privacy (QDP) by defining a notion of the order of informativeness between pairs of quantum states. In particular, we show that if the hypothesis testing divergence of one pair dominates over that of the other…

Quantum Physics · Physics 2026-02-04 Naqueeb Ahmad Warsi , Ayanava Dasgupta , Masahito Hayashi

Differential privacy is widely considered the formal privacy for privacy-preserving data analysis due to its robust and rigorous guarantees, with increasingly broad adoption in public services, academia, and industry. Despite originating in…

Statistics Theory · Mathematics 2024-12-05 Weijie J. Su

Quantum statistical queries provide a theoretical framework for investigating the computational power of a learner with limited quantum resources. This model is particularly relevant in the current context, where available quantum devices…

Quantum Physics · Physics 2025-11-18 Armando Angrisani , Elham Kashefi

Differential privacy is a precise mathematical constraint meant to ensure privacy of individual pieces of information in a database even while queries are being answered about the aggregate. Intuitively, one must come to terms with what…

Information Theory · Computer Science 2016-08-15 Paul Cuff , Lanqing Yu

Differential privacy is a definition of "privacy'" for algorithms that analyze and publish information about statistical databases. It is often claimed that differential privacy provides guarantees against adversaries with arbitrary side…

Cryptography and Security · Computer Science 2023-01-24 Shiva Prasad Kasiviswanathan , Adam Smith

Differential privacy offers formal quantitative guarantees for algorithms over datasets, but it assumes attackers that know and can influence all but one record in the database. This assumption often vastly overapproximates the attackers'…

Cryptography and Security · Computer Science 2020-12-01 Damien Desfontaines , Esfandiar Mohammadi , Elisabeth Krahmer , David Basin

In this paper, we consider privacy against hypothesis testing adversaries within a non-stochastic framework. We develop a theory of non-stochastic hypothesis testing by borrowing the notion of uncertain variables from non-stochastic…

Information Theory · Computer Science 2019-04-17 Farhad Farokhi

While quantum computing has strong potential in data-driven fields, the privacy issue of sensitive or valuable information involved in the quantum algorithm should be considered. Differential privacy (DP), which is a fundamental privacy…

Quantum Physics · Physics 2024-08-15 Yusheng Zhao , Hui Zhong , Xinyue Zhang , Yuqing Li , Chi Zhang , Miao Pan

Differential privacy allows bounding the influence that training data records have on a machine learning model. To use differential privacy in machine learning, data scientists must choose privacy parameters $(\epsilon,\delta)$. Choosing…

Cryptography and Security · Computer Science 2021-07-21 Daniel Bernau , Günther Eibl , Philip W. Grassal , Hannah Keller , Florian Kerschbaum

Privacy against an adversary (AD) that tries to detect the underlying privacy-sensitive data distribution is studied. The original data sequence is assumed to come from one of the two known distributions, and the privacy leakage is measured…

Information Theory · Computer Science 2019-03-12 Zuxing Li , Tobias J. Oechtering , Deniz Gunduz

Differential privacy provides a theoretical framework for processing a dataset about $n$ users, in a way that the output reveals a minimal information about any single user. Such notion of privacy is usually ensured by noise-adding…

Quantum Physics · Physics 2023-08-23 Armando Angrisani , Mina Doosti , Elham Kashefi

Differential privacy is a recent notion of privacy for statistical databases that provides rigorous, meaningful confidentiality guarantees, even in the presence of an attacker with access to arbitrary side information. We show that for a…

Cryptography and Security · Computer Science 2008-09-30 Adam Smith

We consider a private hypothesis testing scenario, including both symmetric and asymmetric testing, based on classical data samples. The utility is measured by the error exponents, namely the Chernoff information and the relative entropy,…

Quantum Physics · Physics 2025-09-01 Seung-Hyun Nam , Hyun-Young Park , Si-Hyeon Lee , Joonwoo Bae

Privacy concerns have led to the development of privacy-preserving approaches for learning models from sensitive data. Yet, in practice, even models learned with privacy guarantees can inadvertently memorize unique training examples or leak…

Machine Learning · Statistics 2019-11-11 Mario Diaz , Peter Kairouz , Jiachun Liao , Lalitha Sankar

We show that the tasks of privacy amplification against quantum adversaries and data compression with quantum side information are dual in the sense that the ability to perform one implies the ability to perform the other. These are two of…

Quantum Physics · Physics 2011-06-10 Joseph M. Renes
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