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We study a hypothesis testing problem with a privacy constraint over a noisy channel and derive the performance of optimal tests under the Neyman-Pearson criterion. The fundamental limit of interest is the privacy-utility tradeoff (PUT)…

Information Theory · Computer Science 2021-05-28 Lin Zhou , Daming Cao

Perhaps the single most important use case for differential privacy is to privately answer numerical queries, which is usually achieved by adding noise to the answer vector. The central question, therefore, is to understand which noise…

Machine Learning · Statistics 2021-03-17 Jinshuo Dong , Weijie J. Su , Linjun Zhang

In classical two-party computation, a trusted initializer who prepares certain initial correlations, known as one-time tables, can help make the inputs of both parties information-theoretically secure. We propose some bipartite quantum…

Quantum Physics · Physics 2021-04-20 Li Yu

We study a model of communication complexity that encompasses many well-studied problems, including classical and quantum communication complexity, the complexity of simulating distributions arising from bipartite measurements of shared…

Quantum Physics · Physics 2011-07-08 Julien Degorre , Marc Kaplan , Sophie Laplante , Jérémie Roland

Suppose we would like to know all answers to a set of statistical queries C on a data set up to small error, but we can only access the data itself using statistical queries. A trivial solution is to exhaustively ask all queries in C. Can…

Data Structures and Algorithms · Computer Science 2011-10-28 Anupam Gupta , Moritz Hardt , Aaron Roth , Jonathan Ullman

We consider the problem of secret key agreement in Gaussian Maurer's Model. In Gaussian Maurer's model, legitimate receivers, Alice and Bob, and a wire-tapper, Eve, receive signals randomly generated by a satellite through three independent…

Information Theory · Computer Science 2009-03-12 Masashi Naito , Shun Watanabe , Ryutaroh Matsumoto , Tomohiko Uyematsu

This paper considers the problem of secret communication over a multiple access channel with generalized feedback. Two trusted users send independent confidential messages to an intended receiver, in the presence of a passive eavesdropper.…

Information Theory · Computer Science 2016-11-18 Xiaojun Tang , Ruoheng Liu , Predrag Spasojevic , H. Vincent Poor

Insights from quantum information theory show that correlation measures based on quantum entropy are fundamental tools that reveal the entanglement structure of multipartite states. In that spirit, Groisman, Popescu, and Winter [Physical…

Quantum Physics · Physics 2018-08-02 Mario Berta , Fernando G. S. L. Brandao , Christian Majenz , Mark M. Wilde

One way to diagnose chaos in bipartite unitary channels is via the tripartite information of the corresponding Choi state, which for certain choices of the subsystems reduces to the negative conditional mutual information (CMI). We study…

Quantum Physics · Physics 2017-01-25 Dawei Ding , Patrick Hayden , Michael Walter

After carrying out a protocol for quantum key agreement over a noisy quantum channel, the parties Alice and Bob must process the raw key in order to end up with identical keys about which the adversary has virtually no information. In…

Quantum Physics · Physics 2013-01-22 N. Gisin , S. Wolf

In this paper, we study the problem of secret communication over a Compound Multiple Access Channel (MAC). In this channel, we assume that one of the transmitted messages is confidential that is only decoded by its corresponding receiver…

Information Theory · Computer Science 2016-11-17 Hassan Zivari-Fard , Bahareh Akhbari , Mahmoud Ahmadian-Attari , Mohammad Reza Aref

In this paper, we consider the problem of secret key generation with one-way communication through both a rate-limited public channel and a rate-limited secure channels where the public channel is from Alice to Bob and Eve and the secure…

Information Theory · Computer Science 2020-04-13 Yinfei Xu , Daming Cao

The basis of generating secret key from the common wireless channel at two communication parties is reciprocity. However, due to non-simultaneous measurements and unavoidable estimation error, bias always exists and key disagreement occurs.…

Information Theory · Computer Science 2019-02-20 Xinrong Guan , Ning Ding , Yueming Cai , Weiwei Yang

This paper has two messages. First, we demonstrate that neural networks that process noisy data can learn to exploit, when available, access to auxiliary noise that is correlated with the noise on the data. In effect, the network learns to…

Quantum Physics · Physics 2020-09-17 Aida Ahmadzadegan , Petar Simidzija , Ming Li , Achim Kempf

We point out that arguments for the security of Kish's noise-based cryptographic protocol have relied on an unphysical no-wave limit, which if taken seriously would prevent any correlation from developing between the users. We introduce a…

Quantum Physics · Physics 2013-04-01 Charles H. Bennett , C. Jess Riedel

We consider a federated data analytics problem in which a server coordinates the collaborative data analysis of multiple users with privacy concerns and limited communication capability. The commonly adopted compression schemes introduce…

Cryptography and Security · Computer Science 2024-02-02 Richeng Jin , Zhonggen Su , Caijun Zhong , Zhaoyang Zhang , Tony Quek , Huaiyu Dai

Two dual questions in quantum information theory are to determine the communication cost of simulating a bipartite unitary gate, and to determine their communication capacities. We present a bipartite unitary gate with two surprising…

Quantum Physics · Physics 2011-08-04 Aram W. Harrow , Debbie W. Leung

We study and solve the problem of distilling secret key from quantum states representing correlation between two parties (Alice and Bob) and an eavesdropper (Eve) via one-way public discussion: we prove a coding theorem to achieve the…

Quantum Physics · Physics 2007-05-23 Igor Devetak , Andreas Winter

We construct new protocols for the tasks of converting noisy multipartite quantum correlations into noiseless classical and quantum ones using local operations and classical communications (LOCC). For the former, known as common randomness…

Quantum Physics · Physics 2024-09-26 Farzin Salek , Andreas Winter

We consider problems of two-user secret key generation through an intermediate relay. Each user observes correlated source sequences and communicates to the relay over rate-limited noiseless links. The relay processes and broadcasts…

Information Theory · Computer Science 2016-07-27 Kittipong Kittichokechai , Rafael F. Schaefer , Giuseppe Caire