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We show that, if the accessible information is used as a security quantifier, quantum channels with a certain symmetry can convey private messages at a tremendously high rate, as high as less than one bit below the rate of non-private…

Quantum Physics · Physics 2015-04-01 Cosmo Lupo , Seth Lloyd

Consider the following Simultaneous Message Passing (SMP) model for computing a relation f subset of X x Y x Z. In this model Alice, on input x in X and Bob, on input y in Y, send one message each to a third party Referee who then outputs a…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-02-26 Rahul Jain , Hartmut Klauck

Information spreads in time. For example, correlations dissipate when the correlated system locally couples to a third party, such as the environment. This simple but important fact forms the known quantum data-processing inequality. Here…

Quantum Physics · Physics 2024-03-15 Kun Zhang , Jin Wang

It is known that the maximum classical mutual information that can be achieved between measurements on a pair of quantum systems can drastically underestimate the quantum mutual information between those systems. In this article, we…

Quantum Physics · Physics 2014-09-08 Frédéric Dupuis , Jan Florjanczyk , Patrick Hayden , Debbie Leung

We investigate the randomized and quantum communication complexities of the well-studied Equality function with small error probability $\epsilon$, getting optimal constant factors in the leading terms in a number of different models. In…

Quantum Physics · Physics 2023-10-19 Olivier Lalonde , Nikhil S. Mande , Ronald de Wolf

Information leakage rate is an intuitive metric that reflects the level of security in a wireless communication system, however, there are few studies taking it into consideration. Existing work on information leakage rate has two major…

Cryptography and Security · Computer Science 2018-07-23 Yong Huang , Wei Wang , Biao He , Liang Sun , Tao Jiang

Communication complexity is a fundamental aspect of information science, concerned with the amount of communication required to solve a problem distributed among multiple parties. The standard quantification of one-way communication…

Quantum Physics · Physics 2024-12-25 Satyaki Manna , Anubhav Chaturvedi , Debashis Saha

Pointwise maximal leakage (PML) is an operationally meaningful privacy measure that quantifies the amount of information leaking about a secret $X$ to a single outcome of a related random variable $Y$. In this paper, we extend the notion of…

Information Theory · Computer Science 2023-04-18 Sara Saeidian , Giulia Cervia , Tobias J. Oechtering , Mikael Skoglund

In this work, the probability of an event under some joint distribution is bounded by measuring it with the product of the marginals instead (which is typically easier to analyze) together with a measure of the dependence between the two…

Information Theory · Computer Science 2020-10-22 Amedeo Roberto Esposito , Michael Gastpar , Ibrahim Issa

This paper technically explores the secrecy rate $\Lambda$ and a maximisation problem over the concave version of the secrecy outage probability (SOP) as $\mathop{{\rm \mathbb{M}ax}}\limits_{\Delta } {\rm \; } \mathbb{P}\mathscr{r} \big(…

Information Theory · Computer Science 2022-06-15 Makan Zamanipour

Currently most progresses on quantum secret sharing suffer from rate-distance bound, and thus the key rates are limited. In addition to the limited key rate, the technical difficulty and the corresponding cost together prevent large-scale…

Quantum Physics · Physics 2023-10-09 Chen-Long Li , Yao Fu , Wen-Bo Liu , Yuan-Mei Xie , Bing-Hong Li , Min-Gang Zhou , Hua-Lei Yin , Zeng-Bing Chen

We examine the relationship between privacy metrics that utilize information density to measure information leakage between a private and a disclosed random variable. Firstly, we prove that bounding the information density from above or…

Information Theory · Computer Science 2024-02-21 Leonhard Grosse , Sara Saeidian , Parastoo Sadeghi , Tobias J. Oechtering , Mikael Skoglund

We consider information leakage to the user in private information retrieval (PIR) systems. Information leakage can be measured in terms of individual message leakage or total leakage. Individual message leakage, or simply individual…

Information Theory · Computer Science 2020-03-17 Tao Guo , Ruida Zhou , Chao Tian

Data publishing under privacy constraints can be achieved with mechanisms that add randomness to data points when released to an untrusted party, thereby decreasing the data's utility. In this paper, we analyze this privacy-utility tradeoff…

Information Theory · Computer Science 2024-08-28 Leonhard Grosse , Sara Saeidian , Tobias Oechtering

Entanglement and quantum information lie at the root of quantum theory. These remarkable resources are generally believed to diminish when systems carrying them interact with their environment. By contrast, we find that engaging a system…

Quantum Physics · Physics 2025-05-28 Vikesh Siddhu

Two parties wish to carry out certain distributed computational tasks, and they are given access to a source of correlated random bits. It allows the parties to act in a correlated manner, which can be quite useful. But what happens if the…

Computational Complexity · Computer Science 2015-08-27 Mohammad Bavarian , Dmitry Gavinsky , Tsuyoshi Ito

This paper introduces a novel lower bound on communication complexity using quantum relative entropy and mutual information, refining previous classical entropy-based results. By leveraging Uhlmann's lemma and quantum Pinsker inequalities,…

Quantum Physics · Physics 2025-07-29 Fengxia Liu , Zhiyong Zheng , Kun Tian , Yi Zhang , Heng Guo , Zhe Hu , Oleksiy Zhedanov , Zixian Gong

Maximal $\alpha$-leakage is a tunable measure of information leakage based on the accuracy of guessing an arbitrary function of private data based on public data. The parameter $\alpha$ determines the loss function used to measure the…

Information Theory · Computer Science 2019-04-08 Jiachun Liao , Lalitha Sankar , Oliver Kosut , Flavio P. Calmon

The advantages of quantum information processing are in many cases obtained as consequences of quantum interactions, especially for computational tasks where two-qubit interactions are essential. In this work, we establish the framework of…

Quantum Physics · Physics 2019-09-11 Sudipto Singha Roy , Joonwoo Bae

The private simultaneous messages model is a non-interactive version of the multiparty secure computation, which has been intensively studied to examine the communication cost of the secure computation. We consider its quantum counterpart,…

Quantum Physics · Physics 2021-05-18 Akinori Kawachi , Harumichi Nishimura