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In order to study multipartite quantum cryptography, we introduce quantities which vanish on product probability distributions, and which can only decrease if the parties carry out local operations or carry out public classical…

Quantum Physics · Physics 2009-11-07 N. J. Cerf , S. Massar , S. Schneider

Secure multi-party computation is a central problem in modern cryptography. An important sub-class of this are problems of the following form: Alice and Bob desire to produce sample(s) of a pair of jointly distributed random variables. Each…

Information Theory · Computer Science 2010-02-10 Vinod Prabhakaran , Manoj Prabhakaran

We consider the problem of secret key extraction when $n$ honest parties and an eavesdropper share correlated information. We present a family of probability distributions and give the full characterization of its distillation properties.…

Cryptography and Security · Computer Science 2007-07-16 Lluis Masanes , Antonio Acin

The problem of secure source coding with multiple terminals is extended by considering a remote source whose noisy measurements are the correlated random variables used for secure source reconstruction. The main additions to the problem…

Information Theory · Computer Science 2022-11-10 Onur Günlü , Rafael F. Schaefer , Holger Boche , H. Vincent Poor

In secure multiparty computation, mutually distrusting users in a network want to collaborate to compute functions of data which is distributed among the users. The users should not learn any additional information about the data of others…

Information Theory · Computer Science 2016-11-15 Deepesh Data , Bikash Kumar Dey , Manoj Mishra , Vinod M. Prabhakaran

Connecting quantum computers to a quantum network opens a wide array of new applications, such as securely performing computations on distributed data sets. Near-term quantum networks are noisy, however, and hence correctness and security…

In this paper we generalize the notion of common information of two dependent variables introduced by G\'acs & K\"orner. They defined common information as the largest entropy rate of a common random variable two parties observing one of…

Information Theory · Computer Science 2016-11-17 Vinod M. Prabhakaran , Manoj M. Prabhakaran

This paper studies the problem of secure communication over a K-transmitter multiple access channel in the presence of an external eavesdropper, subject to a joint secrecy constraint (i.e., information leakage rate from the collection of K…

Information Theory · Computer Science 2017-01-24 Yanling Chen , O. Ozan Koyluoglu , A. J. Han Vinck

Secure sum computation of private data inputs is an interesting example of Secure Multiparty Computation (SMC) which has attracted many researchers to devise secure protocols with lower probability of data leakage. In this paper, we provide…

Cryptography and Security · Computer Science 2010-03-23 Rashid Sheikh , Beerendra Kumar , Durgesh Kumar Mishra

Much research has been conducted to securely outsource multiple parties' data aggregation to an untrusted aggregator without disclosing each individual's data, or to enable multiple parties to jointly aggregate their data while preserving…

Cryptography and Security · Computer Science 2015-11-23 Taeho Jung , XuFei Mao , Xiang-Yang Li , Shaojie Tang , Wei Gong , Lan Zhang

We formalize the simulation paradigm of cryptography in terms of category theory and show that protocols secure against abstract attacks form a symmetric monoidal category, thus giving an abstract model of composable security definitions in…

Cryptography and Security · Computer Science 2024-10-22 Anne Broadbent , Martti Karvonen

We introduce the distribution of a secret multipartite entangled state in a real-world scenario as a quantum primitive. We show that in the presence of noisy quantum channels (and noisy control operations) any state chosen from the set of…

Quantum Physics · Physics 2009-11-10 W. Dür , J. Calsamiglia , H. -J. Briegel

We study common randomness where two parties have access to i.i.d. samples from a known random source, and wish to generate a shared random key using limited (or no) communication with the largest possible probability of agreement. This…

Computational Complexity · Computer Science 2017-07-26 Badih Ghazi , T. S. Jayram

We derive complementarity relations for arbitrary quantum states of multiparty systems, of arbitrary number of parties and dimensions, between the purity of a part of the system and several correlation quantities, including entanglement and…

Quantum Physics · Physics 2016-03-30 Anindita Bera , Asutosh Kumar , Debraj Rakshit , R. Prabhu , Aditi Sen De , Ujjwal Sen

We introduce and discuss the notion of monotonicity for the complexity measures of general probability distributions, patterned after the resource theory of quantum entanglement. Then, we explore whether this property is satisfied by the…

Data Analysis, Statistics and Probability · Physics 2016-01-20 Łukasz Rudnicki , Irene V. Toranzo , Pablo Sanchez-Moreno , Jesus S. Dehesa

We study efficient differentially private algorithms for estimating monotone statistics, i.e., statistics that are monotone under the addition of new observations. The starting point for our investigation is subsample-and-aggregate: a…

Cryptography and Security · Computer Science 2026-05-28 Gavin Brown , Ephraim Linder , Mahbod Majid , Vikrant Singhal

We consider the problem of secure key distribution among $n$ trustful agents: the goal is to distribute an identical random bit-string among the $n$ agents over a noisy channel such that eavesdroppers learn little about it. We study the…

Quantum Physics · Physics 2007-05-23 Sudhir Kumar Singh , R. Srikanth

Differential privacy (DP) is widely employed to provide privacy protection for individuals by limiting information leakage from the aggregated data. Two well-known models of DP are the central model and the local model. The former requires…

Cryptography and Security · Computer Science 2024-11-05 Yucheng Fu , Tianhao Wang

Learning from data owned by several parties, as in federated learning, raises challenges regarding the privacy guarantees provided to participants and the correctness of the computation in the presence of malicious parties. We tackle these…

Cryptography and Security · Computer Science 2022-10-31 César Sabater , Aurélien Bellet , Jan Ramon

We present a new technique for proving the security of quantum key distribution (QKD) protocols. It is based on direct information-theoretic arguments and thus also applies if no equivalent entanglement purification scheme can be found.…

Quantum Physics · Physics 2009-11-11 R. Renner , N. Gisin , B. Kraus
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