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This paper studies privacy and secure function evaluation in communication complexity. The focus is on quantum versions of the model and on protocols with only approximate privacy against honest players. We show that the privacy loss (the…

Quantum Physics · Physics 2007-05-23 Hartmut Klauck

Quantum entanglement, perhaps the most non-classical manifestation of quantum information theory, cannot be used to transmit information between remote parties. Yet, it can be used to reduce the amount of communication required to process a…

Quantum Physics · Physics 2015-06-29 Gilles Brassard , Anne Broadbent , Alain Tapp

How could quantum cryptography help us achieve what are not achievable in classical cryptography? In this work we study the classical cryptographic problem that two parties would like to perform secure computations with long outputs. As a…

Quantum Physics · Physics 2025-08-14 Jiayu Zhang

While exponential separations are known between quantum and randomized communication complexity for partial functions (Raz, STOC 1999), the best known separation between these measures for a total function is quadratic, witnessed by the…

We show two results about the relationship between quantum and classical messages. Our first contribution is to show how to replace a quantum message in a one-way communication protocol by a deterministic message, establishing that for all…

Quantum Physics · Physics 2014-04-17 Hartmut Klauck , Supartha Podder

Classical communications are used in the post-processing procedure of quantum key distribution. Since the security of quantum key distribution is based on the principles of quantum mechanics, intuitively the secret key can only be derived…

Quantum Physics · Physics 2008-05-05 Yong-gang Tan , Qing-yu Cai

Quantum key distribution allows two parties, traditionally known as Alice and Bob, to establish a secure random cryptographic key if, firstly, they have access to a quantum communication channel, and secondly, they can exchange classical…

Quantum Physics · Physics 2007-05-23 Matthias Christandl , Renato Renner , Artur Ekert

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

Privacy amplification is a necessary step in all quantum key distribution protocols, and error correction is needed in each except when signals of many photons are used in the key communication in quantum noise approach. No security…

Quantum Physics · Physics 2014-11-11 Horace Yuen

We consider communication scenarios with multiple senders and a single receiver. Focusing on communication tasks where the distinguishability or anti-distinguishability of the sender's input is bounded, we show that quantum strategies…

Quantum Physics · Physics 2025-06-10 Ankush Pandit , Soumyabrata Hazra , Satyaki Manna , Anubhav Chaturvedi , Debashis Saha

Secret-key distillation from quantum states and channels is a central task of interest in quantum information theory, as it facilitates private communication over a quantum network. Here, we study the task of secret-key distillation from…

Quantum Physics · Physics 2025-06-16 Vishal Singh , Mark M. Wilde

We consider the scenario where Alice wants to send a secret (classical) $n$-bit message to Bob using a classical key, and where only one-way transmission from Alice to Bob is possible. In this case, quantum communication cannot help to…

Quantum Physics · Physics 2007-05-23 Ivan Damgaard , Thomas Pedersen , Louis Salvail

We introduce an explicit construction for a key distribution protocol in the Quantum Computational Timelock (QCT) security model, where one assumes that computationally secure encryption may only be broken after a time much longer than the…

Quantum Physics · Physics 2025-09-24 Francesco Mazzoncini , Balthazar Bauer , Peter Brown , Romain Alléaume

We study the advantages of quantum communication models over classical communication models that are equipped with a limited number of qubits of entanglement. In this direction, we give explicit partial functions on $n$ bits for which…

Quantum Physics · Physics 2025-12-02 Srinivasan Arunachalam , Uma Girish

The most trivial way to simulate classically the communication of a quantum state is to transmit the classical description of the quantum state itself. However, this requires an infinite amount of classical communication if the simulation…

Quantum Physics · Physics 2014-01-07 Alberto Montina

We define a new model of quantum learning that we call Predictive Quantum (PQ). This is a quantum analogue of PAC, where during the testing phase the student is only required to answer a polynomial number of testing queries. We demonstrate…

Quantum Physics · Physics 2022-03-29 Dmytro Gavinsky

In this article we deal with the security of the BB84 quantum cryptography protocol over noisy channels using generalized privacy amplification. For this we estimate the fraction of bits needed to be discarded during the privacy…

Quantum Physics · Physics 2007-05-23 N. Lütkenhaus , Stephen M. Barnett

Isolated qubits are a special class of quantum devices, which can be used to implement tamper-resistant cryptographic hardware such as one-time memories (OTM's). Unfortunately, these OTM constructions leak some information, and standard…

Quantum Physics · Physics 2015-05-14 Yi-Kai Liu

We prove a general connection between the communication complexity of two-player games and the sample complexity of their multi-player locally private analogues. We use this connection to prove sample complexity lower bounds for locally…

Machine Learning · Computer Science 2019-10-30 Matthew Joseph , Jieming Mao , Aaron Roth

In communication complexity-like problems, previous studies have shown either an exponential quantum advantage or an unbounded quantum advantage with an exponentially large input set $\Theta(2^{n})$ bits with respect to classical…