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In this Thesis, several results in quantum information theory are collected, most of which use entropy as the main mathematical tool. *While a direct generalization of the Shannon entropy to density matrices, the von Neumann entropy behaves…

Quantum Physics · Physics 2018-10-25 Christian Majenz

Private Information Retrieval (PIR), despite being well studied, is computationally costly and arduous to scale. We explore lower-cost relaxations of information-theoretic PIR, based on dummy queries, sparse vectors, and compositions with…

Information Retrieval · Computer Science 2016-04-04 Raphael R. Toledo , George Danezis , Ian Goldberg

Covert and secret quantum key distribution aims at generating information-theoretically secret bits between distant legitimate parties in a manner that remains provably undetectable by an adversary. We propose a framework in which to…

Information Theory · Computer Science 2019-05-29 Mehrdad Tahmasbi , Matthieu R. Bloch

A Private Information Retrieval (PIR) protocol based on coding theory for a single server is proposed. It provides computational security against linear algebra attacks, addressing the main drawback of previous PIR proposals based on coding…

Information Theory · Computer Science 2024-01-01 Şeyma Bodur , Edgar Martínez-Moro , Diego Ruano

Quantum physical layer security protocols offer significant advantages, particularly in space communications, but their achievable secrecy rates are often limited to the asymptotic regime. Realistic communication systems, however, demand…

Quantum Physics · Physics 2025-02-10 Masahito Hayashi , Angeles Vázquez-Castro

We present two new schemes for quantum key distribution (QKD) that neither require entanglement nor an ideal single-photon source, making them implementable with commercially available single-photon sources. These protocols are shown to be…

Quantum Physics · Physics 2025-05-13 Arindam Dutta , Anirban Pathak

Information-theoretic key agreement is impossible to achieve from scratch and must be based on some - ultimately physical - premise. In 2005, Barrett, Hardy, and Kent showed that unconditional security can be obtained in principle based on…

Quantum Physics · Physics 2023-04-12 Esther Hänggi , Renato Renner , Stefan Wolf

Quantum computers may achieve speedups over their classical counterparts for solving linear algebra problems. However, in some cases -- such as for low-rank matrices -- dequantized algorithms demonstrate that there cannot be an exponential…

Quantum Physics · Physics 2023-05-16 Ashley Montanaro , Changpeng Shao

Post-quantum cryptography studies the security of classical, i.e. non-quantum cryptographic protocols against quantum attacks. Until recently, the considered adversaries were assumed to use quantum computers and behave like classical…

Cryptography and Security · Computer Science 2013-07-16 Maria Velema

We show that it is possible for the so-called weak locking capacity of a quantum channel [Guha et al., PRX 4:011016, 2014] to be much larger than its private capacity. Both reflect different ways of capturing the notion of reliable…

Quantum Physics · Physics 2017-01-06 Andreas Winter

Quantum technology promises revolutionary advantages in information processing and transmission compared to classical technology; however, determining which specific resources are needed to surpass the capabilities of classical machines…

Quantum Physics · Physics 2017-03-20 Yuxiang Yang , Giulio Chiribella , Gerardo Adesso

Recently, major progress has been made towards the realisation of quantum internet to enable a broad range of classically intractable applications. These applications such as delegated quantum computation require running a secure…

Quantum Physics · Physics 2021-10-04 Mina Doosti , Niraj Kumar , Mahshid Delavar , Elham Kashefi

Quantum correlations provide dramatic advantage over the corresponding classical resources in several communication tasks. However a broad class of probabilistic theories exists that attributes greater success than quantum theory in many of…

Quantum Physics · Physics 2020-11-09 Sutapa Saha , Some Sankar Bhattacharya , Tamal Guha , Saronath Halder , Manik Banik

Secure communication has achieved a new dimension with the advent of the schemes of quantum key distribution (QKD) as in contrast to classical cryptography, quantum cryptography can provide unconditional security. However, a successful…

Quantum Physics · Physics 2021-12-09 Arindam Dutta , Anirban Pathak

Information-theoretic formulations of the private information retrieval (PIR) problem have been investigated under a variety of scenarios. Symmetric private information retrieval (SPIR) is a variant where a user is able to privately…

Information Theory · Computer Science 2020-06-05 Islam Samy , Mohamed A. Attia , Ravi Tandon , Loukas Lazos

In quantum private information retrieval (QPIR), a user retrieves a classical file from multiple servers by downloading quantum systems without revealing the identity of the file. The QPIR capacity is the maximal achievable ratio of the…

Information Theory · Computer Science 2021-11-09 Matteo Allaix , Seunghoan Song , Lukas Holzbaur , Tefjol Pllaha , Masahito Hayashi , Camilla Hollanti

In this paper we present a new proof technique for semi-quantum key distribution protocols which makes use of a quantum entropic uncertainty relation to bound an adversary's information. Our new technique provides a more optimistic key-rate…

Quantum Physics · Physics 2018-01-09 Walter O. Krawec

We present full generalisations of entropic security and entropic indistinguishability to the quantum world where no assumption but a limit on the knowledge of the adversary is made. This limit is quantified using the quantum conditional…

Quantum Physics · Physics 2010-04-16 Simon Pierre Desrosiers , Frédéric Dupuis

Quantum Internet signifies a remarkable advancement in communication technology, harnessing the principles of quantum entanglement and superposition to facilitate unparalleled levels of security and efficient computations. Quantum…

Quantum Physics · Physics 2023-12-12 Mohamed Shaban , Muhammad Ismail

The security of quantum key distribution protocols is guaranteed by the laws of quantum mechanics. However, a precise analysis of the security properties requires tools from both classical cryptography and information theory. Here, we…

Quantum Physics · Physics 2017-10-11 Marco Tomamichel , Jesus Martinez-Mateo , Christoph Pacher , David Elkouss