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We propose a 2-categorical formalism for describing classical information, quantum systems, and their interactions, based on the principle that classical information can be encoded as correlations between quantum systems. Applying this in…

Quantum Algebra · Mathematics 2012-07-20 Jamie Vicary

There are two ways to describe the interaction between classical and quantum information categorically: one based on completely positive maps between Frobenius algebras, the other using symmetric monoidal 2-categories. This paper makes a…

Quantum Physics · Physics 2014-12-31 Chris Heunen , Jamie Vicary , Linde Wester

We propose a decision procedure for analysing security of quantum cryptographic protocols, combining a classical algebraic rewrite system for knowledge with an operational semantics for quantum distributed computing. As a test case, we use…

Cryptography and Security · Computer Science 2008-08-28 Ellie D'Hondt , Mehrnoosh Sadrzadeh

We study quantum information and computation from a novel point of view. Our approach is based on recasting the standard axiomatic presentation of quantum mechanics, due to von Neumann, at a more abstract level, of compact closed categories…

Quantum Physics · Physics 2009-09-29 Samson Abramsky , Bob Coecke

This note presents a practical cryptography protocol for transmitting classical and quantum information secretly and directly.

Quantum Physics · Physics 2007-05-23 Li Yang , Ling-An Wu

We define "coherent communication" in terms of a simple primitive, show it is equivalent to the ability to send a classical message with a unitary or isometric operation, and use it to relate other resources in quantum information theory.…

Quantum Physics · Physics 2009-11-10 Aram W. Harrow

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 2022-08-30 Anne Broadbent , Martti Karvonen

We propose a class of quantum no-key protocols for private communication of classical message based on quantum computing of random Boolean permutations, and demonstrate that they are information-theoretic secure. These protocols are…

Quantum Physics · Physics 2013-06-17 Li Yang

Cryptography plays a pivotal role in safeguarding sensitive information and facilitating secure communication. Classical cryptography relies on mathematical computations, whereas quantum cryptography operates on the principles of quantum…

Cryptography and Security · Computer Science 2024-03-31 Tanmay Tripathi , Abhinav Awasthi , Shaurya Pratap Singh , Atul Chaturvedi

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

Full formal descriptions of algorithms making use of quantum principles must take into account both quantum and classical computing components and assemble them so that they communicate and cooperate.Moreover, to model concurrent and…

Quantum Physics · Physics 2007-05-23 Marie Lalire

Quantum secret-sharing and quantum error-correction schemes rely on multipartite decoding protocols, yet the non-local operations involved are challenging and sometimes infeasible. Here we construct a quantum secret-sharing protocol with a…

Quantum Physics · Physics 2013-09-02 Vlad Gheorghiu , Barry C. Sanders

We show that optimal protocols for noisy channel coding of public or private information over either classical or quantum channels can be directly constructed from two more primitive information-theoretic tools: privacy amplification and…

Quantum Physics · Physics 2012-03-27 Joseph M. Renes , Renato Renner

Quantum encryption is a well studied problem for both classical and quantum information. However, little is known about quantum encryption schemes which enable the user, under different keys, to learn different functions of the plaintext,…

Cryptography and Security · Computer Science 2017-03-02 Aditya Ahuja

In categorical quantum mechanics, classical structures characterize the classical interfaces of quantum resources on one hand, while on the other hand giving rise to some quantum phenomena. In the standard Hilbert space model of quantum…

Quantum Physics · Physics 2009-12-17 Dusko Pavlovic

Quantum-mechanical devices have the potential to transform cryptography. Most research in this area has focused either on the information-theoretic advantages of quantum protocols or on the security of classical cryptographic schemes…

Methods of quantum mechanics promise information-theoretic security for various protocols in cryptography. However, impossibility of some cryptographic applications such as standard bit commitment, oblivious transfer, multiparty secure…

Quantum Physics · Physics 2015-08-03 Muhammad Nadeem

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

In this article, we introduce a reference model for interaction semantics among communicating discrete systems to guide the discourse on interoperability. The necessary set of unifying concepts is small and comprises essentially the notion…

Software Engineering · Computer Science 2019-08-16 Johannes Reich , Tizian Schröder

Applied process calculi include advanced programming constructs such as type systems, communication with pattern matching, encryption primitives, concurrent constraints, nondeterminism, process creation, and dynamic connection topologies.…

Logic in Computer Science · Computer Science 2017-01-11 Johannes Borgström , Ramūnas Gutkovas , Joachim Parrow , Björn Victor , Johannes Åman Pohjola
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