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This series of introductory lectures consists of two parts. In the first part, I rapidly review the basic notions of quantum physics and many primitives of quantum information (i.e. notions that one must be somehow familiar with in the…

Quantum Physics · Physics 2011-07-08 Valerio Scarani

Quantum theory was discovered in an adventurous way, under the urge to solve puzzles-like the spectrum of the blackbody radiation-that haunted the physics community at the beginning of the 20th century. It soon became clear, though, that…

Quantum Physics · Physics 2016-03-15 Giulio Chiribella , Giacomo Mauro D'Ariano , Paolo Perinotti

In our previous arXiv papers ("The Information and the Matter", v1, v5; more systematically the informational conception is presented in the paper "The Information as Absolute", 2010) it was rigorously shown that Matter in our Universe -…

General Physics · Physics 2021-09-08 Sergey V. Shevchenko , Vladimir V. Tokarevsky

The slogan information is physical has been so successful that it led to some excess. Classical and quantum information can be thought of independently of any physical implementation. Pure information tasks can be realized using such…

Quantum Physics · Physics 2007-05-23 N. Gisin

Interactions between light and matter play an instrumental role in many fields of science, giving rise to important applications in spectroscopy, sensing, quantum information processing, and lasers. In most of these applications, light is…

Optics · Physics 2023-03-22 Nicholas Rivera , Ido Kaminer

Quantum information theory represents a rich subject of discussion for those interested in the philosphical and foundational issues surrounding quantum mechanics for a simple reason: one can cast its central concerns in terms of a…

Quantum Physics · Physics 2007-05-23 Christopher G Timpson

Shannon's theory of information was built on the assumption that the information carriers were classical systems. Its quantum counterpart, quantum Shannon theory, explores the new possibilities arising when the information carriers are…

Quantum Physics · Physics 2019-05-30 Giulio Chiribella , Hlér Kristjánsson

Quantum information theory is a rapidly growing area of math and physics that combines two independent theories, quantum mechanics and information theory. Quantum entanglement is a concept that was first proposed in the EPR paradox. In…

Quantum Physics · Physics 2025-11-19 Lane Boswell , Ying Cao

Quantum mechanics and information theory are among the most important scientific discoveries of the last century. Although these two areas initially developed separately it has emerged that they are in fact intimately related. In this…

Quantum Physics · Physics 2009-11-07 V. Vedral

Quantum information processing has conceptually changed the way we process and transmit information. Quantum physics, which explains the strange behaviour of matter at the microscopic dimensions, has matured into a quantum technology that…

Paw{\l}owski and Winter's hyperbit theory, proposed in 2012, presented itself as an alternative to quantum theory, suggesting novel ways of redefining entanglement and classical communication paradigms. This research undertakes a meticulous…

Quantum Physics · Physics 2024-03-07 Giovanni Scala , Seyed Arash Ghoreishi , Marcin Pawłowski

Information algebras arise from the idea that information comes in pieces which can be aggregated or combined into new pieces, that information refers to questions and that from any piece of information, the part relevant to a given…

Information Theory · Computer Science 2021-01-01 Juerg Kohlas , Juerg Schmid

The main aim of this thesis is to look for a logical deductive calculus (we will adopt sequent calculus, originally introduced in Gentzen, 1935), which could describe quantum information and its properties. More precisely, we intended to…

Quantum Physics · Physics 2010-04-01 Paola Zizzi

One of the key features of quantum mechanics is the interference of probability amplitudes. The reason for the appearance of interference is mathematically very simple. It is the linear structure of the Hilbert space which is used for the…

Quantum Physics · Physics 2010-09-02 Martin Stefanak

Extending the qubit coherence times is a crucial task in building quantum information processing devices. In the three-dimensional cavity implementations of circuit QED, the coherence of superconducting qubits was improved dramatically due…

Mesoscale and Nanoscale Physics · Physics 2021-06-23 Leonid I. Glazman , Gianluigi Catelani

What kind of object is a quantum state? Is it an object that encodes an exponentially growing amount of information (in the size of the system) or more akin to a probability distribution? It turns out that these questions are sensitive to…

Computational Complexity · Computer Science 2016-06-23 Ciarán M. Lee , Matty J. Hoban

Quantum mechanics has many counter-intuitive consequences which contradict our intuition which is based on classical physics. Here we discuss a special aspect of quantum mechanics, namely the possibility of entanglement between two or more…

Quantum Physics · Physics 2009-10-31 Martin B. Plenio , Vlatko Vedral

The quantum mechanics formalism introduced new revolutionary concepts challenging our everyday perceptions. Arguably, quantum entanglement, which explains correlations that cannot be reproduced classically, is the most notable of them.…

A conception of virtual quantum information bit - virtual qubit - is introduced. It is shown by means of virtual qubit representation that four states of a single quantum particle is enough for implementation of full set of the gates, which…

Quantum Physics · Physics 2015-06-26 Alexander R. Kessel , Vladimir L. Ermakov

This paper answers Bell's question: What does quantum information refer to? It is about quantum properties represented by subspaces of the quantum Hilbert space, or their projectors, to which standard (Kolmogorov) probabilities can be…

Quantum Physics · Physics 2017-12-04 Robert B. Griffiths