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A simple mathematical extension of quantum theory is presented. As well as opening the possibility of alternative methods of calculation, the additional formalism implies a new physical interpretation of the standard theory by providing a…

Quantum Physics · Physics 2020-03-17 Roderick Sutherland

The formalism of Deutsch and Hayden is a useful tool for describing quantum mechanics explicitly as local and unitary, and therefore quantum information theory as concerning a "flow" of information between systems. In this paper we show…

Quantum Physics · Physics 2023-04-21 Dominic Horsman , Vlatko Vedral

A modal logic based on quantum logic is formalized in its simplest possible form. Specifically, a relational semantics and a sequent calculus are provided, and the soundness and the completeness theorems connecting both notions are…

Logic in Computer Science · Computer Science 2025-11-14 Kenji Tokuo

Quantum theory can be derived from purely informational principles. Five elementary axioms-causality, perfect distinguishability, ideal compression, local distinguishability, and pure conditioning-define a broad class of theories of…

Quantum Physics · Physics 2015-03-17 G. Chiribella , G. M. D'Ariano , P. Perinotti

Quantum computing is poised to transform computational paradigms across science and industry. As the field evolves, it can benefit from established classical methodologies, including promising paradigms such as Transfer of Knowledge (ToK).…

We adopt the view according to which information is the primary physical entity that posseses objective meaning. Basing on two postulates that (i) entanglement is a form of quantum information corresponding to internal energy (ii) sending…

Quantum Physics · Physics 2009-11-06 Ryszard Horodecki , Michal Horodecki , Pawel Horodecki

Nonclassical states of light and their correlations lie at the heart of quantum optics, serving as fundamental resources that underpin both the exploration of quantum phenomena and the realisation of quantum information protocols. These…

Quantum Physics · Physics 2026-01-29 Jhoan Eusse , Esteban Vasquez , Tom Rivlin , Elizabeth Agudelo

Quantum state teleportation is a protocol where a shared entangled state is used as a quantum channel to transmit quantum information between distinct locations. Here we consider the task of estimating entanglement in teleportation…

Quantum Physics · Physics 2019-03-27 Ivan Šupić , Paul Skrzypczyk , Daniel Cavalcanti

A new interpretation of entanglement entropy is proposed: entanglement entropy of a pure state with respect to a division of a Hilbert space into two subspaces 1 and 2 is an amount of information, which can be transmitted through 1 and 2…

General Relativity and Quantum Cosmology · Physics 2016-08-25 Shinji Mukohyama

In this work we provide a genuine relativistic quantum teleportation protocol whose classical communication component makes use of relativistic causal propagation of a quantum field. Consequently, the quantum teleportation is fully…

Quantum Physics · Physics 2022-10-03 Erickson Tjoa

We discuss information-theoretic concepts on infinite-dimensional quantum systems. In particular, we lift the smooth entropy formalism as introduced by Renner and collaborators for finite-dimensional systems to von Neumann algebras. For the…

Quantum Physics · Physics 2015-12-02 Mario Berta , Fabian Furrer , Volkher B. Scholz

We derive the category-theoretic backbone of quantum theory from a process ontology. More specifically, we treat quantum theory as a theory of systems, processes and their interactions. In this first part of a three-part overview, we first…

Quantum Physics · Physics 2016-05-30 Bob Coecke , Aleks Kissinger

In theories of communication, it is usually presumed that the involved parties perform actions in a fixed causal order. However, practical and fundamental reasons can induce uncertainties in the causal order. Here we show that a maximal…

Quantum Physics · Physics 2019-11-20 Ding Jia , Fabio Costa

Shared entanglement is a resource available to parties communicating over a quantum channel, much akin to public coins in classical communication protocols. Whereas shared randomness does not help in the transmission of information, or…

Quantum Physics · Physics 2018-03-22 Ashwin Nayak , Julia Salzman

A quantum process is called non-Markovian when memory effects take place during its evolution. Quantum non-Markovianity is a phenomenon typically associated with the information back-flow from the environment to the principal system,…

Quantum Physics · Physics 2025-05-30 Spyros Tserkis , Kade Head-Marsden , Prineha Narang

Quantum networks offer a unifying set of opportunities and challenges across exciting intellectual and technical frontiers, including for quantum computation, communication, and metrology. The realization of quantum networks composed of…

Quantum Physics · Physics 2009-11-13 H. J. Kimble

We present a unified approach to quantum teleportation in arbitrary dimensions based on the Wigner-function formalism. This approach provides us with a clear picture of all manipulations performed in the teleportation protocol. In addition…

Quantum Physics · Physics 2009-11-07 M. Koniorczyk , V. Buzek , J. Janszky

Quantum teleportation plays a key role in modern quantum technologies. Thus, it is of much interest to generate alternative approaches or representations aimed at allowing us a better understanding of the physics involved in the process…

Quantum Physics · Physics 2020-07-14 E. Honrubia , A. S. Sanz

We construct a formal framework for investigating epistemic and temporal notions in the context of distributed quantum computation. While we rely on structures developed earlier, we stress that our notion of quantum knowledge makes sense…

Quantum Physics · Physics 2007-05-23 Ellie D'Hondt , Prakash Panangaden

Large-scale communication networks, such as the internet, rely on routing packets of data through multiple intermediate nodes to transmit information from a sender to a receiver. In this paper, we develop a model of a quantum communication…

Quantum Physics · Physics 2023-09-28 Hlér Kristjánsson , Yan Zhong , Anthony Munson , Giulio Chiribella
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