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We investigate the conditions under which an uncontrollable background processes may be harnessed by an agent to perform a task that would otherwise be impossible within their operational framework. This situation can be understood from the…

Quantum Physics · Physics 2021-04-21 Graeme D. Berk , Andrew J. P. Garner , Benjamin Yadin , Kavan Modi , Felix A. Pollock

A class of quantum resource theories, based on non-convex star-shape sets, presented in this work captures the key quantum properties that cannot be studied by standard convex theories. We provide operational interpretations for a resource…

Entanglement-breaking channels (equivalently, measure-and-prepare channels) are an important class of quantum operations noted for their ability to destroy multipartite spatial quantum correlations. Inspired by this property, they have also…

Quantum Physics · Physics 2025-12-22 Lucas B. Vieira , Huan-Yu Ku , Costantino Budroni

How far can we take the resource theoretic approach to explore physics? Resource theories like LOCC, reference frames and quantum thermodynamics have proven a powerful tool to study how agents who are subject to certain constraints can act…

Quantum Physics · Physics 2015-12-01 Lidia del Rio , Lea Kraemer , Renato Renner

Tensor networks provide succinct representations of quantum many-body states and are an important computational tool for strongly correlated quantum systems. Their expressive and computational power is characterized by an underlying…

Quantum Shannon theory is loosely defined as a collection of coding theorems, such as classical and quantum source compression, noisy channel coding theorems, entanglement distillation, etc., which characterize asymptotic properties of…

Quantum Physics · Physics 2008-10-03 I. Devetak , A. W. Harrow , A. Winter

Resource theories provide a general framework for the characterization of properties of physical systems in quantum mechanics and beyond. Here, we introduce methods for the quantification of resources in general probabilistic theories…

Quantum Physics · Physics 2021-03-19 Ludovico Lami , Bartosz Regula , Ryuji Takagi , Giovanni Ferrari

We introduce the resource marginal problems, which concern the possibility of having a resource-free target subsystem compatible with a given collection of marginal density matrices. By identifying an appropriate choice of resource R and…

Quantum Physics · Physics 2024-05-29 Chung-Yun Hsieh , Gelo Noel M. Tabia , Yu-Chun Yin , Yeong-Cherng Liang

The theory of noncommutative dynamical entropy and quantum symbolic dynamics for quantum dynamical systems is analised from the point of view of quantum information theory. Using a general quantum dynamical system as a communication channel…

Quantum Physics · Physics 2009-11-07 Robert Alicki

A central question in quantum computation is to identify the resources that are responsible for quantum speed-up. Quantum contextuality has been recently shown to be a resource for quantum computation with magic states for odd-prime…

Quantum Physics · Physics 2017-09-26 Juan Bermejo-Vega , Nicolas Delfosse , Dan E. Browne , Cihan Okay , Robert Raussendorf

We introduce and analyse the problem of encoding classical information into different resources of a quantum state. More precisely, we consider a general class of communication scenarios characterised by encoding operations that commute…

Quantum Physics · Physics 2022-08-08 Kamil Korzekwa , Zbigniew Puchała , Marco Tomamichel , Karol Życzkowski

Quantum resource theories identify the features of quantum computers that provide their computational advantage over classical systems. We investigate the resources driving the complexity of classical simulation in the standard model of…

Quantum Physics · Physics 2025-02-12 Varun Upreti , Ulysse Chabaud

We investigate the problem of determining the parameters that describe a quantum channel. It is assumed that the users of the channel have at best only partial knowledge of it and make use of a finite amount of resources to estimate it. We…

Quantum coherence, like entanglement, is a fundamental resource in quantum information. In recent years, remarkable progress has been made in formulating resource theory of coherence from a broader perspective. The notions of…

Quantum Physics · Physics 2021-07-06 Sunho Kim , Chunhe Xiong , Asutosh Kumar , Guijun Zhang , Junde Wu

Quantum instruments describe both the classical output and the updated quantum state in a measurement process. To do this in a non-trivial way, instruments must have the capability to interact coherently with the state that they measure.…

Quantum Physics · Physics 2026-03-31 Chung-Yun Hsieh , Armin Tavakoli , Huan-Yu Ku , Paul Skrzypczyk

We explore the thermodynamics of quantum processes (quantum channels) by axiomatically introducing the free energy for channels, defined via the quantum relative entropy with an absolutely thermal channel whose fixed output is in…

Quantum Physics · Physics 2026-01-23 Himanshu Badhani , Dhanuja G. S. , Siddhartha Das

Open quantum dynamics can be categorized in several ways, including according to their divisibility. For any quantum channel acting for any finite time period, we propose measures of P-indivisibility and CP-indivisibility, where P and CP…

Quantum Physics · Physics 2024-07-30 Priya Ghosh , Soumyajit Pal , Ujjwal Sen

The information spectrum approach gives general formulae for optimal rates of various information theoretic protocols, under minimal assumptions on the nature of the sources, channels and entanglement resources involved. This paper…

Quantum Physics · Physics 2007-05-23 Garry Bowen , Nilanjana Datta

Quantifying how much a quantum state breaks a symmetry is essential for characterizing phases, nonequilibrium dynamics, and open-system behavior. Quantum resource theory provides a rigorous operational framework to define and characterize…

High Energy Physics - Theory · Physics 2026-04-07 Yuya Kusuki , Sridip Pal , Hiroyasu Tajima

Quantum resource theories provide a diverse and powerful framework for extensively studying the phenomena in quantum physics. Quantum coherence, a quantum resource, is the basic ingredient in many quantum information tasks. It is a subject…

Quantum Physics · Physics 2021-05-19 Sunho Kim , Chunhe Xiong , Asutosh Kumar , Junde Wu
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