A mathematical theory of resources

DOI10.1016/j.ic.2016.02.008zbMath1353.81029arXiv1409.5531OpenAlexW2096204190MaRDI QIDQ320201

Bob Coecke, Tobias Fritz, Robert W. Spekkens

Publication date: 6 October 2016

Published in: Information and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.5531

Mathematics Subject Classification ID

Channel models (including quantum) in information and communication theory (94A40) Quantum coherence, entanglement, quantum correlations (81P40) Coding theorems (Shannon theory) (94A24) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (44)

Concurrent Process Histories and Resource Transducers ⋮ Operational approach to the topological structure of the physical space ⋮ Resource theory of contextuality for arbitrary prepare-and-measure experiments ⋮ Attainability and lower semi-continuity of the relative entropy of entanglement and variations on the theme ⋮ Categories of Empirical Models ⋮ Information-based approach towards a unified resource theory ⋮ Higher-order singular value decomposition and the reduced density matrices of three qubits ⋮ Asymptotic state transformations of continuous variable resources ⋮ Stabilizer Rényi entropy on qudits ⋮ Operational characterization of weight-based resource quantifiers via exclusion tasks in general probabilistic theories ⋮ Using a resource theoretic perspective to witness and engineer quantum generalized contextuality for prepare-and-measure scenarios ⋮ Coend Optics for Quantum Combs ⋮ Protocol choice and iteration for the free cornering ⋮ Resource convertibility and ordered commutative monoids ⋮ Coherence, superposition, and Löwdin symmetric orthogonalization ⋮ Categorical composable cryptography: extended version ⋮ Categorical composable cryptography ⋮ A categorical view on the principle of relativity ⋮ Extending Resource Monotones using Kan Extensions ⋮ Possibility of recovering message segments based on side information about original characters ⋮ Microcanonical thermodynamics in general physical theories ⋮ A diagrammatic derivation of the Hermitian adjoint ⋮ Beyond heat baths II: framework for generalized thermodynamic resource theories ⋮ Unnamed Item ⋮ Introduction: Quantum information theory and quantum foundations ⋮ Indefinite causal order aids quantum depolarizing channel identification ⋮ Quantifying magic for multi-qubit operations ⋮ Necessary and sufficient conditions on measurements of quantum channels ⋮ Unnamed Item ⋮ Accessible bounds for general quantum resources ⋮ Operational restrictions in general probabilistic theories ⋮ Resource theory of contextuality ⋮ Strong and weak optimizations in classical and quantum models of stochastic processes ⋮ Quantifying the imaginarity of quantum mechanics ⋮ Passivity and practical work extraction using Gaussian operations ⋮ Monotonicity of skew information and its applications in quantum resource theory ⋮ Connection of coherence measure and unitary evolutions ⋮ Extremal elements of a sublattice of the majorization lattice and approximate majorization ⋮ The dynamics of entropies at the onset of interactions ⋮ General state transitions with exact resource morphisms: a unified resource-theoretic approach ⋮ Detecting magic states via characteristic functions ⋮ A resource theory of quantum measurements ⋮ Topological model of neural information networks ⋮ Infinite dimensionality of the post-processing order of measurements on a general state space

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