Computation in generalised probabilisitic theories

DOI10.1088/1367-2630/17/8/083001zbMath1454.81032arXiv1412.8671OpenAlexW3102853842WikidataQ62105806 ScholiaQ62105806MaRDI QIDQ5151582

Ciarán M. Lee, Jonathan Barrett

Publication date: 19 February 2021

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.8671

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Quantum computation (81P68) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (13)

A no-go theorem for theories that decohere to quantum mechanics ⋮ Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras ⋮ General probabilistic theories: an introduction ⋮ Unnamed Item ⋮ Hyperdense coding and superadditivity of classical capacities in hypersphere theories ⋮ Interferometric computation beyond quantum theory ⋮ Oracles and query lower bounds in generalised probabilistic theories ⋮ On defining the Hamiltonian beyond quantum theory ⋮ Operational quantum theory without predefined time ⋮ Causal and causally separable processes ⋮ Deriving Grover's lower bound from simple physical principles ⋮ Decomposing all multipartite non-signalling channels via quasiprobabilistic mixtures of local channels in generalised probabilistic theories ⋮ Computation in a general physical setting

Cites Work

• Implausible consequences of superstrong nonlocality
• PP-lowness and a simple definition of AWPP
• Strong nonlocality: a trade-off between states and measurements
• Theory-independent limits on correlations from generalized Bayesian networks
• A framework for phase and interference in generalized probabilistic theories
• Quantum computing, postselection, and probabilistic polynomial-time
• The complexity theory companion
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