Superadditivity of communication capacity using entangled inputs

By M. B. Hastings. 2009

526 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/9d07d500ae6d7a4bbb4b04d2ade0a1e0031649e6

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Faithful Squashed Entanglement (2010, background): “Many recent results listed in this table have significance beyond the study of entanglement measures, such as Hastings’s counterexample to the additivity conjecture of the minimum output entropy [ 33 ] which implies that entanglement of formation is not strongly superadditive [32]”
Generating random density matrices (2010, background): “For instance, a key conjecture in the theory of quantum information concerning the additivity of minimal output entropy was recently shown to be false by investigating properties of random states obtained by random operations applied to the maximally entangled state of a composed system [2].”
Strong Converse for the Classical Capacity of Entanglement-Breaking and Hadamard Channels via a Sandwiched Rényi Relative Entropy (2013, background): “The work of Hastings [28] suggests that the regularized limit is necessary unless we are able to find some better characterization of the classical capacity, other than the above one given by HSW.”
Quantum channels and memory effects (2012, background): “The unconstrained capacity C (often identified in this context also as the quantum-quantum or Cqq capacity) is a natural (and in general strict (Hastings, 2009)) upper bounds for the others.”
From Classical to Quantum Shannon Theory (2011, methodology): “Just prior to these works, Hausladen et al. (1996) proved achievability of the Holevo information for the special case of a channel that accepts a classical input and outputs a pure state conditioned on the input.”
The Theory of Quantum Information (2018, methodology): “53 was proved by Hastings [91], based in part on Hayden and Winter’s disproof of the so-called maximal p-norm multiplicativity conjecture shortly before [99].”
Random matrix techniques in quantum information theory (2015, methodology): “om the fact that one needs a precise control of the entire output spectrum, while for p>1 controlling the largest eigenvalue turned out to be sucient. The breakthrough was achieved by Hastings in [Has09], where he showed that random mixed unitary channels violate additivity of the von Neumann ent”
Operational Resource Theory of Coherence. (2015, background): “However, often a basis is distinguished, be it the eigenbasis of an observable or of the system’s Hamiltonian, so that conservation laws or even superselection rules apply.”