H
Howard Barnum
Researcher at University of New Mexico
Publications - 111
Citations - 7077
Howard Barnum is an academic researcher from University of New Mexico. The author has contributed to research in topics: Quantum information & Quantum entanglement. The author has an hindex of 41, co-authored 109 publications receiving 6510 citations. Previous affiliations of Howard Barnum include Hampshire College & University of Copenhagen.
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Further results on the multipartite separable ball
Leonid Gurvits,Howard Barnum +1 more
TL;DR: In this article, it was shown that for an m-qubit quantum system, there is a ball of radius asymptotically approaching kappa 2 −gamma m in Frobenius norm, centered at the identity matrix, of separable (unentangled) positive semidefinite matrices.
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Size of the separable neighborhood of the maximally mixed bipartite quantum state
Leonid Gurvits,Howard Barnum +1 more
Journal ArticleDOI
On quantum coding for ensembles of mixed states
TL;DR: In this article, the authors consider the problem of optimal asymptotically faithful compression for ensembles of mixed quantum states, and prove upper and lower bounds and describe a series of illustrative examples of compression.
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Semidefinite programming characterization and spectral adversary method for quantum complexity with noncommuting unitary queries
TL;DR: In this paper, the authors characterize the existence of an algorithm for such a query problem as equivalent to the feasibility of a certain set of semidefinite programming constraints, or equivalently the infeasibility of a dual of these constraints, which they construct.
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Quantum information processing, operational quantum logic, convexity, and the foundations of physics
TL;DR: In this article, the authors discuss general frameworks for operational theories (sets of possible operational states of a system), in which convexity plays key role, and show that any such theory naturally gives rise to a weak effect algebra when outcomes having the same probability in all states are identified.