365 citations
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6 papers · 2 filters
The Computational Power of the W and GHZ states
Ellie D'Hondt, Prakash Panangaden
It is well understood that the use of quantum entanglement significantly enhances the computational power of systems. Much of the attention has focused on Bell states and their mul…
Quantum state transformations and the Schubert calculus
Sumit Daftuar, Patrick Hayden
Recent developments in mathematics have provided powerful tools for comparing the eigenvalues of matrices related to each other via a moment map. In this paper we survey some of th…
Optimal superdense coding of entangled states
Anura Abeyesinghe, Patrick Hayden, Graeme Smith +1
We present a one-shot method for preparing pure entangled states between a sender and a receiver at a minimal cost of entanglement and quantum communication. In the case of prepari…
Aspects of generic entanglement
Patrick Hayden, Debbie W. Leung, Andreas Winter
We study entanglement and other correlation properties of random states in high-dimensional bipartite systems. These correlations are quantified by parameters that are subject to t…
Deriving Tight Bell Inequalities for 2 Parties with Many 2-valued Observables from Facets of Cut Polytopes
David Avis, Hiroshi Imai, Tsuyoshi Ito +1
Relatively few families of Bell inequalities have previously been identified. Some examples are the trivial, CHSH, I_{mm22}, and CGLMP inequalities. This paper presents a large num…
On the distributed compression of quantum information
Charlene Ahn, Andrew Doherty, Patrick Hayden +1
We consider the problem of distributed compression for correlated quantum sources. The classical version of this problem was solved by Slepian and Wolf, who showed that distributed…