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    Transformation in HaRe

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    HaRe [?] is a system developed at the University of Kent Computing Laboratory to support refactoring in Haskell. We also want HaRe to be an open platform to support general Haskell program transformation so it can be used by other researchers in the field. This paper demonstrates the facilities HaRe provides for program transformation by implementing a deforestation transformation as a case study

    On the pure state outcomes of Einstein-Podolsky-Rosen steering

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    In the Einstein--Podolsky--Rosen experiment, when Alice makes a measurement on her part of a bipartite system, Bob's part is collapsed to, or steered to, a specific ensemble. Moreover, by reading her measurement outcome, Alice can specify which state in the ensemble Bob's system is steered to and with which probability. The possible states that Alice can steer Bob's system to are called steered states. In this work, we study the subset of steered states which are pure after normalisation. We illustrate that these pure steered states, if they exist, often carry interesting information about the shared bipartite state. This information content becomes particularly clear when we study the purification of the shared state. Some applications are discussed. These include a generalisation of the fundamental lemma in the so-called `all-versus-nothing proof of steerability' for systems of arbitrary dimension.Comment: 7 pages, 0 figures; corrected typos and terminolog
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