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Direct estimation of functionals of density operators by local operations and classical communication
Quantum Physics · Submitted 18 Apr 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We present a method of determining important properties of a shared bipartite quantum state, within the ``distant labs'' paradigm, using \emph{only} local operations and classical communication (LOCC).
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We present a method of determining important properties of a shared bipartite quantum state, within the ``distant labs'' paradigm, using \emph{only} local operations and classical communication (LOCC). We apply this procedure to spectrum estimation of shared states, and locally implementable structural physical approximations to incompletely positive maps. This procedure can also be applied to the estimation of channel capacity and measures of entanglement.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present a method of determining important properties of a shared bipartite quantum state, within the ``distant labs'' paradigm, using \emph{only} local operations and classical communication (LOCC). | contribution 0.99 | 0.93 | 0.62 | asserted 1.00 |
| s1 | We apply this procedure to spectrum estimation of shared states, and locally implementable structural physical approximations to incompletely positive maps. | contribution 0.90 | 0.88 | 0.12 | asserted 1.00 |
| s2 | This procedure can also be applied to the estimation of channel capacity and measures of entanglement. | contribution 0.70 | 0.59 | 0.13 | hedged possibility 0.80 |
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Original abstract
We present a method of determining important properties of a shared bipartite quantum state, within the ``distant labs'' paradigm, using \emph{only} local operations and classical communication (LOCC). We apply this procedure to spectrum estimation of shared states, and locally implementable structural physical approximations to incompletely positive maps. This procedure can also be applied to the estimation of channel capacity and measures of entanglement.
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