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Entanglement of Assistance

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arxiv quant-ph/9803033 v1 pith:4DWXXN55 submitted 1998-03-15 quant-ph

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keywords entanglementassistancequantumformationadditivityaveragebelievebipartite
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The newfound importance of ``entanglement as a resource'' in quantum computation and quantum communication compels us to quantify it in as many distinct ways as possible. Here we explore a new measure of entanglement for mixed quantum states of bipartite systems, which we name the Entanglement of Assistance. We show it to be the maximum average entanglement of all pure-state ensembles consistent with the given density matrix. In this sense, the Entanglement of Assistance is a quantity directly dual to the more standard Entanglement of Formation. With the help of lower and upper bounds, we calculate the Entanglement of Assistance for a few cases and use these results to show that it possesses the surprising property of superadditivity. We believe that this may shed some light on the question of additivity for the Entanglement of Formation.

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Cited by 7 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Assisted quantum teleportation

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    A Bank supplies GHZ or W-class entanglement to restore deterministic perfect teleportation from non-maximally entangled pairs via measurement-broadcast or transfer models.

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    For pure tripartite states, the optimal deterministic rate is the minimum of two min-entropies of entanglement, and the direct and strong converse error exponents are given by explicit rate formulas.

  3. Block entanglement bounds distribution of regionally localized entanglement

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    For permutation-symmetric and certain magnetization-sector pure states, the total regionally localized entanglement around a hub is bounded by the block localized entanglement and block entanglement.

  4. Scalable and deterministic Greenberger-Horne-Zeilinger state generation via graph states-assisted measurements

    quant-ph 2024-10 unverdicted novelty 5.0 of 10

    A protocol is presented that grows large entangled multi-qubit states, including generalized GHZ states, from smaller entangled pairs via graph-basis-assisted measurements that truncate Hilbert space and concentrate e...

  5. Logarithmic growth of peripheral entanglement concentrated via noisy measurements in a star network of spins

    quant-ph 2023-07 unverdicted novelty 5.0 of 10

    In a star network of qubits with XYZ Heisenberg interactions, localizable bipartite peripheral entanglement grows logarithmically with periphery size at zero xy-anisotropy and survives noisy measurements in the large-...

  6. Localizing genuine multiparty entanglement in noisy stabilizer states

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    Lower bounds on localizable genuine multiparty entanglement are computed for graph states and toric codes under single-qubit Pauli noise, revealing critical noise strengths beyond which post-measurement states are bis...

  7. Controlling gain with loss: Bounds on localizable entanglement in multi-qubit systems

    quant-ph 2022-06 unverdicted novelty 5.0 of 10

    Derives bounds on localizable entanglement versus lost entanglement for GHZ/W states, shows asymptotic equality for large Dicke states, and cubic scaling in XY/XXZ models, including under phase-flip noise.

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