A Bank supplies GHZ or W-class entanglement to restore deterministic perfect teleportation from non-maximally entangled pairs via measurement-broadcast or transfer models.
Entanglement of Assistance
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abstract
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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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 entanglement.
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-periphery limit.
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 biseparable.
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.
citing papers explorer
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Assisted quantum teleportation
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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Scalable and deterministic Greenberger-Horne-Zeilinger state generation via graph states-assisted measurements
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 entanglement.
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Logarithmic growth of peripheral entanglement concentrated via noisy measurements in a star network of spins
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-periphery limit.
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Localizing genuine multiparty entanglement in noisy stabilizer states
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 biseparable.
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Controlling gain with loss: Bounds on localizable entanglement in multi-qubit systems
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.