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• W4387132162 abstract "Sharing entanglement across quantum interconnects is fundamental for quantum information processing. We discuss a practical setting where this interconnect, modeled by a quantum channel, is used once with the aim of sharing high-fidelity entanglement. For any channel, we provide methods to easily find both this maximum fidelity and optimal inputs that achieve it. Unlike most metrics for sharing entanglement, this maximum fidelity can be shown to be multiplicative. This ensures a complete understanding in the sense that the maximum fidelity and optimal inputs found in our one-shot setting extend even when the channel is used multiple times, possibly with other channels. Optimal inputs need not be fully entangled. We find that the minimum entanglement in these optimal inputs can even vary discontinuously with channel noise. Generally, noise parameters are hard to identify and remain unknown for most channels. However, for all qubit channels with qubit environments, we provide a rigorous noise parametrization, which we explain in terms of no cloning. This noise parametrization and a channel representation that we call the standard Kraus decomposition have pleasing properties that make them useful more generally." @default.
• W4387132162 created "2023-09-29" @default.
• W4387132162 creator A5014197466 @default.
• W4387132162 creator A5060135724 @default.
• W4387132162 date "2023-09-28" @default.
• W4387132162 modified "2023-10-18" @default.
• W4387132162 title "Optimal one-shot entanglement sharing" @default.
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• W4387132162 doi "https://doi.org/10.1103/physreva.108.032617" @default.
• W4387132162 hasPublicationYear "2023" @default.
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