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arXiv 1807.04705quant-ph
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量子相干性的非渐近辅助蒸馏

Non-asymptotic assisted distillation of quantum coherence

Bartosz Regula, Ludovico Lami, Alexander Streltsov

摘要:

我们的特点是操作任务的环境辅助蒸馏量子相干性下不同的自由操作集时,只有一个有限的供应的副本,一个给定的状态。我们首先精确地评价了单次辅助的可压缩相干性,并在其上引入了一个光滑熵的半定规划界。我们证明了在2维和3维的所有系统的约束是紧的,这使我们能够获得可计算的表达式的一次蒸馏率,建立一个分析表达式的最佳可实现的保真度的辅助蒸馏的任何有限数量的副本,并完全解决问题的渐近零误差辅助蒸馏的量子比特和qutrit系统。我们的表征表明,在相干性的资源理论中的所有相关的自由操作集具有完全相同的权力,在一次辅助相干蒸馏的任务,并进一步解决了一个猜想,在3维的辅助相干性的可加性。

英文摘要:

We characterize the operational task of environment-assisted distillation of quantum coherence under different sets of free operations when only a finite supply of copies of a given state is available. We first evaluate the one-shot assisted distillable coherence exactly, and introduce a semidefinite programming bound on it in terms of a smooth entropic quantity. We prove the bound to be tight for all systems in dimensions 2 and 3, which allows us to obtain computable expressions for the one-shot rate of distillation, establish an analytical expression for the best achievable fidelity of assisted distillation for any finite number of copies, and fully solve the problem of asymptotic zero-error assisted distillation for qubit and qutrit systems. Our characterization shows that all relevant sets of free operations in the resource theory of coherence have exactly the same power in the task of one-shot assisted coherence distillation, and furthermore resolves a conjecture regarding the additivity of coherence of assistance in dimension 3.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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