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Single-copy entanglement detection

2017/05/31 by Aleksandra Dimić, Borivoje Dakić · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1038/s41534-017-0055-x

published as npj Quantum Information 4, 11 (2018) · published version

arxiv created 2018/03/06 · arxiv updated 2018/03/07

Abstract

One of the main challenges of quantum information is the reliable verification of quantum entanglement. The conventional detection schemes require repeated measurement on a large number of identically prepared systems. This is hard to achieve in practice when dealing with large-scale entangled quantum systems. In this letter we develop a novel method by formulating verification as a decision procedure, i.e. entanglement is seen as the ability of quantum system to answer certain "yes-no questions". We show that for a variety of large quantum states even a single copy suffices to detect entanglement with a high probability by using local measurements. For example, a single copy of a 16-qubit k-producible state or one copy of 24-qubit linear cluster state suffices to verify entanglement with more than 95% confidence. Our method is applicable to many important classes of states, such as cluster states or ground states of local Hamiltonians in general.

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