Minimum Quantum Resources for Strong Non-Locality
Minimum Quantum Resources for Strong Non-Locality
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DOI：
10.4230/lipics.tqc.2017.9
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发表时间：
2017-05
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通讯作者：
S. Abramsky;Rui Soares Barbosa;Giovanni Carù;Nadish de Silva;K. Kishida;Shane Mansfield
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作者：
S. Abramsky;Rui Soares Barbosa;Giovanni Carù;Nadish de Silva;K. Kishida;Shane Mansfield
我们分析了实现强非局域性所需的最小量子资源，例如经典的GHZ结构。我们已经知道，没有一个两量子比特系统，在有限数量的局部测量下，可以实现强非定域性。对于三量子比特系统，我们表明，强非局域性只能在GHZ SLOCC类中实现，并与赤道测量。然而，我们发现，在这个类中有一个无限的家庭的状态，这是成对的非LU-等价的，实现强非局部性与许多测量。这些状态在一个量子比特和其他两个量子比特之间的纠缠度越来越小，需要对后者进行越来越多的本地测量。
We analyse the minimum quantum resources needed to realise strong non-locality, as exemplified e.g. by the classical GHZ construction. It was already known that no two-qubit system, with any finite number of local measurements, can realise strong non-locality. For three-qubit systems, we show that strong non-locality can only be realised in the GHZ SLOCC class, and with equatorial measurements. However, we show that in this class there is an infinite family of states which are pairwise non LU-equivalent that realise strong non-locality with finitely many measurements. These states have decreasing entanglement between one qubit and the other two, necessitating an increasing number of local measurements on the latter.