Abstract / Description of output
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.
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.
| Original language | English |
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| Number of pages | 20 |
| DOIs | |
| Publication status | Published - 26 Feb 2018 |
| Event | 14th International Conference on Quantum Physics and Logic - Nijmegen, Netherlands Duration: 3 Jul 2017 → 7 Jul 2017 http://qpl.science.ru.nl/ |
Conference
| Conference | 14th International Conference on Quantum Physics and Logic |
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| Abbreviated title | QPL 2017 |
| Country/Territory | Netherlands |
| City | Nijmegen |
| Period | 3/07/17 → 7/07/17 |
| Internet address |
Keywords / Materials (for Non-textual outputs)
- strong non-locality
- maximal non-locality
- quantum resources
- threequbit states