Minimum quantum resources for strong non-locality

Samson Abramsky, Rui Soares Barbosa, Giovanni Carù, Nadish de Silva, Kohei Kishida, Shane Mansfield

Research output: Contribution to conferencePaperpeer-review


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.
Original languageEnglish
Number of pages20
Publication statusPublished - 26 Feb 2018
Event14th International Conference on Quantum Physics and Logic - Nijmegen, Netherlands
Duration: 3 Jul 20177 Jul 2017


Conference14th International Conference on Quantum Physics and Logic
Abbreviated titleQPL 2017
Internet address


  • strong non-locality
  • maximal non-locality
  • quantum resources
  • threequbit states

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