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arxiv: 1708.05556 · v1 · submitted 2017-08-18 · 🪐 quant-ph

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The Elegant Joint Quantum Measurement and some conjectures about N-locality in the Triangle and other Configurations

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classification 🪐 quant-ph
keywords measurementconfigurationsjointn-localityprobabilityquantumtrianglebeen
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In order to study N-locality without inputs in long lines and in configurations with loops, e.g. the triangle, we introduce a natural joint measurement on two qubits different from the usual Bell state measurement. The resulting quantum probability $p(a_1,a_2,...,a_N)$ has interesting features. In particular the probability that all results are equal is that large, while respecting full symmetry, that it seems highly implausible that one could reproduce it with any N-local model, though - unfortunately - I have not been unable to prove it.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The minimal example of quantum network Bell nonlocality

    quant-ph 2026-05 unverdicted novelty 8.0

    Quantum nonlocality is possible in the triangle network with no inputs and binary outputs, which is the smallest such scenario by number of variables and outcomes.

  2. Network Nonlocality with Separable Measurements

    quant-ph 2026-04 unverdicted novelty 7.0

    Separable measurements augmented with classical feedforward suffice to certify full network nonlocality and minimal network nonclassicality while enabling device-independent randomness quantification.