Limitations on sharing Bell nonlocality between sequential pairs of observers
arXiv:2102.11574 · doi:10.1103/PhysRevA.104.L060201
Abstract
We give strong analytic and numerical evidence that, under mild measurement assumptions, two qubits cannot both be recycled to generate Bell nonlocality between multiple independent observers on each side. This is surprising, as under the same assumptions it is possible to recycle just one of the qubits an arbitrarily large number of times [P. J. Brown and R. Colbeck, Phys. Rev. Lett. 125, 090401 (2020)]. We derive corresponding 'one-sided monogamy relations' that rule out two-sided recycling for a wide range of parameters, based on a general tradeoff relation between the strengths and maximum reversibilities of qubit measurements. We also show if the assumptions are relaxed to allow sufficiently biased measurement selections, then there is a narrow range of measurement strengths that allows two-sided recycling for two observers on each side, and propose an experimental test. Our methods may be readily applied to other types of quantum correlations, such as steering and entanglement, and hence to general information protocols involving sequential measurements.
arXiv comment6+10 pages, and 2 Figures (v3: Significant numerical evidence for the Conjecture added, with aid of additional author, plus several clarifications and references). Comments are welcome
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- Einstein-Podolsky-Rosen Steering in Two-sided Sequential Measurements with One Entangled Pair
- Recycling qubits for the generation of Bell nonlocality between independent sequential observers
- Projective measurements are sufficient for recycling nonlocality
- Non-locality sharing for a three-qubit system via multilateral sequential measurements
- Limits on sequential sharing of nonlocal advantage of quantum coherence
- Entanglement witnessing by arbitrarily many independent observers recycling a local quantum shared state
- Network nonlocality sharing via weak measurements in the extended bilocal scenario
- Sequential sharing of two-qudit entanglement based on the entropic uncertainty relation
- Recycled entanglement detection by arbitrarily many sequential and independent pairs of observers
- Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
- Sharing nonlocality in quantum network by unbounded sequential observers
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- Sharing Quantum Nonlocality in Star Network Scenarios
- Device-independent self-testing of unsharp measurements
- Sharing preparation contextuality in Bell experiment by arbitrary pair of sequential observers
- Quantifying the intrinsic randomness in sequential measurements
- Secure and robust randomness with sequential quantum measurements
- Unmasking the Polygamous Nature of Quantum Nonlocality
- Sharing EPR steering between sequential pairs of observers
- Sequentially witnessing entanglement by independent observer pairs
- Sharing nonlocality in a network using the quantum violation of chain network inequality
- Generalising the Horodecki criterion to nonprojective qubit measurements
- Recycled detection of genuine multiparty entanglement of unlimitedly stretched array of parties and arbitrarily long series of sequential observers
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- Mermin and Svetlichny inequalities for non-projective measurement observables