Steering a single system sequentially by multiple observers

Abstract

Quantum mechanics puts a restriction on the number of observers who can simultaneously steer another observer's system, known as the monogamy of steering. In this work we find the limit of the number of observers (Bobs) who can steer another party's (Alice's) system invoking a scenario where half of an entangled pair is shared between a single Alice in one wing and several Bobs on the other wing, who act sequentially and independently of each other. When all the observers measure two dichotomic observables, we find that two Bobs can steer Alice's system going beyond the monogamy restriction. We further show that three Bobs can steer Alice's system considering a three-settings linear steering inequality, and then conjecture that at most $n$ Bobs can demonstrate steering of Alice's system when steering is probed through an $n$-settings linear steering inequality.

6 pages

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• Sharing non-locality and non-trivial preparation contextuality using same family of Bell expressions
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• Limitations on sharing Bell nonlocality between sequential pairs of observers
• Experimental Certification of Sustained Entanglement and Nonlocality after Sequential Measurements
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• Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
• Einstein-Podolsky-Rosen Steering in Two-sided Sequential Measurements with One Entangled Pair
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• Limits on sequential sharing of nonlocal advantage of quantum coherence
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• Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
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• Sharing Quantum Nonlocality in Star Network Scenarios
• Device-independent self-testing of unsharp measurements
• Eavesdropping a Quantum Key Distribution network using sequential quantum unsharp measurement attacks
• Ability of unbounded pairs of observers to achieve quantum advantage in random access codes with a single pair of qubits
• Creating quantum correlations in generalized entanglement swapping
• Unbounded Sharing of Nonlocality Using Projective Measurements
• Sharing preparation contextuality in Bell experiment by arbitrary pair of sequential observers
• Resource theoretic efficacy of the single copy of a two-qubit entangled state in a sequential network
• Sharing quantum steering among multiple Alices and Bobs via a two-qubit Werner state
• Self-testing of multiple unsharpness parameters through sequential violations of non-contextual inequality
• Limits of network nonlocality probed by time-like separated observers
• Sequential Reattempt of Telecloning
• Robustness of Higher Dimensional Nonlocality against dual noise and sequential measurements
• Classical Limits and Contextuality in a Scenario of Multiple Observers
• Sharing EPR steering between sequential pairs of observers
• Remote state preparation by multiple observers using a single copy of a two-qubit entangled state
• Environmental effects on nonlocal correlations
• Robust certification of quantum instruments through a sequential communication game
• Recovery of resources through sequential noisy measurements
• Device-independent certification of degeneracy-breaking measurements
• Security of Device-independent Quantum Key Distribution under Sequential Attack
• Sequential information theoretic protocols in continuous variable systems