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.
- Publication:
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Physical Review A
- Pub Date:
- July 2018
- DOI:
- arXiv:
- arXiv:1712.10227
- Bibcode:
- 2018PhRvA..98a2305S
- Keywords:
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- Quantum Physics
- E-Print:
- 6 pages