GHZ states as near-optimal states for reference frame alignment
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2020
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| _version_ | 1866916265276211200 |
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| author | Koochakie, Mear M. R. Jannesary, Vahid Karimipour, Vahid |
| author_facet | Koochakie, Mear M. R. Jannesary, Vahid Karimipour, Vahid |
| contents | Let two coordinate systems, in possession of Alice and Bob, be related to each other by an unknown rotation $R\in SO(3)$. Alice is to send identical states $|ψ_0\ra$ to Bob who will make measurements on the received state and will determine the rotation $R$. The task of Bob is to estimate these parameters of the rotation $R$ by the best possible measurements. Based on the Quantum Fisher Information, we show that Greenberger-Horne-Zeilinger (GHZ) states are near optimal states for this task. Compared to the optimal states proposed before, the advantage of $GHZ$ states are that they can be more easily prepared experimentally, and more importantly, we show concrete measurements which will allow Bob to determine the rotation $R$. We also study the robustness of these states in keeping their encoded information, against common sources of noises. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2004_08797 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | GHZ states as near-optimal states for reference frame alignment Koochakie, Mear M. R. Jannesary, Vahid Karimipour, Vahid Quantum Physics Let two coordinate systems, in possession of Alice and Bob, be related to each other by an unknown rotation $R\in SO(3)$. Alice is to send identical states $|ψ_0\ra$ to Bob who will make measurements on the received state and will determine the rotation $R$. The task of Bob is to estimate these parameters of the rotation $R$ by the best possible measurements. Based on the Quantum Fisher Information, we show that Greenberger-Horne-Zeilinger (GHZ) states are near optimal states for this task. Compared to the optimal states proposed before, the advantage of $GHZ$ states are that they can be more easily prepared experimentally, and more importantly, we show concrete measurements which will allow Bob to determine the rotation $R$. We also study the robustness of these states in keeping their encoded information, against common sources of noises. |
| title | GHZ states as near-optimal states for reference frame alignment |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2004.08797 |