GHZ states as near-optimal states for reference frame alignment
Abstract Let two coordinate systems, in possession of Alice and Bob, be related to each other by an unknown rotation $$R\in \hbox {SO}(3)$$. Alice is to send identical states $$|\psi _0\rangle $$ to Bob who will make measurements on the received state and will determine the rotation R. The task of B...
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| Autor*in: |
Koochakie, Mear M. R. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 |
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| Übergeordnetes Werk: |
Enthalten in: Quantum information processing - Springer US, 2002, 20(2021), 10 vom: 30. Sept. |
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volume:20 ; year:2021 ; number:10 ; day:30 ; month:09 |
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| DOI / URN: |
10.1007/s11128-021-03243-5 |
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| 520 | |a Abstract Let two coordinate systems, in possession of Alice and Bob, be related to each other by an unknown rotation $$R\in \hbox {SO}(3)$$. Alice is to send identical states $$|\psi _0\rangle $$ 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. We show concrete measurements which will allow Bob to determine the rotation R. This shows that GHZ states, as superposition of macroscopically distinct states, are useful in yet another context in quantum information, namely in communicating the information of a whole coordinate system between two parties where no prior information is available on the relative orientation of the two frames. | ||
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10.1007/s11128-021-03243-5 doi (DE-627)OLC2077080337 (DE-He213)s11128-021-03243-5-p DE-627 ger DE-627 rakwb eng 004 VZ 33.23$jQuantenphysik bkl 54.10$jTheoretische Informatik bkl Koochakie, Mear M. R. verfasserin aut GHZ states as near-optimal states for reference frame alignment 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 Abstract Let two coordinate systems, in possession of Alice and Bob, be related to each other by an unknown rotation $$R\in \hbox {SO}(3)$$. Alice is to send identical states $$|\psi _0\rangle $$ 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. We show concrete measurements which will allow Bob to determine the rotation R. This shows that GHZ states, as superposition of macroscopically distinct states, are useful in yet another context in quantum information, namely in communicating the information of a whole coordinate system between two parties where no prior information is available on the relative orientation of the two frames. Reference frames GHZ states Quantum Fisher information Jannesary, Vahid aut Karimipour, Vahid aut Enthalten in Quantum information processing Springer US, 2002 20(2021), 10 vom: 30. Sept. (DE-627)489255752 (DE-600)2191523-4 (DE-576)9489255750 1570-0755 nnns volume:20 year:2021 number:10 day:30 month:09 https://doi.org/10.1007/s11128-021-03243-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT 33.23$jQuantenphysik VZ 106407910 (DE-625)106407910 54.10$jTheoretische Informatik VZ 106418815 (DE-625)106418815 AR 20 2021 10 30 09 |
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Abstract Let two coordinate systems, in possession of Alice and Bob, be related to each other by an unknown rotation $$R\in \hbox {SO}(3)$$. Alice is to send identical states $$|\psi _0\rangle $$ 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. We show concrete measurements which will allow Bob to determine the rotation R. This shows that GHZ states, as superposition of macroscopically distinct states, are useful in yet another context in quantum information, namely in communicating the information of a whole coordinate system between two parties where no prior information is available on the relative orientation of the two frames. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 |
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Abstract Let two coordinate systems, in possession of Alice and Bob, be related to each other by an unknown rotation $$R\in \hbox {SO}(3)$$. Alice is to send identical states $$|\psi _0\rangle $$ 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. We show concrete measurements which will allow Bob to determine the rotation R. This shows that GHZ states, as superposition of macroscopically distinct states, are useful in yet another context in quantum information, namely in communicating the information of a whole coordinate system between two parties where no prior information is available on the relative orientation of the two frames. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 |
| abstract_unstemmed |
Abstract Let two coordinate systems, in possession of Alice and Bob, be related to each other by an unknown rotation $$R\in \hbox {SO}(3)$$. Alice is to send identical states $$|\psi _0\rangle $$ 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. We show concrete measurements which will allow Bob to determine the rotation R. This shows that GHZ states, as superposition of macroscopically distinct states, are useful in yet another context in quantum information, namely in communicating the information of a whole coordinate system between two parties where no prior information is available on the relative orientation of the two frames. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 |
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GHZ states as near-optimal states for reference frame alignment |
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Jannesary, Vahid Karimipour, Vahid |
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