Entanglement and Berry Phase in a Parameterized Three-Qubit System
Abstract In this paper, we construct a parameterized form of unitary $\breve {R}_{123}(\theta _{1},\theta _{2},\varphi )$ matrix through the Yang-Baxterization method. Acting such matrix on three-qubit natural basis as a quantum gate, we can obtain a set of entangled states, which possess the same e...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Shao, Wenyi [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2016 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media New York 2016 |
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| Übergeordnetes Werk: |
Enthalten in: International journal of theoretical physics - Springer US, 1968, 56(2016), 3 vom: 07. Dez., Seite 643-651 |
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| Übergeordnetes Werk: |
volume:56 ; year:2016 ; number:3 ; day:07 ; month:12 ; pages:643-651 |
| Links: |
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| DOI / URN: |
10.1007/s10773-016-3206-5 |
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OLC2052400710 |
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| 520 | |a Abstract In this paper, we construct a parameterized form of unitary $\breve {R}_{123}(\theta _{1},\theta _{2},\varphi )$ matrix through the Yang-Baxterization method. Acting such matrix on three-qubit natural basis as a quantum gate, we can obtain a set of entangled states, which possess the same entanglement value depending on the parameters 1 and 2. Particularly, such entangled states can produce a set of maximally entangled bases Greenberger-Horne-Zeilinger (GHZ) states with respect to 1 = 2 = π/2. Choosing a useful Hamiltonian, one can study the evolution of the eigenstates and investigate the result of Berry phase. It is not difficult to find that the Berry phase for this new three-qubit system consistent with the solid angle on the Bloch sphere. | ||
| 650 | 4 | |a Quantum entanglement | |
| 650 | 4 | |a Berry phase | |
| 650 | 4 | |a GHZ state | |
| 700 | 1 | |a Du, Yangyang |4 aut | |
| 700 | 1 | |a Yang, Qi |4 aut | |
| 700 | 1 | |a Wang, Gangcheng |4 aut | |
| 700 | 1 | |a Sun, Chunfang |4 aut | |
| 700 | 1 | |a Xue, Kang |4 aut | |
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10.1007/s10773-016-3206-5 doi (DE-627)OLC2052400710 (DE-He213)s10773-016-3206-5-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Shao, Wenyi verfasserin aut Entanglement and Berry Phase in a Parameterized Three-Qubit System 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2016 Abstract In this paper, we construct a parameterized form of unitary $\breve {R}_{123}(\theta _{1},\theta _{2},\varphi )$ matrix through the Yang-Baxterization method. Acting such matrix on three-qubit natural basis as a quantum gate, we can obtain a set of entangled states, which possess the same entanglement value depending on the parameters 𝜃1 and 𝜃2. Particularly, such entangled states can produce a set of maximally entangled bases Greenberger-Horne-Zeilinger (GHZ) states with respect to 𝜃1 = 𝜃2 = π/2. Choosing a useful Hamiltonian, one can study the evolution of the eigenstates and investigate the result of Berry phase. It is not difficult to find that the Berry phase for this new three-qubit system consistent with the solid angle on the Bloch sphere. Quantum entanglement Berry phase GHZ state Du, Yangyang aut Yang, Qi aut Wang, Gangcheng aut Sun, Chunfang aut Xue, Kang aut Enthalten in International journal of theoretical physics Springer US, 1968 56(2016), 3 vom: 07. Dez., Seite 643-651 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:56 year:2016 number:3 day:07 month:12 pages:643-651 https://doi.org/10.1007/s10773-016-3206-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 33.00 VZ AR 56 2016 3 07 12 643-651 |
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10.1007/s10773-016-3206-5 doi (DE-627)OLC2052400710 (DE-He213)s10773-016-3206-5-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Shao, Wenyi verfasserin aut Entanglement and Berry Phase in a Parameterized Three-Qubit System 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2016 Abstract In this paper, we construct a parameterized form of unitary $\breve {R}_{123}(\theta _{1},\theta _{2},\varphi )$ matrix through the Yang-Baxterization method. Acting such matrix on three-qubit natural basis as a quantum gate, we can obtain a set of entangled states, which possess the same entanglement value depending on the parameters 𝜃1 and 𝜃2. Particularly, such entangled states can produce a set of maximally entangled bases Greenberger-Horne-Zeilinger (GHZ) states with respect to 𝜃1 = 𝜃2 = π/2. Choosing a useful Hamiltonian, one can study the evolution of the eigenstates and investigate the result of Berry phase. It is not difficult to find that the Berry phase for this new three-qubit system consistent with the solid angle on the Bloch sphere. Quantum entanglement Berry phase GHZ state Du, Yangyang aut Yang, Qi aut Wang, Gangcheng aut Sun, Chunfang aut Xue, Kang aut Enthalten in International journal of theoretical physics Springer US, 1968 56(2016), 3 vom: 07. Dez., Seite 643-651 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:56 year:2016 number:3 day:07 month:12 pages:643-651 https://doi.org/10.1007/s10773-016-3206-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 33.00 VZ AR 56 2016 3 07 12 643-651 |
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10.1007/s10773-016-3206-5 doi (DE-627)OLC2052400710 (DE-He213)s10773-016-3206-5-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Shao, Wenyi verfasserin aut Entanglement and Berry Phase in a Parameterized Three-Qubit System 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2016 Abstract In this paper, we construct a parameterized form of unitary $\breve {R}_{123}(\theta _{1},\theta _{2},\varphi )$ matrix through the Yang-Baxterization method. Acting such matrix on three-qubit natural basis as a quantum gate, we can obtain a set of entangled states, which possess the same entanglement value depending on the parameters 𝜃1 and 𝜃2. Particularly, such entangled states can produce a set of maximally entangled bases Greenberger-Horne-Zeilinger (GHZ) states with respect to 𝜃1 = 𝜃2 = π/2. Choosing a useful Hamiltonian, one can study the evolution of the eigenstates and investigate the result of Berry phase. It is not difficult to find that the Berry phase for this new three-qubit system consistent with the solid angle on the Bloch sphere. Quantum entanglement Berry phase GHZ state Du, Yangyang aut Yang, Qi aut Wang, Gangcheng aut Sun, Chunfang aut Xue, Kang aut Enthalten in International journal of theoretical physics Springer US, 1968 56(2016), 3 vom: 07. Dez., Seite 643-651 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:56 year:2016 number:3 day:07 month:12 pages:643-651 https://doi.org/10.1007/s10773-016-3206-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 33.00 VZ AR 56 2016 3 07 12 643-651 |
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10.1007/s10773-016-3206-5 doi (DE-627)OLC2052400710 (DE-He213)s10773-016-3206-5-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Shao, Wenyi verfasserin aut Entanglement and Berry Phase in a Parameterized Three-Qubit System 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2016 Abstract In this paper, we construct a parameterized form of unitary $\breve {R}_{123}(\theta _{1},\theta _{2},\varphi )$ matrix through the Yang-Baxterization method. Acting such matrix on three-qubit natural basis as a quantum gate, we can obtain a set of entangled states, which possess the same entanglement value depending on the parameters 𝜃1 and 𝜃2. Particularly, such entangled states can produce a set of maximally entangled bases Greenberger-Horne-Zeilinger (GHZ) states with respect to 𝜃1 = 𝜃2 = π/2. Choosing a useful Hamiltonian, one can study the evolution of the eigenstates and investigate the result of Berry phase. It is not difficult to find that the Berry phase for this new three-qubit system consistent with the solid angle on the Bloch sphere. Quantum entanglement Berry phase GHZ state Du, Yangyang aut Yang, Qi aut Wang, Gangcheng aut Sun, Chunfang aut Xue, Kang aut Enthalten in International journal of theoretical physics Springer US, 1968 56(2016), 3 vom: 07. Dez., Seite 643-651 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:56 year:2016 number:3 day:07 month:12 pages:643-651 https://doi.org/10.1007/s10773-016-3206-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 33.00 VZ AR 56 2016 3 07 12 643-651 |
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10.1007/s10773-016-3206-5 doi (DE-627)OLC2052400710 (DE-He213)s10773-016-3206-5-p DE-627 ger DE-627 rakwb eng 530 VZ 33.00 bkl Shao, Wenyi verfasserin aut Entanglement and Berry Phase in a Parameterized Three-Qubit System 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media New York 2016 Abstract In this paper, we construct a parameterized form of unitary $\breve {R}_{123}(\theta _{1},\theta _{2},\varphi )$ matrix through the Yang-Baxterization method. Acting such matrix on three-qubit natural basis as a quantum gate, we can obtain a set of entangled states, which possess the same entanglement value depending on the parameters 𝜃1 and 𝜃2. Particularly, such entangled states can produce a set of maximally entangled bases Greenberger-Horne-Zeilinger (GHZ) states with respect to 𝜃1 = 𝜃2 = π/2. Choosing a useful Hamiltonian, one can study the evolution of the eigenstates and investigate the result of Berry phase. It is not difficult to find that the Berry phase for this new three-qubit system consistent with the solid angle on the Bloch sphere. Quantum entanglement Berry phase GHZ state Du, Yangyang aut Yang, Qi aut Wang, Gangcheng aut Sun, Chunfang aut Xue, Kang aut Enthalten in International journal of theoretical physics Springer US, 1968 56(2016), 3 vom: 07. Dez., Seite 643-651 (DE-627)129546097 (DE-600)218277-4 (DE-576)014996413 0020-7748 nnns volume:56 year:2016 number:3 day:07 month:12 pages:643-651 https://doi.org/10.1007/s10773-016-3206-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 33.00 VZ AR 56 2016 3 07 12 643-651 |
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Entanglement and Berry Phase in a Parameterized Three-Qubit System |
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Abstract In this paper, we construct a parameterized form of unitary $\breve {R}_{123}(\theta _{1},\theta _{2},\varphi )$ matrix through the Yang-Baxterization method. Acting such matrix on three-qubit natural basis as a quantum gate, we can obtain a set of entangled states, which possess the same entanglement value depending on the parameters 𝜃1 and 𝜃2. Particularly, such entangled states can produce a set of maximally entangled bases Greenberger-Horne-Zeilinger (GHZ) states with respect to 𝜃1 = 𝜃2 = π/2. Choosing a useful Hamiltonian, one can study the evolution of the eigenstates and investigate the result of Berry phase. It is not difficult to find that the Berry phase for this new three-qubit system consistent with the solid angle on the Bloch sphere. © Springer Science+Business Media New York 2016 |
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Abstract In this paper, we construct a parameterized form of unitary $\breve {R}_{123}(\theta _{1},\theta _{2},\varphi )$ matrix through the Yang-Baxterization method. Acting such matrix on three-qubit natural basis as a quantum gate, we can obtain a set of entangled states, which possess the same entanglement value depending on the parameters 𝜃1 and 𝜃2. Particularly, such entangled states can produce a set of maximally entangled bases Greenberger-Horne-Zeilinger (GHZ) states with respect to 𝜃1 = 𝜃2 = π/2. Choosing a useful Hamiltonian, one can study the evolution of the eigenstates and investigate the result of Berry phase. It is not difficult to find that the Berry phase for this new three-qubit system consistent with the solid angle on the Bloch sphere. © Springer Science+Business Media New York 2016 |
| abstract_unstemmed |
Abstract In this paper, we construct a parameterized form of unitary $\breve {R}_{123}(\theta _{1},\theta _{2},\varphi )$ matrix through the Yang-Baxterization method. Acting such matrix on three-qubit natural basis as a quantum gate, we can obtain a set of entangled states, which possess the same entanglement value depending on the parameters 𝜃1 and 𝜃2. Particularly, such entangled states can produce a set of maximally entangled bases Greenberger-Horne-Zeilinger (GHZ) states with respect to 𝜃1 = 𝜃2 = π/2. Choosing a useful Hamiltonian, one can study the evolution of the eigenstates and investigate the result of Berry phase. It is not difficult to find that the Berry phase for this new three-qubit system consistent with the solid angle on the Bloch sphere. © Springer Science+Business Media New York 2016 |
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Du, Yangyang Yang, Qi Wang, Gangcheng Sun, Chunfang Xue, Kang |
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Du, Yangyang Yang, Qi Wang, Gangcheng Sun, Chunfang Xue, Kang |
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10.1007/s10773-016-3206-5 |
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2024-07-03T14:56:04.176Z |
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