Existence and construction of a quantum channel with given inputs and outputs.

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Title: Existence and construction of a quantum channel with given inputs and outputs.
Authors: Guo, ZhiHua1, Cao, HuaiXin1 caohx@snnu.edu.cn
Source: Chinese Science Bulletin. 2012, Vol. 57 Issue 33, p4346-4350. 5p.
Subjects: Quantum computers, Input-output analysis software, Quantum information theory, Quantum information science, Hilbert space, Unitary operators
Abstract: We derive that sufficient and necessary conditions for existence of a quantum channel ϕ and a generalized unitary operation ɛ sending A to B (1 ⩾ i ⩾ k) for two given families { A}, { B} of matrices, respectively. As an application, a sufficient and necessary condition for existence of a unitary duality quantum computer with given input-output states is obtained. [ABSTRACT FROM AUTHOR]
Copyright of Chinese Science Bulletin is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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DbLabel: Engineering Source
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  Data: Existence and construction of a quantum channel with given inputs and outputs.
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  Data: <searchLink fieldCode="DE" term="%22Quantum+computers%22">Quantum computers</searchLink><br /><searchLink fieldCode="DE" term="%22Input-output+analysis+software%22">Input-output analysis software</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+information+theory%22">Quantum information theory</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+information+science%22">Quantum information science</searchLink><br /><searchLink fieldCode="DE" term="%22Hilbert+space%22">Hilbert space</searchLink><br /><searchLink fieldCode="DE" term="%22Unitary+operators%22">Unitary operators</searchLink>
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  Data: We derive that sufficient and necessary conditions for existence of a quantum channel ϕ and a generalized unitary operation ɛ sending A to B (1 ⩾ i ⩾ k) for two given families { A}, { B} of matrices, respectively. As an application, a sufficient and necessary condition for existence of a unitary duality quantum computer with given input-output states is obtained. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Chinese Science Bulletin is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s11434-012-5506-3
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        Text: English
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    Subjects:
      – SubjectFull: Quantum computers
        Type: general
      – SubjectFull: Input-output analysis software
        Type: general
      – SubjectFull: Quantum information theory
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      – SubjectFull: Quantum information science
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      – SubjectFull: Hilbert space
        Type: general
      – SubjectFull: Unitary operators
        Type: general
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      – TitleFull: Existence and construction of a quantum channel with given inputs and outputs.
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              Text: 2012
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