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• W4380028384 endingPage "085101" @default.
• W4380028384 startingPage "085101" @default.
• W4380028384 abstract "Abstract Quantum coherence plays a central role in Grover’s search algorithm. We study the Tsallis relative <?CDATA $alpha $?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi>α</mml:mi> </mml:math> entropy of coherence dynamics of the evolved state in Grover’s search algorithm. We prove that the Tsallis relative <?CDATA $alpha $?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi>α</mml:mi> </mml:math> entropy of coherence decreases with the increase of the success probability, and derive the complementarity relations between the coherence and the success probability. We show that the operator coherence of the first <?CDATA ${H}^{otimes n}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:msup> <mml:mrow> <mml:mi>H</mml:mi> </mml:mrow> <mml:mrow> <mml:mo>⨂</mml:mo> <mml:mi>n</mml:mi> </mml:mrow> </mml:msup> </mml:math> relies on the size of the database <?CDATA $N,$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML overflow=scroll> <mml:mi>N</mml:mi> <mml:mo>,</mml:mo> </mml:math> the success probability and the target states. Moreover, we illustrate the relationships between coherence and entanglement of the superposition state of targets, as well as the production and deletion of coherence in Grover iterations." @default.
• W4380028384 created "2023-06-10" @default.
• W4380028384 creator A5003060790 @default.
• W4380028384 creator A5006745258 @default.
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• W4380028384 date "2023-07-20" @default.
• W4380028384 modified "2023-09-23" @default.
• W4380028384 title "Tsallis relative α entropy of coherence dynamics in Grover′s search algorithm" @default.
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• W4380028384 doi "https://doi.org/10.1088/1572-9494/acdce5" @default.
• W4380028384 hasPublicationYear "2023" @default.
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