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• W3020994993 endingPage "294002" @default.
• W3020994993 startingPage "294002" @default.
• W3020994993 abstract "We investigate the first law of complexity proposed in arXiv:1903.04511, i.e., the variation of complexity when the target state is perturbed, in more detail. Based on Nielsen's geometric approach to quantum circuit complexity, we find the variation only depends on the end of the optimal circuit. We apply the first law to gain new insights into the quantum circuits and complexity models underlying holographic complexity. In particular, we examine the variation of the holographic complexity for both the complexity=action and complexity=volume conjectures in perturbing the AdS vacuum with coherent state excitations of a free scalar field. We also examine the variations of circuit complexity produced by the same excitations for the free scalar field theory in a fixed AdS background. In this case, our work extends the existing treatment of Gaussian coherent states to properly include the time dependence of the complexity variation. We comment on the similarities and differences of the holographic and QFT results." @default.
• W3020994993 created "2020-05-13" @default.
• W3020994993 creator A5016827114 @default.
• W3020994993 creator A5020420049 @default.
• W3020994993 creator A5022772221 @default.
• W3020994993 creator A5041824947 @default.
• W3020994993 creator A5048674746 @default.
• W3020994993 creator A5072369059 @default.
• W3020994993 date "2020-07-14" @default.
• W3020994993 modified "2023-10-16" @default.
• W3020994993 title "Aspects of the first law of complexity" @default.
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