Quantum gates by adiabatic and superadiabatic probabilistic controlled evolutions

Autor(es)

Benmachiche, Abderrahim ^[1] ; Santos, Alan C. ^[2] ; Messikh, Azeddine ^[3] ; Wahiddin, Mohamed Ridza ^{[1, 4]}

Afiliação do(s) autor(es)

^[1] Int Islamic Univ Malaysia, Fac Informat & Commun Technol, Gombak 53100 - Malaysia

^[2] Univ Fed Sao Carlos, Dept Fis, Rod Washington Luis, Km 235, SP-310, BR-13565905 Sao Carlos, SP - Brazil

^[3] Res Ctr Semicond Technol, Bd Dr Frantz Fanon, Algiers 16038 - Algeria

^[4] Univ Sains Islam Malaysia, Islamic Sci Inst, Cybersecur & Syst Unit, Niiai 71800 - Malaysia

• Tipo de documento: Artigo Científico
• Fonte: EPL; v. 134, n. 5 JUN 2021.
• Citações Web of Science: 0

Resumo

Adiabatic and superadiabatic controlled evolutions are used as universal models for quantum computations, where an auxiliary system is used as the main resource in the theory. While the adiabatic case demands a slow dynamics (so that the adiabatic theorem is satisfied), the superadiabatic model can speed up such process by spending more energy than the adiabatic one. In this paper, we explore a hybrid scheme of controlled evolutions and measurement in order to optimize the thermodynamic cost of implementing quantum gates. By adjusting a free parameter of the theory of controlled evolutions, we show that we can improve the energy cost of the evolution. To this end, we used a model of computation based on adiabatic/superadiabatic evolution and post-selection measurement on the auxiliary qubit. In both cases, adiabatic and superadiabatic, the probabilistic model allows for optimizing the thermodynamics cost of implementing gates. When the system reservoir interaction is taken into account, we show that the superadiabatic probabilistic model is more robust than the adiabatic one. Copyright (C) 2021 EPLA (AU)

• Processo FAPESP: 19/22685-1 - Efeito de memória e transição do regime de desordem fraco ao forte
• Beneficiário: Alan Costa dos Santos
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado