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- W2605003204 abstract "Quantum computing and quantum information science are two recently discovered and rapidly growing fields of physics that show substantial promise in providing new and valuable technologies in the foreseeable future. Large-scale quantum computers, if ever realized experimentally, are likely to outperform their classical counterparts in a number of important computational tasks, the most important of which may be the accurate simulation of many-body quantum systems such as the ones encountered in physics, chemistry and life sciences.This thesis investigates the problem of controlling quantum systems for the purpose of performing quantum information processing tasks. The problem is approached from a theoretical and simulational viewpoint. The work contained here encompasses a range of levels of abstraction. Firstly, we discuss the decomposition of abstract multiqubit logic gates into sequences of simple elementary gates. Secondly, we study the local commutational properties of two-qubit gates using local gate invariants. Thirdly, we develop methods for the physical implementation of the elementary gates through the control of specific quantum systems, possibly in the presence of noise and decoherence.We present a new, almost optimal n-qubit gate decomposition based on the cosine-sine decomposition, which utilizes a likewise new intermediate quantum circuit structure we call a uniformly controlled gate. We then show how they can be used in constructing a general state transformation circuit. Both of the resulting circuits can be efficiently implemented using nearest-neighbor gates which makes their physical realization simpler. A local gate invariant is introduced which can be used to assess the suitability of two-qubit gates for serving as the entangling gate in elementary gate libraries. Finally, we develop numerical optimization methods for finding near-optimal control sequences for generating oneand two-qubit gates, both in closed quantum systems and in the presence of Markovian noise.; Kvanttilaskenta ja kvantti-informaatiotiede ovat hiljattain kehitettyja ja nopeasti kasvavia fysiikan aloja, jotka saattavat tuottaa uusia hyodyllisia teknologioita jo lahitulevaisuudessa. Jos suuren mittakaavan kvanttitietokoneita kyetaan joskus valmistamaan, ne todennakoisesti lyovat klassiset vastineensa useissa tarkeissa laskentatehtavissa, joista tarkein saattaa olla fysiikassa, kemiassa ja biotieteissa esiintyvien monihiukkaskvanttisysteemien tarkka simulaatio.Tama vaitoskirja kasittelee kvanttimekaanisten systeemien kontrollointia informaation kasittelemiseksi. Ongelmaa lahestytaan teoreettisesta ja simulationaalisesta nakokulmasta tavoilla, jotka kattavat useita eri abstraktiotasoja. Aluksi kasittelemme abstraktien moniqubittiporttien hajottamista jonoksi elementaariportteja. Seuraavaksi tutkimme kaksiqubittiporttien lokaaleja kommutatiivisia ominaisuuksia kayttaen apuna lokaaleja portti-invariantteja. Lopulta kehitamme menetelmia elementaariporttien toteuttamiseksi kontrolloimalla kvanttisysteemeja, joissa saattaa myos…" @default.
- W2605003204 created "2017-04-14" @default.
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- W2605003204 date "2007-12-04" @default.
- W2605003204 modified "2023-09-27" @default.
- W2605003204 title "From the control of quantum systems to multiqubit logic" @default.
- W2605003204 hasPublicationYear "2007" @default.
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