Development of quantum superconducting devices to observe quantum states of motion...
Electromechanical devices for microwave-optical transduction
Study of electron fluid dynamics in a twodimensional mesoscopic conductor
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Author(s): |
João Fernando Doriguello Diniz
Total Authors: 1
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Document type: | Master's Dissertation |
Press: | Campinas, SP. |
Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Física Gleb Wataghin |
Defense date: | 2016-06-17 |
Examining board members: |
Marcos César de Oliveira;
Alberto Vazquez Saa;
Alfredo Miguel Ozório de Almeida
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Advisor: | Marcos César de Oliveira |
Abstract | |
Quantum walks are the quantum counterpart to classic random walks and have a crucial role in the design of efficient quantum algorithms that overcome classic algorithms. During the last years a great effort has been dedicated to implement quantum walks experimentally. However, bi-dimensional quantum walk implementations are still scarce and it is precisely starting from two dimensions that there exists some computational gain. This dissertation is based on this necessity to propose a physical system capable of implementing a two-dimensional quantum walk: a superconducting qubit capacitively coupled to a mechanical oscillator. This system has already been studied in the literature and was shown to adequately generate a one-dimensional quantum walk. The dissertation was thus centred in generalizing this system by coupling a second mechanical resonator to the qubit and in demonstrating that this resulting system is theoretically capable of simulating a two-dimensional quantum walk. Simulations of the probability distribution with and without decoherence were conducted. Moreover, we studied the recent connection between relativistic quantum mechanics and quantum walks; more specifically, we revised the resemblance between the Klein-Gordon and Dirac equations and the quantum walk time evolution equations (AU) | |
FAPESP's process: | 14/12617-5 - Implementation of two-dimensional quantum walks |
Grantee: | João Fernando Doriguello Diniz |
Support Opportunities: | Scholarships in Brazil - Master |