Gallardo, Sebastián L. (2022) Generación de entrelazamiento en circuitos de qubits superconductores y resonadores cuánticos / Entanglement generation in superconducting qubit circuits and quantum resonators. Maestría en Ciencias Físicas, Universidad Nacional de Cuyo, Instituto Balseiro.
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Resumen en español
En este trabajo se realizo un estudio teórico y numérico de la generación de entrelazamiento mediante interferometra Landau-Zener-Stuckelberg (LZS) en arquitecturas de electrodinámica cuántica de circuitos (circuit-QED). Se estudiaron dos tipos de arquitecturas de dos qubits superconductores: una en la cual ambos qubits están acoplados a un resonador compartido y otra en la cual cada qubit esta acoplado a un resonador y además están acoplados de forma directa entre s. En ambos casos los qubits se someten a un forzado armónico y simétrico. Se estudio la dinámica para el régimen unitario en ambas arquitecturas y para el régimen disipativo en la arquitectura con un resonador. Para estudiar el régimen unitario, se utilizaron aproximaciones de onda rotante (RWA) para reducir los Hamiltonianos de las arquitecturas correspondientes a Hamiltonianos efectivos diagonales en bloques, validos en el régimen resonante, donde las frecuencias características de los qubits y los resonadores son similares. Para obtener resultados numéricos se utilizo el formalismo de Floquet y el método de diagonalización del operador evolución para calcular las correspondientes cuasienergías y autoestados de Floquet. Se estudio la dependencia de las poblaciones y concurrencia (una medida de entrelazamiento entre los qubits) como función de los parámetros del sistema y del forzado armónico sobre los qubits. Para estudiar el régimen disipativo, se obtuvieron resultados numéricos usando la ecuación maestra de Floquet-Born-Markov con una RWA moderada aplicada, valida para acoplamiento suficientemente débil al ambiente. Se estudiaron las poblaciones y concurrencia del estado estacionario. Se propusieron dos protocolos para generar estados máximamente entrelazados en la arquitectura de dos qubits acoplados a un resonador compartido. El primero es un método valido en el régimen unitario y consiste en inducir interferometría LZS de dos niveles entre un estado máximamente entrelazado y uno separable, deteniendo el forzado tras un tiempo adecuado. El segundo método hace uso de la disipación y aprovecha las resonancias unitarias inducidas por la asimetría de los acoplamientos qubit-resonador combinadas con procesos de perdida de fotones.
Resumen en inglés
In this work a theoretical and numerical study of entanglement generation via Landau-Zener-Stuckelberg interferometry was done in the context of circuit quantum electrodynamics (circuit-QED) architectures. Two types of architectures containing two superconducting qubits were studied: one in which both qubits are coupled to a shared resonator and another in which each qubit is coupled to a separate resonator and both qubits are coupled directly to each other. In both cases the qubits are subjected to a harmonic and symmetric driving. The dynamics was studied for the unitary regime in both architectures and for the dissipative regime in the architecture with a single resonator. To study the unitary regime, Rotating Wave Approximations (RWA) were made use of to reduce the Hamiltonians of the corresponding architectures to block diagonal effective Hamiltonians, valid in the resonant regime, where the characteristic frequencies of the qubits and the resonators are similar. To obtain numerical results the Floquet formalism and the method of evolution operator diagonalization were employed to calculate the corresponding quasienergies and Floquet eigenstates. The dependence of populations and concurrence (a measure of entanglement between the qubits) was studied as a function of the system and driving parameters. To study the dissipative regime, numerical results were obtained using the Floquet- Born-Markov master equation with a moderate RWA applied, valid for suciently weak coupling to the environment. The populations and concurrence of the stationary state were analysed. Two protocols were proposed to generate maximally entangled states in the architecture of two qubits coupled to a shared resonator. The rst method valid in the unitary regime, and consists on inducing two-level LZS interferometry between a separable and a maximally entangled state, stopping the driving after an adequate amount of time. The second is a method that makes use of dissipation, which consists on utilizing the unitary resonances induced by the asymmetry of the qubit-resonator couplings in combination with photon loss processes.
| Tipo de objeto: | Tesis (Maestría en Ciencias Físicas) |
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| Palabras Clave: | [Entanglement generation; Generación de entrelazamiento; Landau-zener-stückelberg interferometry; Interferometría Landau-Zener-stückelberg; Superconducting qubits; Qubits superconductores; Open quantum systems; Sistemas cuánticos abiertos; Circuit quantum electrodynamics; Electrodinámica cuántica de circuitos; Floquet theory; Teoría de floquet] |
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| Materias: | Física > Computación cuántica |
| Divisiones: | Gcia. de área de Investigación y aplicaciones no nucleares > Gcia. de Física > Materia condensada > Teoría de sólidos |
| Código ID: | 1064 |
| Depositado Por: | Tamara Cárcamo |
| Depositado En: | 12 Jul 2022 09:51 |
| Última Modificación: | 12 Jul 2022 09:51 |
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