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Abstrak :
Sebuah sistem kuantum terbuka rentan terhadap dekoherensi. Pada sebuah nitrogen-vacancy (NV) center qubit, dekoherensi disebabkan karena noise acak pada frekuensi Larmor yang muncul akibat interaksi dengan spin bath di sekitarnya. Peluruhan yang terjadi bersifat Gaussian, yang berarti proses ini secara matematik dapat dimodelkan dengan proses Ornstein-Uhlenbeck (OU). Kalkulasi teoretik dilakukan untuk menentukan parameter OU yang cocok berdasarkan besaran yang diperoleh dari eksperimen. Penulis mempelajari efek delta noise yang mengakibatkan dekoherensi dan menemukan bahwa ia mengganggu pulsa dengan durasi panjang. Sementara itu, ketidakpastian amplitudo kontrol, yang disebut epsilon noise dan dimodelkan pula dengan proses OU, bertanggung jawab mengakibatkan dephasing pada pulsa kontrol, yang menganggu operasi dengan banyak pulsa. Bersama-sama, keduanya mengganggu operasi qubit sebagaimana ditunjukkan dengan hasil simulasi beberapa dynamical decoupling (DD) sequences. Untuk melawan efek dari kedua OU noise ini, penulis mempelajari performa algoritma quantum optimal control (QOC) yang bernama Dressed Chopped Random Basis (dCRAB) dalam membentuk pulsa kontrol, dengan meminimasi sebuah cost function yang dirumuskan dengan sesuai. Pengurangan cost function rata-rata sebesar 37% diperoleh dengan optimisasi cepat dari pulsa kontrol. Pulsa-pulsa teroptimisasi ini, dipalikasikan pada DD sequences yang sama, menunjukkan peningkatan performa yang lebih dekat dengan versi idealnya. ......Open quantum systems are vulnerable to decoherence. In a nitrogen-vacancy (NV) center qubit, decoherence is caused by a random noise on the Larmor frequency resulting from the interaction with the surrounding spin bath. The resulting decay is Gaussian, which suggests that the Ornstein-Uhlenbeck (OU) process may be used to model the decoherence mathematically. A theoretical calculation is done to find the appropriate OU parameters based on experimentally obtained quantities and serves as the foundation for the numerical simulations. The author studies the effect of the decoherence-inducing delta noise and finds that it interrupts pulses with long durations. Meanwhile, the pulse amplitude uncertainty, called the epsilon noise and likewise modeled as an OU process, is responsible for the dephasing of control pulses, interrupting the qubit for operations with many pulses. Together, these noises interrupt the qubit operations, as exhibited by the simulation results of several dynamical decoupling (DD) sequences. To counteract the effect of the OU noises, the author studies the performance of the Dressed Random Choppedc Basis (dCRAB) quantum optimal control (QOC) algorithm in shaping the control pulses, by minimizing an aptly formulated cost function. An average cost function reduction of 37% is obtained from quick optimizations of the control pulses. These optimized pulses, applied to the same DD sequences, show increased performance closer to the ideal version.

Abstrak :
This book presents the various types of coherent states introduced and studied in the physics and mathematics literature and describes their properties together with application to quantum physics problems. It is intended to serve as a compendium on coherent states and their applications for physicists and mathematicians, stretching from the basic mathematical structures of generalized coherent states in the sense of Perelomov via the semiclassical evolution of coherent states to various specific examples of coherent states (hydrogen atom, quantum oscillator, ...).

Abstrak :
Diffusion in solids at moderate temperatures is a well-known phenomenon. However, direct experimental evidence about the responsible atomic-scale mechanisms has been scarce, due to difficulties in probing the relevant length- and time-scales. The present thesis deals with the application of X-ray Photon Correlation Spectroscopy (XPCS) for answering such questions. This is an established method for the study of slow dynamics on length-scales of a few nanometres. The scattered intensity in the diffuse regime, i.e. corresponding to atomic distances, is very low, however, and so it has so far been considered impossible to use XPCS for this problem. Threefold progress is reported in this work. It proposes a number of systems selected for high diffuse intensity, it optimizes the photon detection and data evaluation procedures, and it establishes theoretical models for interpretating the results. Together these advances allowed the first successful atomic-scale XPCS experiment, which elucidated the role of preferred configurations for atomic jumps in a copper-gold alloy.