acknowledgements

None of this would have been possible without the immeasurable support I have received from my family, friends, mentors, and teachers throughout my life. I am deeply grateful to each of you.

Prof. Nguyen Van Dinh — Thank you for being the best supervisor I could have hoped for during my undergraduate years. Your patience, dedication, and thoughtful guidance have shaped the way I think about research and have meant more to me than words can express.

Dr. Hoa — Thank you for being an inspiring mentor in quantum computing, and for your invaluable life advice and continuous encouragement.

Colleagues and research assistants at ICCL Lab — Thank you for the collaborative spirit and the many stimulating discussions. A special thank you to my first co-authors, chị Ngọc and anh Trung, whose partnership and encouragement were invaluable in bringing our work to life.

Professors and colleagues at CECS, VinUniversity — Thank you for fostering an inspiring and supportive academic environment, and for the generous guidance and mentorship throughout my undergraduate studies.

My teachers — I owe a great deal to the educators who laid my foundation across the years: Cô Hiền, Cô Loan, Cô Thái, Cô Mai, Thầy Hiệp, Cô Thúy — thank you for your care, your wisdom, and for believing in me long before I believed in myself.

My family, friends, and my dearest Minh Khuê — Thank you for the unconditional love and the quiet, steady support that kept me going through every challenge. You are my greatest source of strength.