Quantum Computation and Quantum Information, Michael A. Nielsen and Isaac L. Chuang, 2010 (Cambridge University Press)DOI: 10.1017/CBO9780511976667 - The definitive textbook for quantum computation, covering Hilbert spaces, tensor products, entanglement, and operators, which are fundamental to describing quantum states and their evolution.
Quantum Machine Learning, Maria Schuld, Francesco Petruccione, 2021 (Springer)DOI: 10.1007/978-3-030-83096-2 - Provides an introduction to quantum machine learning, building upon the linear algebra foundations of quantum mechanics to explain QML algorithms and their implementations.
Quantum machine learning: A review and outlook, Vedran Dunjko, Hans J. Briegel, 2018Reports on Progress in Physics, Vol. 81 (IOP Publishing)DOI: 10.1088/1361-6633/aab406 - A review of quantum machine learning, discussing the theoretical underpinnings and potential applications, providing context for the role of advanced linear algebra.