Essential Mathematics for Quantum Computing

Demystify quantum computing by learning the math it is built onKey FeaturesBuild a solid mathematical foundation to get started with developing powerful quantum solutionsUnderstand linear algebra calculus matrices complex numbers vector spaces and other concepts essential for quantum computingLearn the math needed to understand how quantum algorithms functionBook DescriptionQuantum computing is an exciting subject that offers hope to solve the world's most complex problems at a quicker pace. It is being used quite widely in different spheres of technology including cybersecurity finance and many more but its concepts such as superposition are often misunderstood because engineers may not know the math to understand them. This book will teach the requisite math concepts in an intuitive way and connect them to principles in quantum computing.Starting with the most basic of concepts 2D vectors that are just line segments in space you'll move on to tackle matrix multiplication using an instinctive method. Linearity is the major theme throughout the book and since quantum mechanics is a linear theory you'll see how they go hand in hand. As you advance you'll understand intrinsically what a vector is and how to transform vectors with matrices and operators. You'll also see how complex numbers make their voices heard and understand the probability behind it all.It's all here in writing you can understand. This is not a stuffy math book with definitions axioms theorems and so on. This book meets you where you're at and guides you to where you need to be for quantum computing. Already know some of this stuff? No problem! The book is componentized so you can learn just the parts you want. And with tons of exercises and their answers you'll get all the practice you need.What you will learnOperate on vectors (qubits) with matrices (gates)Define linear combinations and linear independenceUnderstand vector spaces and their basis setsRotate reflect and project vectors with matricesRealize the connection between complex numbers and the Bloch sphereDetermine whether a matrix is invertible and find its eigenvaluesProbabilistically determine the measurement of a qubitTie it all together with bra-ket notationWho this book is forIf you want to learn quantum computing but are unsure of the math involved this book is for you. If you've taken high school math you'll easily understand the topics covered. And even if you haven't the book will give you a refresher on topics such as trigonometry matrices and vectors. This book will help you gain the confidence to fully understand quantum computation without losing you in the process!