Quantum entanglement in matrix notation

F. J. Duarte

F.J. Duarte, T S Taylor

Samantha Norrie, Anthony Estey

One of the first challenges that new learners of Quantum Computing face is learning how to use and interpret quantum circuits represented in circuit, Dirac, and matrix notation. It is necessary for learners to understand the different notations used in Quantum Computing in order to ensure that they have a robust comprehension of the field and can make use of a variety of resources. Depending on their technical background, some learners may struggle with certain notations more than others. We present QNotation, a visual tool that helps learners explore the aforementioned notations. Circuit, Dirac, and matrix notation. This allows them to be able to identify the differences and similarities between the different notations. QNotation was built to be used at multiple stages throughout the Quantum Computer learning journey. While one may start using QNotation to help them become familiar with the different notations used in Quantum Computing, the tool can also be used as a visual quantum circuit debugging tool. In addition to QNotation being a tool that can be used by learners, it can also be used by instructors to support the teachings of quantum computing concepts and building blocks, including entanglement and Quantum Fourier Transform.

Ming-Yong Ye, Yong-Sheng Zhang, Guang‐Can Guo

F.J. Duarte

The second edition of Quantum Optics for Engineers: Quantum Entanglement is an updated and extended version of its first edition. New features include a transparent interferometric derivation of the physics for quantum entanglement devoid of mysteries and paradoxes. It also provides a utilitarian matrix version of quantum entanglement apt for engineering applications. Features: Introduces quantum entanglement via the Dirac–Feynman interferometric principle, free of paradoxes. Provides a practical matrix version of quantum entanglement which is highly utilitarian and useful for engineers. Focuses on the physics relevant to quantum entanglement and is coherently and consistently presented via Dirac’s notation. Illustrates the interferometric quantum origin of fundamental optical principles such as diffraction, refraction, and reflection. Emphasizes mathematical transparency and extends on a pragmatic interpretation of quantum mechanics. This book is written for advanced physics and engineering students, practicing engineers, and scientists seeking a workable-practical introduction to quantum optics and quantum entanglement.

Megan Wawro, Kevin Watson, Warren M. Christensen

Upper division physics students do not only come to quantum mechanics with difficulties; they also come with strengths, including the ability to critique and understand the general purposes of the various notations used within quantum mechanics.