Quantum Computing Algorithms

Explore essential quantum computing algorithms and master concepts intuitively with minimal math expertise required Key Features Learn the fundamentals with an introduction to matrix arithmetic Write quantum computing programs in Qiskit—IBM’s publicly available quantum computing website Email your questions directly to the author—no question is too elementary Purchase of the print or Kindle book includes a free PDF eBook Book Description Navigate the quantum computing spectrum with this book, bridging the gap between abstract, math-heavy texts and math-avoidant beginner guides. Unlike intermediate-level books that often leave gaps in comprehension, this all-encompassing guide offers the missing links you need to truly understand the subject. Balancing intuition and rigor, this book empowers you to become a master of quantum algorithms. No longer confined to canned examples, you'll acquire the skills necessary to craft your own quantum code. Quantum Computing Algorithms is organized into four sections to build your expertise progressively. The first section lays the foundation with essential quantum concepts, ensuring that you grasp qubits, their representation, and their transformations. Moving to quantum algorithms, the second section focuses on pivotal algorithms — specifically, quantum key distribution and teleportation. The third section demonstrates the transformative power of algorithms that outpace classical computation and makes way for the fourth section, helping you to expand your horizons by exploring alternative quantum computing models. By the end of this book, quantum algorithms will cease to be mystifying as you make this knowledge your asset and enter a new era of computation, where you have the power to shape the code of reality. What you will learn Define quantum circuits Harness superposition and entanglement to solve classical problems Gain insights into the implementation of quantum teleportation Explore the impact of quantum computing... Cover Page Table of Contents Preface Introduction to Quantum Computing What is quantum computing? Baby steps toward quantum computing Programming a quantum computer The future of quantum computing Further reading Part 1 Nuts and Bolts Chapter 1: New Ways to Think about Bits Technical requirements Bits and logic gates Working with matrices Matrix representation of bits and gates Jupyter notebooks Matrices in Python Summary Questions Chapter 2: What Is a Qubit? Technical requirements A qubit’s values between 0 and 1 Qubits and Qiskit Variations of this chapter’s code Summary Questions Chapter 3: Math for Qubits and Quantum Gates Matrices for qubit states and operations Reversible operations Rotating the Bloch sphere around an axis Summary Questions Chapter 4: Qubit Conspiracy Theories Multi-qubit gates Magic tricks with multi-qubit gates Qubits don’t plan ahead Combining probabilities Summary Questions Further readings Part 2 Making Qubits Work for You Chapter 5: A Fanciful Tale about Cryptography Technical requirements Sharing secrets Is the BB84 algorithm useful? You can’t copy a qubit Qiskit code for the BB84 algorithm Getting more information about a circuit Summary Questions Chapter 6: Quantum Networking and Teleportation Technical requirements Transmitting bits and qubits Teleporting a qubit Teleportation versus cloning Coding the teleportation circuitry Summary Questions Further reading Part 3 Quantum Computing Algorithms Chapter 7: Deutsch’s Algorithm Technical requirements Describing Deutsch’s problem Solving Deutsch’s problem Deutsch’s algorithm F.A.Q. Coding Deutsch’s algorithm Summary Questions Chapter 8: Grover’s Algorithm How long does it take to find what you need? The idea behind Grover’s algorithm Matrices for Grover’s algorithm When to use Grover’s algorithm Gates and circuits for Grover’s algorithm Epilogue – what does have to do with Grover’s algorithm? Summary Questions Chapter 9: Shor’s Algorithm Technical requirements A popular encryption scheme How Shor’s algorithm works Complex numbers Finding a sequence’s period Shoring up your knowledge Illustrating Shor’s algorithm with Qiskit code Summary Further reading Questions Part 4 Beyond Gate-Based Quantum Computing Chapter 10: Some Other Directions for Quantum Computing What is reducibility? Quantum simulation Quantum annealing Quantum neural nets Solving unsolvable problems Summary References Assessments Chapter 1, New Ways to Think about Bits Chapter 2, What Is a Qubit? Chapter 3, Math for Qubits and Quantum Gates Chapter 4, Qubit Conspiracy Theories Chapter 5, A Fanciful Tale about Cryptography Chapter 6, Quantum Networking and Teleportation Chapter 7, Deutsch’s Algorithm Chapter 8, Grover’s Algorithm Chapter 9, Shor’s Algorithm Index Why subscribe? Other Books You May Enjoy Packt is searching for authors like you Share Your Thoughts Download a free PDF copy of this book Work with fully explained algorithms and ready-to-use examples that can be run on quantum simulators and actual quantum computers with this comprehensive guideKey FeaturesGet a solid grasp of the principles behind quantum algorithms and optimization with minimal mathematical prerequisitesLearn the process of implementing the algorithms on simulators and actual quantum computersSolve real-world problems using practical examples of methodsBook DescriptionThis book provides deep coverage of modern quantum algorithms that can be used to solve real-world problems. You'll be introduced to quantum computing using a hands-on approach with minimal prerequisites. You'll discover many algorithms, tools, and methods to model optimization problems with the QUBO and Ising formalisms, and you will find out how to solve optimization problems with quantum annealing, QAOA, Grover Adaptive Search (GAS), and VQE. This book also shows you how to train quantum machine learning models, such as quantum support vector machines, quantum neural networks, and quantum generative adversarial networks. The book takes a straightforward path to help you learn about quantum algorithms, illustrating them with code that's ready to be run on quantum simulators and actual quantum computers. You'll also learn how to utilize programming frameworks such as IBM's Qiskit, Xanadu's PennyLane, and D-Wave's Leap. Through reading this book, you will not only build a solid foundation of the fundamentals of quantum computing, but you will also become familiar with a wide variety of modern quantum algorithms. Moreover, this book will give you the programming skills that will enable you to start applying quantum methods to solve practical problems right away.What you will learnReview the basics of quantum computingGain a solid understanding of modern quantum algorithmsUnderstand how to formulate optimization problems with QUBOSolve optimization problems with quantum annealing, QAOA, GAS, and VQEFind out how to create quantum machine learning modelsExplore how quantum support vector machines and quantum neural networks work using Qiskit and PennyLaneDiscover how to implement hybrid architectures using Qiskit and PennyLane and its PyTorch interfaceWho this book is forThis book is for professionals from a wide variety of backgrounds, including computer scientists and programmers, engineers, physicists, chemists, and mathematicians. Basic knowledge of linear algebra and some programming skills (for instance, in Python) are assumed, although all mathematical prerequisites will be covered in the appendices. Acquire knowledge of quantum chemistry concepts, the postulates of quantum mechanics, and the foundations of quantum computing, and execute illustrations made with Python code, Qiskit, and open-source quantum chemistry packages Key Features Be at the forefront of a quest for increased accuracy in chemistry applications and computing Get familiar with some open source quantum chemistry packages to run your own experiments Develop awareness of computational chemistry problems by using postulates of quantum mechanics Book Description Explore quantum chemical concepts and the postulates of quantum mechanics in a modern fashion, with the intent to see how chemistry and computing intertwine. Along the way you'll relate these concepts to quantum information theory and computation. We build a framework of computational tools that lead you through traditional computational methods and straight to the forefront of exciting opportunities. These opportunities will rely on achieving next-generation accuracy by going further than the standard approximations such as beyond Born-Oppenheimer calculations. Discover how leveraging quantum chemistry and computing is a key enabler for overcoming major challenges in the broader chemical industry. The skills that you will learn can be utilized to solve new-age business needs that specifically hinge on quantum chemistry What you will learn Understand mathematical properties of the building blocks of matter Run through the principles of quantum mechanics with illustrations Design quantum gate circuit computations Program in open-source chemistry software packages such as Qiskit Execute state-of-the-art-chemistry calculations and simulations Run companion Jupyter notebooks on the cloud with just a web browser Explain standard approximations in chemical simulations Who this book is for Professionals interested in chemistry and computer science at the early stages of learning, or interested in a career of quantum computational chemistry and quantum computing, including advanced high school and college students. Helpful to have high school level chemistry, mathematics (algebra), and programming. An introductory level of understanding Python is sufficient to read the code presented to illustrate quantum chemistry and computing This book is a modern presentation of quantum chemical concepts and how it relates to quantum computing to solve problems, focusing on a basic understanding of matter and the building blocks of molecules. We take a deep dive into the postulates of quantum mechanics and highlight the mathematics involved to solve problems.