Quantum Computing by Mehta, Nihal -- Read -- Imperial Library of Trantor

Index

 Preface

Is This Book for Me? How Will This Book Give Me What I Want? What’s Unique in This Book? Online Resources Acknowledgments

1. Hello Quantum

Types of Quantum Computers Quantum Computing in Thirty Seconds Your First Quantum Program Bottom Line

Comparing Classical to Quantum Computing Modeling Quantum Bits with the Qubelets Model Measuring Qubits Bottom Line Try Your Hand

NOT (X) Gate Controlled NOT (CNOT) Gate Controlled Controlled NOT (CCNOT) Gate Logic Expressions to Quantum Circuit Bottom Line Try Your Hand

4. All Together Now—Quantum SuperpositionAll Together Now—Quantum Superposition

Operating on Qubelets Putting Qubits in Blended States Multi-Qubit Superposition: The Mega-Qubit Triggering Superposition in Practical Quantum Circuits Bottom Line Try Your Hand

Tagging the Optimal Solution Entangling Qubits Entanglement in Quantum Computing Bottom Line Try Your Hand

6. Designer Genes—Custom Quantum StatesDesigner Genes—Custom Quantum States

Quantum States and Probabilities Rotating Qubelets Through Any Angle Universal Quantum Gates Bottom Line

Quantum States as Vectors Quantum Gates as Matrices Intuitively Analyzing the Quantum Gate Matrix Classifying Quantum Gates Sequence of Gates as Matrix Multiplication Bottom Line

Idealized States Redux—Multi-Qubit Version Speed Reading a Gate’s Operation from Its Matrix Two-Qubit Gate Matrices Working with Blended States: Mega-Qubit as a Tensor Design a Teleporting Circuit Bottom Line Try Your Hand

Encrypting with Symmetric Keys Tell-Your-Boss Version: The “Key” Idea The BB84 Key Exchange Mechanism How Real Is BB84? Bottom Line Try Your Hand

10. Quantum Search

Grover’s Algorithm Fundamental Circuit Pattern for Searching Searching for an Optimal Schedule Bottom Line Try Your Hand

11. Where to Go from Here

Well-Known Algorithms Programming with Qiskit Amazon, Google, and Microsoft’s Quantum Computers Bottom Line Try Your Hand

A1. Mathematical Review

Classical Logic Gates and Circuits Boolean Logic Expressions Working with Matrices and Vectors

A2. From Qubelets to the Bloch Sphere

Visualizing the Qubit in 3D Space Writing the Quantum State Using Polar Coordinates Quantum State in a Transformed Space

A3. Quantum Mechanics with Qubelets

Mach-Zehnder Interferometer

A4. Solutions to Exercises

Quantum Bits Solutions Quantum Logic Gates Solutions Quantum Superposition Solutions Quantum Tagging and Entangling Solutions Custom Quantum States Solutions Single Qubit Programs Solutions Multi-Qubit Programs Solutions Quantum Cryptography Solutions Quantum Search Solutions Where to Go from Here Solutions

 Bibliography