Foundations of Quantum Mechanics: from Photons to Quantum Computers
Quantum computers are the proposed centerpieces of a revolutionary, 21st century quantum information technology. Ideal for undergraduate and graduate courses in modern quantum physics, Foundations of Quantum Mechanics: From Photons to Quantum Computers takes the reader into the fascinating world of quantum mechanics and continues on an in-depth study of quantum information and quantum computing, including an entire chapter on the future of quantum technology. This accessible text with modern...
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Quantum Computers Are The Proposed Centerpieces Of A Revolutionary, 21St Century Quantum Information Technology. Ideal For Undergraduate And Graduate Courses In Modern Quantum Physics, Foundations Of Quantum Mechanics: From Photons To Quantum Computers Takes The Reader Into The Fascinating World Of Quantum Mechanics And Continues On An In-Depth Study Of Quantum Information And Quantum Computing, Including An Entire Chapter On The Future Of Quantum Technology. This Accessible Text With Modern Applications Focuses On What Is “Quantum” About Quantum Mechanics; Topics Discussed Include The EPR Paradox, Entanglement, Teleportation, Bell’S Theorem, Quantum Computing, And Code-Breaking With Quantum Computers.
Preface ix1 Photons 11.1 Introduction 11.2 Young's Double-Slit Experiment 21.3 Photoelectric Effect: Einstein's Quanta 101.4 Experiment of Aspect and Collaborators 131.5 Properties of the Photon 181.6 Summary 22Chapter Review Exercises 222 Wave-Particle Duality 252.1 Introduction 252.2 A Diffraction Experiment with Photons 262.3 Young's Double-Slit Experiment Revisited 292.4 Three Rules of Quantum Mechanics 342.5 Two-Slit Which-Way Experiment 372.6 Summary 40Chapter Review Exercises 423 The Machinery of Quantum Mechanics 433.1 Introduction 433.2 Schrödinger's Equation 443.3 Observables 493.4 Spectral Theory 623.5 Dirac Notation 903.6 Heisenberg Picture 1013.7 Two-Level Systems 1053.8 Summary 120Chapter Review Exercises 1214 Measurement 1254.1 Introduction 1254.2 von Neumann Measurement 1284.3 Uncertainty Principle 1354.4 No-Cloning Theorem 1384.5 Quantum Zeno Effect 1414.6 Summary 145Chapter Review Exercises 1465 Interaction-Free Measurements 1495.1 Introduction 1495.2 Seeing in the Dark: Conceptual Scheme 1515.3 Elitzur-Vaidman Scheme 1545.4 Optimal Interaction-Free Measurements 1595.5 Summary 165Chapter Review Exercises 1666 EPR Paradox 1696.1 Introduction 1696.2 Hallmarks of Physical Theories 1706.3 EPR and Reality 1746.4 Bell's Theorem 1826.5 Mermin's Reality Machine 1916.6 Summary 194Chapter Review Exercises 1967 Classical and Quantum Information 1977.1 Introduction 1977.2 Bits and Qubits 1997.3 Classical Gates 2027.4 Quantum Gates 2057.5 Classical and Quantum Circuits 2097.6 Teleportation 2137.7Summary 220Chapter Review Exercises 2218 Quantum Computing 2238.1 Introduction 2238.2 Our First Quantum Computer 2248.3 Deutsch's Algorithm 2278.4 Deutsch-Jozsa Algorithm 2328.5 Grover's Search Algorithm 2388.6 Summary 246Chapter Review Exercises 2479 Classical Cryptology 2519.1 Introduction 2519.2 Private-Key Cryptosystems 2529.3 RSA Public-Key Cryptosystem 2549.4 How Does RSA Work? 2609.5 Why is Integer Factorization So Difficult? 2629.6 Summary 265Chapter Review Exercises 26610 Quantum Factoring 26710.1 Introduction 26710.2 Miller's Algorithm 26810.3 Quantum Fourier Transform 27010.4 Shor's Algorithm 27410.5 Summary 280Chapter Review Exercises 28011 Ion-Trap Quantum Computers 28111.1 Introduction 28111.2 Linear Radio-Frequency Ion Trap 28211.3 Laser Cooling 28711.4 Cirac-Zoller Scheme 29311.5 Ca+ Quantum Computer 29711.6 Summary 300Chapter Review Exercises 30112 Outlook 30312.1 Introduction 30312.2 Quantum Internet 30412.3 Quantum Cryptography 30612.4 Quantum Computing 30712.5 Summary 309Appendix 311Index 313
