What is the phenomenon of quantum entanglement? If you read popular science literature, there is talk of socks that are red and blue at the same time, but monochromatic - how is that supposed to work? If you read scientific literature, you have to have knowledge of functional analysis.
This book vividly builds the bridge between the experiments that led to quantum entanglement and the algorithm for teleportation, assuming only an elementary knowledge of mathematics.
Author(s): Bettina Just
Publisher: Springer
Year: 2023
Language: English
Pages: 106
City: Berlin
Preface
Contents
1: Introduction
Part I: Quantum Entanglement
2: Photons as Qubits
2.1 The Discovery of Quantum Particles
2.2 Properties of Photons
2.3 The Experiments in this Book
References
3: The First Experiment: Independence
3.1 Design of the Experiment
3.2 Result of the Experiment
3.3 Interpretation of the Result—Independence
4: The Second Experiment: Equality
4.1 Design of the Experiment
4.2 Result of the Experiment
4.3 Interpretation of the Result
4.3.1 Classical Interpretation: Hidden Variables
4.3.2 Quantum Mechanical Interpretation: System State, Instantaneous
5: The Third Experiment: Spooky Action at a Distance
5.1 Setup of the Experiment
5.2 Result of the Experiment
5.3 Interpretation of the Result
5.3.1 Classical Interpretation: Hidden Variables
5.3.2 Quantum Mechanical Interpretation: System State, Instantaneous
References
6: Evaluations and Interpretations
6.1 Structural Observations in the Experiments
6.2 Modeling in Quantum Theory and Philosophical Implications
References
Part II: Quantum Computing with the Example of Teleportation
7: Quantum Algorithms Vividly
8: Quantum Bits and Quantum Registers
8.1 Representation of a Qubit for Algorithms
8.2 Quantum Registers Consisting of Two and Three Qubits
8.3 Measurement in Quantum Registers
Reference
9: Quantum Gates on One Qubit
9.1 Pauli-X, Pauli-Z and Hadamard (X, Z and H): Gates on One Qubit
9.2 X, Z, H, Applied to a Qubit in a Quantum Register
10: CNOT: A Quantum Gate on Two Qubits
10.1 CNOT in a Register Consisting of Two Qubits
10.2 CNOT in a Register Consisting of Three Qubits
References
11: Teleportation
11.1 The Algorithm for Teleportation
11.2 State of Practical Implementation
Reference
12: Further Quantum Algorithms and Hardware
12.1 Further Quantum Algorithms
12.2 Hardware
References
