Book contents
- Frontmatter
- Contents
- Introduction
- 1 Experiment: Detecting Single Quantum Objects
- 2 Description of Quantum Systems in Terms of the Density Matrix
- 3 Experiment: Quantum Processes
- 4 Evolution
- 5 Measurement
- 6 Experiment: Bipartite Systems
- 7 Entanglement
- 8 Experiment: Continuous Quantum Fluctuations
- 9 Continuous Variable Systems
- 10 Experiment: Parameter Estimation
- 11 Theory: Parameter Estimation
- A Basic Postulates of QuantumMechanics: a Reminder
- B Generalized Postulates of Quantum Mechanics
- C Description of Composite Systems
- D Qubits
- E Quantum Particle
- F Quantum Electromagnetic Field
- G Interaction between Light and Atoms
- H Interaction between Light Beams and Linear OpticalMedia
- I Interaction between Light Beams and Nonlinear OpticalMedia
- J Optomechanics
- K Basics of Circuit Quantum Electrodynamics
- References
- Index
7 - Entanglement
Published online by Cambridge University Press: 27 July 2023
With contributions by
Book contents
- Frontmatter
- Contents
- Introduction
- 1 Experiment: Detecting Single Quantum Objects
- 2 Description of Quantum Systems in Terms of the Density Matrix
- 3 Experiment: Quantum Processes
- 4 Evolution
- 5 Measurement
- 6 Experiment: Bipartite Systems
- 7 Entanglement
- 8 Experiment: Continuous Quantum Fluctuations
- 9 Continuous Variable Systems
- 10 Experiment: Parameter Estimation
- 11 Theory: Parameter Estimation
- A Basic Postulates of QuantumMechanics: a Reminder
- B Generalized Postulates of Quantum Mechanics
- C Description of Composite Systems
- D Qubits
- E Quantum Particle
- F Quantum Electromagnetic Field
- G Interaction between Light and Atoms
- H Interaction between Light Beams and Linear OpticalMedia
- I Interaction between Light Beams and Nonlinear OpticalMedia
- J Optomechanics
- K Basics of Circuit Quantum Electrodynamics
- References
- Index
Summary
Chapter devoted to the basic quantum properties of entanglement and separability. Introduces the Schmidt decomposition for pure states and the positive partial transpose criterion for mixed states as entanglement witnesses. Introduces the famous Einstein–Podolsky–Rosen paradox and its implementation in terms of qubits, then the Bell inequality, quickly reviewing the experimental demonstrations that quantum mechanics violates this inequality. Gives examples of the use of entanglement in a quantum algorithm to accelerate an information task, namely a database search (Grover algorithm) and the possibility of teleportation of a quantum state.
Keywords
- Type
- Chapter
- Information
- Quantum Processes and MeasurementTheory and Experiment, pp. 114 - 134Publisher: Cambridge University PressPrint publication year: 2023