Continuous variable entanglement

In summary, the speaker is looking for recommendations for introductory material on continuous-variable, 2 particle entanglement that is not too difficult. They have found some resources online but they were too advanced for them. They are hoping to find notes similar to the ones they have learned from, that focus on basic calculations rather than abstract mathematics or complex quantum mechanics concepts. Some suggestions are a recent textbook on quantum processes, systems, and information and an introductory book on quantum optics.
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Hi all,

I have learned the very basics of entanglement (discrete, 2 particle systems) and was hoping that someone can recommend introductory (undergrad-level) material for continuous-variable, 2 particle entanglement. Stuff I have found online so far (like this: https://www.worldscientific.com/doi/10.1142/S0219749903000371) have been a little too difficult for me.

The set of notes I have learned entanglement from is based on: http://www1.spms.ntu.edu.sg/~ydchong/teaching/PH4401_02_entanglement.pdf

It'd be nice to find notes that are similar to the one above, that perhaps don't go too deeply into abstract mathematics or exotic QM concepts but go into how to perform basic calculations. Many thanks in advance!
 
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Related to Continuous variable entanglement

1. What is continuous variable entanglement?

Continuous variable entanglement is a type of quantum entanglement where the properties of two or more particles are linked together in a continuous range of values, such as position or momentum. This differs from discrete variable entanglement, where the properties are linked in a discrete set of values, such as spin states.

2. How is continuous variable entanglement created?

Continuous variable entanglement is typically created through a process called parametric down-conversion, where a laser beam is passed through a non-linear crystal to produce two entangled beams with continuous variable properties.

3. What are the potential applications of continuous variable entanglement?

Continuous variable entanglement has potential applications in quantum communication, quantum computing, and quantum sensing. It can also be used to study fundamental aspects of quantum mechanics and test the limits of our understanding of the universe.

4. How is continuous variable entanglement different from discrete variable entanglement?

The main difference between continuous variable entanglement and discrete variable entanglement is the range of values that the entangled properties can take. Continuous variable entanglement involves a continuous range of values, while discrete variable entanglement involves a discrete set of values.

5. What challenges are associated with continuous variable entanglement?

One of the main challenges of continuous variable entanglement is maintaining the entanglement over long distances and in noisy environments. Another challenge is finding ways to manipulate and measure the continuous variable properties of the entangled particles with high precision.

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