QM notes with entanglement, Bell, decoherence, etc.

In summary, quantum mechanics deals with the behavior of particles at the subatomic level and has led to the understanding of phenomena such as entanglement, where particles can be connected in a way that their properties are dependent on each other. The Bell theorem further explores this concept and demonstrates the non-locality of entanglement, where particles can influence each other instantaneously regardless of distance. However, external factors such as decoherence can disrupt the delicate state of entanglement, leading to a loss of quantum coherence and the collapse of the system. These concepts have significant implications for the field of quantum computing and have opened up new possibilities for communication and encryption.
  • #1
Lapidus
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Does anyone know of QM notes (or a review article) that covers entanglement, the measurement problem, Bell inequalities, decoherence, or the delayed choice experiment (or the more recent mesoscopic experiments). So to speak the more modern and the exciting aspects of QM. I think closest to that are the Susskind lecture notes. But browsing the net I came to believe that 99 percent of the notes do not even mention entanglement. That's a bit of a shame and hard to understand.

thanks
 
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  • #2
Most of it you will find in
http://lanl.arxiv.org/abs/quant-ph/0209123
and
http://lanl.arxiv.org/abs/quant-ph/0609163

Those two papers say nothing about decoherence, so for decoherence I recommend
http://lanl.arxiv.org/abs/quant-ph/0312059
http://lanl.arxiv.org/abs/quant-ph/9803052
http://lanl.arxiv.org/abs/quant-ph/0306072

All the lectures above are specialized only to this "modern" stuff. If you want more complete lectures with all the "standard" stuff but also some "modern" stuff, see
http://lanl.arxiv.org/abs/quant-ph/0605180v5

All the above are free lectures. If you want a proper (non-free) book on this stuff, I highly recommend
[URL='https://www.amazon.com/dp/052187534X/?tag=pfamazon01-20[/URL]
https://www.amazon.com/dp/052187534X/?tag=pfamazon01-20
(general textbook with modern stuff included, introductory)

https://www.amazon.com/dp/9814578584/?tag=pfamazon01-20
(general textbook with modern stuff included, advanced)

https://www.amazon.com/dp/B009NV3CW0/?tag=pfamazon01-20
(modern stuff only)

https://www.amazon.com/dp/3540357734/?tag=pfamazon01-20
(decoherence only)
 
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  • #3
That's awesome! Thanks so much, Demystifier!
 
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1. What is entanglement in quantum mechanics?

Entanglement is a phenomenon in quantum mechanics where two or more particles become connected in such a way that the state of one particle affects the state of the other(s), no matter the distance between them. This phenomenon is known as "spooky action at a distance" and is a fundamental aspect of quantum mechanics.

2. What is the Bell inequality and why is it important?

The Bell inequality is a mathematical expression that tests the principle of local realism in quantum mechanics. It states that the correlations between certain measurements on entangled particles cannot be explained by local hidden variables, and therefore, supports the non-locality of quantum mechanics. The Bell inequality is important because it provides a way to experimentally test the validity of quantum mechanics.

3. What is decoherence and how does it affect quantum systems?

Decoherence is the process by which a quantum system interacts with its external environment, causing it to lose its quantum properties and behave classically. This results in the collapse of the wave function and the loss of quantum coherence. Decoherence is a major challenge in quantum computing and quantum information processing as it can lead to errors and loss of information.

4. How does quantum entanglement play a role in quantum computing?

Quantum entanglement is a fundamental resource in quantum computing that allows for the manipulation of multiple quantum bits (qubits) at once. This allows for the creation of more powerful and complex algorithms than classical computing. Entangled qubits can also be used for secure communication through quantum cryptography.

5. Can entanglement be used for faster-than-light communication?

No, entanglement cannot be used for faster-than-light communication. While the state of an entangled particle can be affected instantaneously by a change in its partner's state, this does not violate the speed of light as no information is actually being transmitted between the particles. The information is still limited by the speed of light and cannot be used for communication.

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