Undergrad Trying to understand entanglement and "dense coding"

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Entanglement in quantum mechanics allows for the transmission of two bits of information through a single photon, which raises questions about the connection between computer bits and photons. Understanding this concept requires substantial background knowledge, particularly in linear algebra. The discussion highlights the complexity of nonlocality in quantum entanglement and its implications for dense coding. A recommended resource for deeper insights is Nielsen and Chuang's "Quantum Computation and Quantum Information." Engaging with these materials can enhance comprehension of these advanced topics.
Avner
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First, how is a computer bit attached to a photon? Why does entanglement allow for two bits? How is it nonlocal?
 
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With these questions you are jumping into the deep end of the pool. It will take a lot background knowledge to understand the answers. For a good introduction to the topic, I recommend Nielsen and Chuang's book Quantum Computation and Quantum Information. It's a challenge, but you can get through it if you are competent at linear algebra.
 
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Thanks for pointing me towards the book. I am reading another book on entanglement and it used dense coding as an example, but it was very brief; I wanted to get a better understanding of it. I haven't taken linear algebra yet, so I will refer back to this when I get there.
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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