Quantum Quantum Textbook For Density Matrix, Pure & Mixed States, +more

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The discussion centers on the challenges faced in a Quantum Mechanics course that is delivering a substantial amount of material quickly, with unclear PowerPoint notes and limited access to the professor. The main focus is on finding a suitable textbook to self-study key concepts introduced in class, including angular momentum algebra, ladder operators, number states, coherent states, squeezed states, pure and mixed states, entanglement, and quantum teleportation. The participant has a foundational understanding from Griffiths' textbook and is seeking recommendations for books that cover quantum optics and quantum information, with a specific mention of Ballentine's "Quantum Mechanics: A Modern Development" as a potential resource.
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A Quantum Mechanics course I am taking is dumping a lot of material on us in a very short time. It's difficult to talk to the professor, and the only assigned class notes are PowerPoint slides which are not clear. So I am looking for a textbook that I can use to teach myself the material.

In our last lecture we were introduced to the following concepts, I would like a text that covers these as well:
  • Relation between angular momentum algebra and the algebra of independent oscillators
  • Something about how the ladder operators for the harmonic oscillator relates to creation and annihilation operators for bosons (not sure what the latter means)
  • Number states
  • Coherent states
  • Squeeze states
  • Squeezed coherent states
  • Pure and mixed states
  • Entanglement
  • Reduced density operator + density operator
  • Quantum teleportation

For the quantum mechanics work we had previously done, we were mostly working from Griffiths, so that is the level of understanding I am coming from.
 
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Try looking at books in quantum optics and information.
 
Im currently reading mathematics for physicists by Philippe Dennery and André Krzywicki, and I’m understanding most concepts however I think it would be better for me to get a book on complex analysis or calculus to better understand it so I’m not left looking at an equation for an hour trying to figure out what it means. So here comes the split, do I get a complex analysis book? Or a calculus book? I might be able to Borrow a calculus textbook from my math teacher study that for a bit and...

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