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.
 
Ballentine, Quantum Mechanics: A Modern Development
 
The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...

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