Linear algebra underlying quantum entanglement? Hope this question is appropriate. I think I saw certain claims that quantum entanglement is a certain phenomena that can be explained (or modelled) in terms of tensor products in linear algebra. I wonder if this is the case, and if yes, is there some nice mathematical source? If you have your own insight in the question, I would be very happy to learn about it.
I am asking the question because want to mention it in an undergraduate course on representation theory to cheer up students. 
PS. Since the proposed suggestions are mainly books (or physics literature), I start to suspect that what I was looking for doesn't exist. I guess, I wanted some short piece of text (say 1-20 pages long), that would be additionally purely mathematical. Basically, some compression of information is needed. How to make a 5 minutes talk out of 10 books?
 A: Maybe these books be interesting: 
Linear Algebra for Quantum Theory
Per-Olov Löwdin
Quantum Algorithms via Linear Algebra: A Primer
Richard J. Lipton
Kenneth W. Regan
Quantum Computing: From Linear Algebra to Physical Realizations
Mikio Nakahara
Quantum Mechanics: The Theoretical Minimum
Leonard Susskind
A: A concise and a bit more mathy review is that by M Keyl 
Fundamentals of quantum information theory which is based on a $C^*$ algebra approach.
A: Many introductory books on quantum information theory go over the linear algebraic tools necessary to study the topic, including the tensor product (since it indeed models quantum entanglement). Taking the tensor product of two or more quantum states (pieces of quantum information) is analogous to forming a bitstring out of two or more bits (pieces of classical information).
I'll summarize some references that go into this topic below.
Quantum information books:


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*Quantum Computation and Quantum Information by Nielsen and Chuang (Section 2.1.7)

*The Theory of Quantum Information by Watrous (Section 1.1 and Chapter 6)

*An Introduction to Quantum Computing by Kaye, Laflamme, and Mosca (Sections 2.6 and 2.7)


Linear algebra books:


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*Advanced Linear Algebra by Woerdeman (Section 7.8)


Survey papers:


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*Quantum entanglement by the Horodeckis

*Entanglement detection by Gühne and Tóth

