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The GOAT textbook that needs no introduction. I highly recommend reading it from cover to cover if you want to do quantum research. Anything fundamental in quantum science (the Solovay–Kitaev theorem, Shor's algorithm, quantum error correction, and so much more...) is best explained in this book. Undergraduates should be legally banned from doing quantum research if they haven't gone through Chapter 4.

I'm not sure if this is still a thing, but when I was an undergrad, physics nerds used to quarrel over which quantum mechanics textbook was best - Shankar, Ballentine, Sakurai, and so on. I'm team Griffiths - this book is about as friendly as it gets for confused undergraduates. Even so, it keeps a firm grip on advanced topics like atomic physics, WKB theory, Berry phase, and scattering.

The first 20 pages are the most compact account of the classical laws of physics. They aren't meant to be understood on the first pass, but that's why it is rewarding to grasp them after several reads over a few months. I also think Chapter 7 offers great insight for those who wonder how Heisenberg might have arrived at his formulation of quantum mechanics.

The thing about Landau & Lifshitz textbooks (although I've only managed to read these two) is that they take great care to be precise about first principles. It's like travelling back to the origins of ideas like phase space and entropy that you usually take for granted. The first 30 pages lay out the foundations of the laws of macroscopic systems without sweeping anything under the rug.

This book is an encyclopedia of atomic transitions. It is humbling to think of how such deep theoretical work has sustained the marvels that atomic physics experiments give today. And this is only one of the many textbooks from Cohen-Tannoudji! Someone thinks he's satanic though.

One of the struggles with math-y textbooks is getting stuck between one equation and the next because either there's an error or the authors skipped an important step they deemed trivial. This book had none of those issues and really delivered on physical and mathematical intuition. It's a pleasant experience to study the Born–Markov approximation in Chapter 3 and then move beyond it in Chapter 9.

It's amusing that Breuer and Petruccione's book only briefly covers the quantum Langevin equation and doesn't touch on input-output theory, while this one introduces both right at the start of the technical discussion (Chapter 3). In my opinion, this book speaks more directly to experimentalists, which is great for theorists too!

Life is short. Quantum computing is already too much. When am I supposed to learn topology? Fortunately, these lecture notes help you understand why people keep bringing up homology and chain complexes in QEC research. The fundamental idea that encoding quantum information in topology can protect it from noise is just beautiful, and it also underlies today's state-of-the-art QEC demonstrations.

Syndrome extraction for arbitrary CSS codes ({Shor, Steane, Knill}-style EC) is clearly important but rarely gets the spotlight in QEC theory. Chapter 12 gives the cleanest explanation I've seen of the three styles of error correction, all in one place. If you want to learn about the rigorous mathematical theory of fault tolerance, this is a great book to have around. Start with Chapter 10 to get to know r-filters and gadgets - you'll be seeing a lot of them.

An absolute must-read for quantum chemistry. I felt like the authors already knew exactly where I'd get confused and wrote the textbook to give me room to think for myself without getting unnecessarily lost. The notation is carefully chosen, and the explanations are insightful. The problems are also worth solving, especially because there's a very nice solution set.

Electronic structure theory is cool, but if we're talking about chemistry, what about the solvent? This textbook covers the theory of chemical reactions in a realistic setting, where molecules vibrate while surrounded by a condensed-phase environment (solid or liquid). It was the only place where I could find insightful discussions on the effects of vibrational dephasing.

This book is well known for offering the clearest explanation of Feynman's path integral. Unlike more standard textbooks such as Schwartz (which is also amazing) that start by defining field operators, this one goes straight into action. Highly recommended for anyone who wants to understand Feynman diagrams just by reading the first chapter.

I picked up this textbook in hopes of understanding the fractional quantum Hall effect (FQHE). Many would agree that FQHE has all the qualities of a beautiful theory: it offers an unexpected explanation for exotic behavior in nature that shows up so cleanly in experiments. With this textbook in hand, I'm confident that I can pretend to understand it. Perhaps adding it to this list will get me to read the other chapters one day too.

Lie algebras are so important in physics, but they're often crammed into a single lecture, which makes them hard to internalize. Sitting down with Chapter 3 of this book helps. If Lie groups, generators, and algebras make your head spin, this book will at least help you describe the rotation in the standard representation of SO(3). The side-by-side notes in the wide margins are very helpful.

The newest addition to my textbook collection. I picked this up for my latest paper - I needed to understand how errors in matrix elements translate into errors in eigenvalues in a generalized eigenvalue problem. Along the way, I learned a lot of fundamental concepts like QR decomposition and Gershgorin theory. And this is exactly the kind of detour you can enjoy only by reading textbooks!