There is really only one "bible". I recommend solving through it, at least the first 4-5 chapters: - Nielsen and Chuang, Quantum computation and information: m

There is really only one "bible". I recommend solving through it, at least the first 4-5 chapters: - Nielsen and Chuang, Quantum computation and information: mmrc.amss.cas.cn/tlb/201702/W020170224608149940643.pdf While you are reading and solving the above book, I strongly recommend reading: - "Quantum computing since Democritus" by Scott Aaronson, one of the researchers on quantum computation: https://www.scottaaronson.com/democritus/ https://www.scottaaronson.com/democritus/ This book will give you a "flavour" of where the power of quantum computation might be coming from, and the whole host of theoretical issues that surround this domain. What I _highly_ recommend is practicing problem-solving using these resources: (1) Microsoft quantum katas: https://github.com/microsoft/QuantumKatas https://github.com/microsoft/QuantumKatas (2) Codeforces Q# coding contest: https://codeforces.com/msqs2018 https://codeforces.com/msqs2018 Actually programming the circuits in Q# will give you a sense of stuff that's swept under the rug when reading textbooks: initialization of qubit states, a good sense of what "qubits cannot be copied" means, etc. At this point, one ought to have an understand of quantum computation and our current understanding of its power (in particular, the relationship that we don't know how to separate BPP and BQP), how to implement the "common" quantum algorithms in a programming language, and a vivid sense of the "quantumness" of these algorithms. For reference, I speak from experience: (1) My solutions to the quantum katas: https://github.com/bollu/quantum-course-exercises https://github.com/bollu/quantum-course-exercises. (2) My scattered QC notes: https://github.com/bollu/notes/blob/master/quantum-computation/main.pdf https://github.com/bollu/notes/blob/master/quantum-computati... (One can find a full pdf of quantum computing since Democritus relatively easily on the internet if one so chooses.)