Quantum computing is one of those subjects where the wrong first book can end the journey. Open the definitive graduate text before you have the intuition and the linear algebra of qubits looks like an impenetrable wall; start too gently and you never reach anything you can actually compute with. Sequencing solves both problems.
The path that works is to build intuition with accessible introductions, then commit to the standard rigorous textbook, then branch into the specialized topics — error correction and hands-on programming — that turn understanding into capability. Each book below is placed at the right depth for its stage.
Build intuition and foundations
For readers who want an accessible but serious on-ramp, Quantum Computing by Jack Hidary connects the concepts to real algorithms and code, and Quantum Computer Science by David Mermin is a famously clear, physics-grounded introduction. An introduction to quantum computing by Kaye and colleagues offers a rigorous but approachable foundation in the algorithms and complexity. Any of these prepares you for the field's central text.
Master the standard text
The core of the path is Quantum computation and quantum information, the Nielsen and Chuang textbook universally known as the field's bible. It develops qubits, gates, the major algorithms, and information theory with the completeness every serious practitioner is expected to know. Expect to spend real time here; it is the reference the rest of the field points back to.
Error correction and programming
Real quantum computers are noisy, so error correction is not optional. Quantum Error Correction edited by Lidar and Brun surveys the field, and Stabilizer Codes and Quantum Error Correction, Gottesman's foundational work, develops the formalism most modern codes rest on. To make it tangible, Programming Quantum Computers teaches the concepts through actual code you can run, and Quantum computing by Nakahara and Ohmi rounds out the theory with a physicist's rigor.
Read in this order and quantum computing stops feeling like a wall of unfamiliar notation. Follow the full path to go from your first qubit to reading current research and running your own quantum programs.