Self-study roadmap for Quantum Computing

Prerequisites:

• linear algebra (vectors, matrices, eigenvalues, tensor products)
• complex numbers
• if you know the basics of quantum mechanics then well done
• calculus is not necessary but useful
• Probability theory (i would recommend it for quantum algorithms & information theory)

Basics:

1. For interactive intro: https://quantum.country/qcvc
2. Old is gold yk so go through this playlist: https://www.youtube.com/watch?v=F_Riqjdh2oM&list=PL1826E60FD05B44E4
3. For quantum circuit & gates: https://qiskit.org/textbook/
4. To run simple simple quantum programs: https://quantum-computing.ibm.com/

Intermediate: Welcome homie

1. Principles of Quantum Computation and Information - Volume I then II
2. Quantum algorithms - https://qiskit.org/textbook/ch-algorithms/
3. For physics part: https://www.youtube.com/watch?v=w08pSFsAZvE&list=PL0ojjrEqIyPy-1RRD8cTD_lF1hflo89Iu
4. Practice coding quantum algorithms using Qiskit or Cirq https://quantumai.google/cirq/tutorials

Advance level: I myself not aware of much here but if you wanna explore research oriented side and theoretical knowledge then i know some books.

1. Quantum Computation and Quantum Information by Nielsen & Chuang
2. An Introduction to Quantum Computing by Kaye, Laflamme & Mosca
3. IBM Quantum Experience and Amazon Braket https://aws.amazon.com/braket/ for cloud-based quantum computing.

Quantum computing is vast so learning it in a month or day (humph not possible) you can also learn quantum complexity theory but this is focused on practical quantum computing.