01 · Foundations
Mathematical Foundations of Quantum Computing
Start here if you want to strengthen the mathematics needed for quantum computing.
Linear algebra · Dirac notation · Matrix functions · Probability · Monte Carlo
Explore This BookThe Polaris QIS Scaffolding Series
From mathematical foundations to quantum information, algorithms, and applications.
Polaris QIS Publishing
We publish textbooks, courseware, and professional resources that connect research, education, and emerging practice in quantum information science.
The Polaris QIS Scaffolding Series
Begin with the mathematical tools you need, build a strong foundation in quantum computing and information, and then advance to algorithms and applications.
01 · Foundations
Start here if you want to strengthen the mathematics needed for quantum computing.
Linear algebra · Dirac notation · Matrix functions · Probability · Monte Carlo
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02 · Core
Start here if you are ready to learn the fundamental principles and methods of quantum computing.
Qubits · Quantum circuits · Entanglement · Algorithms · Noise and QEC · Quantum information
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03 · Algorithms
Start here if you know the fundamentals and want to explore quantum algorithms and applications.
Algorithmic frameworks · Quantum simulation · Optimization · Quantum machine learning
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Begin with Mathematical Foundations of Quantum Computing if you want to strengthen the mathematics needed for the field. If you are already comfortable with linear algebra and related foundations, begin with Quantum Computing and Information. Choose Quantum Algorithms and Applications after you understand qubits, gates, circuits, and introductory quantum algorithms. More details →
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