Week 1 & 2: Foundations of Quantum Computing (Days 1-14)

Day 1-3: Introduction to Quantum Computing

Why Quantum Computing? Potential to solve problems intractable for classical computers and Brief history of quantum computing and also discuss the Quantum computing vs Classical Computing.

Day 4-7: Basics of Quantum Mechanics for QC

Quantum bits (qubits) and their representation using Dirac notation (|0〉 and |1〉). Superposition of basis states. Amplitudes and their significance. Basic suggestions of quantum mechanics. Introduction to Hilbert spaces as the mathematical framework for quantum mechanics. Linear algebra reviews relevant to quantum computing.

Day 8-10: Quantum Gates

Introduction to quantum gates as elementary quantum operations. Basic quantum gates: Hadamard, Pauli-X (NOT), Pauli-Y, Pauli-Z, Phase gate. Two-qubit gates: Controlled-NOT (CNOT) gate. Universality of gate sets. Almost any two-input/output quantum gate is universal with single-input rotation gates.

Day 11-12: Quantum Circuits

Construction of quantum circuits using qubits and quantum gates. The process of quantum computation: initialization, applying gates, and measurement. Quantum measurement: Projective measurements. Measurement outcomes and probabilities.

Day 13: Quantum Measurement

Measurement of Quantum Computing

Day 14: Quantum Register

Quantum Register

Week 3 & 4: Core Quantum Concepts (Days 15-28)

Day 15-16: Superposition and Interference

Day 17-20: Quantum Entanglement

Day 24-25: Automata

Week 5 & 6: Quantum Algorithms (Days 26-42)

Day 26-42: Introduction to Quantum Algorithms

Deutsch's algorithm. Introduction to Grover's database search algorithm. Introduction to Shor's algorithm for factorization.

Week 7 & 8: Quantum Communication, Quantum Error Correction and Cryptography (Days 43-56)

Day 43-45 Quantum Communication

Day 46-55: Quantum Cryptography

Introduction to Quantum Cryptography, Quantum Key Distribution (QKD). Potential impact of Shor's algorithm on modern cryptographic systems. Quantum-safe cryptography.

Day 53-58: Quantum Error Correction

Week 9: Quantum Hardware and Implementations (Days 59-60)

Types of Qubits:

Week 10: Advanced Topics

Quantum Simulator
How Quantum Processors Work
Fault Tolerant Quantum Computation
Quantum Threshold Theorem
Quantum Machine Learning (QML): Introduction to Quantum Machine Learning (QML). Combining quantum computing with machine learning. Quantum algorithms for optimization and learning, Quantum Neural Networks (QNN).

Quantum Programming Languages

Reference Books

Here is a list of reference books and their authors:

'Feynman and Computation' edited by Anthony J.G. Hey
'The Quantum Universe' by A.J.G. Hey and P. Walters (CUP, Cambridge 1987)
'Combinatory Logic I' by H. B. Curry and R. Feys (North-Holland Publishing, 1958)
'Algebraic Topology' by A. Hatcher (Cambridge University Press, 2002)
'Basic Simple Type Theory' by R.J. Hindley (Cambridge University Press, 1997)
'Categories for the Working Mathematician (2nd Ed.)' by S. Mac Lane (Springer-Verlag, 1997)
'Proofs and Types' by J.-Y. Girard, Y. Lafont, and P. Taylor (Cambridge University Press, 1989)
'Quantum computation and quantum information' by Michael A. Nielsen and Isaac Chuang
'Integer programming' by Michele Conforti, Gérard Cornuéjols, and Giacomo Zambelli (Springer International Publishing, 2014)
'Mathematical methods in quantum mechanics' by Gerald Teschl (Graduate Studies in Mathematics, 2009)
'Quantum Computing' by J. Gruska (McGraw Hill, 1999)
'Quantum Computation and Quantum Information' by M. A. Nielsen and I. L. Chuang (Cambridge University Press, 2000)
'The Haskell 98 Report' by S. L. Peyton Jones and J. Hughes (1999)
'Numerical Recipes in C: The Art of Scientific Computing (2nd edn.)' by W. H. Press, S. A. Teukolsky, W. T. Vetterling & B. P. Flannery (Cambridge University Press, Cambridge, 1992)
'Quantum Theory: Concepts and Methods' by A. Peres (Kluwer Academic Publishers, Dordrecht, 1995)
'Statistical Mechanics' by R. P. Feynman (Westview Press, 1998)
'Introduction to Superconductivity' by M. Tinkham (Dover Publications, Inc., Mineola, 2004)
'Density matrix renormalization' by S. Rommer & S. Östlund (Springer, Berlin, 1999)
'Linear Logic' by J.-Y. Girard (Theoretical Computer Science, 50(1), 1987)
'Quantum Computing' by J. Gruska (1999)
'Understanding machine learning: From theory to algorithms' by S. Shalev-Shwartz and S. Ben-David (Cambridge University Press, 2014)
'Machine Learning with Quantum Computers' by M. Schuld and F. Petruccione (Springer, second edition, 2021)
'Quantum Computing: An Applied Approach (1st ed. 2019 ed.)' by J. D. Hidary (Springer, 2019)
'Quantum computation and quantum information' by Isaac Chuang and Michael A Nielsen (2002)
'Quantum Computation and Quantum Information' by M. A. Nielsen and I. L. Chuang (Cambridge Univ. Press, 2000)
'Introduction to Superconductivity (Dover Publications, Inc., Mineola, 2004)' by M. Tinkham
'Statistical Mechanics (Westview Press, 1998)' by R. P. Feynman
'Quantum Theory: Concepts and Methods (Kluwer Academic Publishers, Dordrecht, 1995)' by A. Peres
'Density matrix renormalization (Springer, Berlin, 1999)' by S. Rommer & S. Östlund
'Numerical Recipes in C: The Art of Scientific Computing (Cambridge University Press, Cambridge, 1992), 2nd edn.' by W. H. Press, S. A. Teukolsky, W. T. Vetterling & B. P. Flannery
'Quantum Computation and Quantum Information' by M. A. Nielsen and I. L. Chuang
'Numerical Methods for Nonlinear Partial Differential Equations (Springer)' by S. Bartels (2015)
'Computational Fluid Dynamics (Cambridge University Press)' by T J Chung (2002)
'Mesh Free Methods: Moving Beyond the Finite Element Method (CRC Press)' by G R Liu (2003)
'Smoothed particle hydrodynamics (Rep. Prog. Phys.)' by J J Monaghan (2005)
'Smoothed particle hydrodynamics and its diverse applications (Annu. Rev. Fluid Mech.)' by J J Monaghan (2012)
'Quantum Computation and Quantum Information' by Michael A. Nielsen, Isaac L. Chuang (2000)
'Quantum Programming in QCL' by Bernhard Ömer (2000)
'The Design and Analysis of Computer Algorithms' by Alfred V. Aho, John E. Hopcroft, and Jeffrey D. Ullman (Addison-Wesley, Reading, MA, 1974)
'Quantum Computer Algorithms' by Michele Mosca (D.Phil. Dissertation, Wolfson College, University of Oxford, 1999)
'Codes and Cryptography' by Dominic Welsh (Oxford University Press, Oxford, 1998)
'Quantum Computing' by Philip Kaye, Micale Moza (This source mentions the book but the full title and year might be incomplete based on the context.)
'Linear Logic' by J.-Y. Girard (Theoretical Computer Science, 50:1--102, 1987)
'Quantum Computing' by J. Gruska (1999)
'Mathematical Methods for Physics and Engineering' by K. F. Riley, M. P. Hobson, and S. J. Bence (Cambridge University Press, 1st edition, 1998)
'Quantum computing, Citeseer' by J. Gruska (1999)
'Quantum cryptography and secret-key distillation' by G. Van Assche (Cambridge University Press, 2006)
'The Codebreakers' by David Kahn (Simon and Schuster, 1997)
'The Code Book' by Simon Singh (Fourth Estate, 1999)
'Alice in Quantumland: An Allegory of Quantum Physics' by Robert Gilmore (Copernicus Books, 1995)
'Introducing Quantum Theory' by J. P. Mc

Quantum Computing Course Free in 60 Days

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