diff --git a/README.md b/README.md index 698bf6a..1248829 100644 --- a/README.md +++ b/README.md @@ -28,67 +28,62 @@ This repository is designed to serve as an educational resource, showcasing the Feel free to explore, contribute, and share your insights! - - ## Table of Contents -I. [Predecessors of Quantum Mechanics – Key Mathematicians and Their Contributions](#predecessors-of-quantum-mechanics-key-mathematicians-and-their-contributions) - 1. [Leonhard Euler (1748)](#leonhard-euler-1748) - 2. [Carl Friedrich Gauss (1809)](#carl-friedrich-gauss-1809) - 3. [Joseph Fourier (1822)](#joseph-fourier-1822) - 4. [Srinivasa Ramanujan (1910–1920)](#srinivasa-ramanujan-1910-1920) - 5. [Satyendra Nath Bose (1924)](#satyendra-nath-bose-1924) - -II. [Early 20th Century – Foundations of Quantum Mechanics](#early-20th-century-foundations-of-quantum-mechanics) - 6. [Max Planck (1900)](#max-planck-1900) - 7. [Albert Einstein (1905)](#albert-einstein-1905) - 8. [Niels Bohr (1913)](#niels-bohr-1913) - 9. [Erwin Schrödinger (1926)](#erwin-schroedinger-1926) - 10. [Werner Heisenberg (1927)](#werner-heisenberg-1927) - 11. [Paul Dirac (1928)](#paul-dirac-1928) - -III. [Mid-20th Century – Foundation for Quantum Information](#mid-20th-century-foundation-for-quantum-information) - 12. [John von Neumann (1932)](#john-von-neumann-1932) - 13. [Claude Shannon (1948)](#claude-shannon-1948) - 14. [John S. Bell (1964)](#john-s-bell-1964) - 15. [Stephen Wiesner (1970)](#stephen-wiesner-1970) - 16. [Richard Feynman (1981)](#richard-feynman-1981) - 17. [Gilles Brassard (1984)](#gilles-brassard-1984) - 18. [David Deutsch (1985)](#david-deutsch-1985) - -IV. [1990s and 2000s – Consolidation of Quantum Computing](#1990s-and-2000s-consolidation-of-quantum-computing) - 19. [Artur Ekert (1991)](#artur-ekert-1991) - 20. [Charles Bennett (1993)](#charles-bennett-1993) - 21. [Peter Shor (1994)](#peter-shor-1994) - 22. [Lov Grover (1996)](#lov-grover-1996) - 23. [Seth Lloyd (1996)](#seth-lloyd-1996) - 24. [Alexei Kitaev (1997)](#alexei-kitaev-1997) - 25. [William Wootters (1998)](#william-wootters-1998) - -V. [2010s and 2020s – The Era of Practical Quantum Computing](#2010s-and-2020s-the-era-of-practical-quantum-computing) - 26. [Scott Aaronson (2010–present)](#scott-aaronson-2010-present) - 27. [John Preskill (2012)](#john-preskill-2012) - 28. [Alain Aspect (2022)](#alain-aspect-2022) - 29. [Anton Zeilinger (2022)](#anton-zeilinger-2022) - -VI. [Current Scientists – Pioneers of Modern Quantum Computing](#current-scientists-pioneers-of-modern-quantum-computing) - 30. [Umesh Vazirani (present)](#umesh-vazirani-present) - 31. [Michelle Simmons (present)](#michelle-simmons-present) - 32. [Guglielmo Mazzola (2020–present)](#guglielmo-mazzola-2020-present) - -VII. [Key Concepts and Formulas in Quantum Computing](#key-concepts-and-formulas-in-quantum-computing) - 1. [Superposition](#superposition) - 2. [Entanglement](#entanglement) - 3. [Quantum Gates](#quantum-gates) - 4. [Quantum Measurement](#quantum-measurement) - -VIII. [Additional Relevant Concepts in Quantum Computing](#additional-relevant-concepts-in-quantum-computing) - 1. [Quantum Interference](#quantum-interference) - 2. [Quantum Decoherence](#quantum-decoherence) - 3. [Multiple Quantum States (Qutrits and Qudits)](#multiple-quantum-states-qutrits-and-qudits) - - - +- [Predecessors of Quantum Mechanics](#predecessors-of-quantum-mechanics) + - [Leonhard Euler (1748)](#leonhard-euler-1748) + - [Carl Friedrich Gauss (1809)](#carl-friedrich-gauss-1809) + - [Joseph Fourier (1822)](#joseph-fourier-1822) + - [Srinivasa Ramanujan (1910–1920)](#srinivasa-ramanujan-1910-1920) + - [Satyendra Nath Bose (1924)](#satyendra-nath-bose-1924) + +- [Foundations of Quantum Mechanics](#foundations-of-quantum-mechanics) + - [Max Planck (1900)](#max-planck-1900) + - [Albert Einstein (1905)](#albert-einstein-1905) + - [Niels Bohr (1913)](#niels-bohr-1913) + - [Erwin Schrödinger (1926)](#erwin-schrodinger-1926) + - [Werner Heisenberg (1927)](#werner-heisenberg-1927) + - [Paul Dirac (1928)](#paul-dirac-1928) + +- [Mid-20th Century Contributions](#mid-20th-century-contributions) + - [John von Neumann (1932)](#john-von-neumann-1932) + - [Claude Shannon (1948)](#claude-shannon-1948) + - [John S. Bell (1964)](#john-s-bell-1964) + - [Stephen Wiesner (1970)](#stephen-wiesner-1970) + - [Richard Feynman (1981)](#richard-feynman-1981) + - [Gilles Brassard (1984)](#gilles-brassard-1984) + - [David Deutsch (1985)](#david-deutsch-1985) + +- [Quantum Computing in the 1990s and 2000s](#quantum-computing-in-the-1990s-and-2000s) + - [Artur Ekert (1991)](#artur-ekert-1991) + - [Charles Bennett (1993)](#charles-bennett-1993) + - [Peter Shor (1994)](#peter-shor-1994) + - [Lov Grover (1996)](#lov-grover-1996) + - [Seth Lloyd (1996)](#seth-lloyd-1996) + - [Alexei Kitaev (1997)](#alexei-kitaev-1997) + - [William Wootters (1998)](#william-wootters-1998) + +- [Modern Era of Quantum Computing](#modern-era-of-quantum-computing) + - [Scott Aaronson (2010–present)](#scott-aaronson-2010-present) + - [John Preskill (2012)](#john-preskill-2012) + - [Alain Aspect (2022)](#alain-aspect-2022) + - [Anton Zeilinger (2022)](#anton-zeilinger-2022) + +- [Current Quantum Computing Pioneers](#current-quantum-computing-pioneers) + - [Umesh Vazirani](#umesh-vazirani) + - [Michelle Simmons](#michelle-simmons) + - [Guglielmo Mazzola](#guglielmo-mazzola) + +- [Key Concepts in Quantum Computing](#key-concepts-in-quantum-computing) + - [Superposition](#superposition) + - [Entanglement](#entanglement) + - [Quantum Gates](#quantum-gates) + - [Quantum Measurement](#quantum-measurement) + +- [Additional Concepts in Quantum Computing](#additional-concepts-in-quantum-computing) + - [Quantum Interference](#quantum-interference) + - [Quantum Decoherence](#quantum-decoherence) + - [Qutrits and Qudits](#qutrits-and-qudits)