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‎README.md‎

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