Textbooks Currently Reading and Homework Solutions
- Charged Particle Traps by Fouad G. Major, Viorica N. Gheorghe, and Günther Werth (2005).
- Charged Particle Traps II by Günther Werth, Viorica N. Gheorghe, and Fouad G. Major (2009).
- Quantum Computation and Quantum Information by Michael A. Nielsen and Isaac L. Chuang (2010).
- Spacetime and Geometry: An Introduction to General Relativity by Sean M. Carroll (2019).
- Mathematical Physics by Robert Geroch (1985).
- Quantum Computer Science by N. David Mermin (2007).
- Quantum Field Theory of Many-Body Systems by Xiao-Gang Weng (2004).
Manuscripts
- Nonlinear Optics: Second-Order, White Light Continuum Generation, and Two-Photon Absorption by Brandon J. Furey (2018).
Fun Presentations
- Quantum Mechanics Lecture 1: Waves, superposition, entanglement, and qubits by Brandon J. Furey (2020).
- Comet C/2020 F3 Neowise by Brandon J. Furey (2020).
Courses
- Deutsch A1 (German as a foreign language) by Mag. Dr. Andrea Zöhrer (2022).
Universität Innsbruck
Textbooks: Netzwerk neu A1 Kursbuch mit Audios und Videos by Stefanie Dengler, Paul Rusch, Helen Schmitz, and Tanja Sieber (2019) and Netzwerk neu A1 Übungsbuch mit Audios by Stefanie Dengler, Paul Rusch, Helen Schmitz, and Tanja Sieber (2019).
- Coursera: Machine Learning by Prof. Andrew Ng (ongoing).
Coursera Inc. by Stanford University
Textbook: online course material - STAQ Quantum Ideas Virtual Summer School moderated by Prof. Ken Brown (2021).
Duke University
Lecturers: Prof. Akimasa Miyake (U. New Mexico), Prof. Aram Harrow (MIT), Prof. Sophia Economou (Virginia Tech), Dr. David McKay (IBM), Dr. Abhinav Kandala (IBM), Prof. Crystal Noel (Duke U.), Dr. Nicholas Rubin (Google), Prof. Thomas Searles (Howard U.), Prof. Heather Lewandowski (U. Colorado-Boulder), Casey Duckering (U. Chicago), Prof. Yufei Ding (UC Santa Barbara).- My Notes – Session 1: Quantum Information Basics Part 1 (Miyake)
- My Homework Solutions – Session 1: Quantum Information Basics Part 1 (Miyake)
- My Notes – Session 2: Quantum Information Basics Part 2 (Harrow)
- My Homework Solutions – Session 2: Quantum Information Basics Part 2 (Harrow)
- Solutions – Session 2: Quantum Information Basics Part 2 (Harrow)
- My Notes – Session 3: Quantum Spins (Economou)
- Exercises – Session 3: Quantum Spins (Economou)
- My Notes – Session 4: Superconducting Qubits (McKay and Kandala)
- My Homework Solutions – Session 4: Superconducting Qubits Part 1 (McKay)
- Exercises – Session 4: Superconducting Qubits Part 2 (Kandala)
- My Notes – Session 5: Trapped Ions (Noel)
- My Notes – Session 6: Quantum Chemistry (Rubin)
- Exercises – Session 6: Quantum Chemistry (Rubin)
- Solutions – Session 6: Quantum Chemistry (Rubin)
- My Notes – Session 7: Photonics (Searles)
- Exercises – Session 7: Photonics (Searles)
- My Notes – Session 8: Jobs in Quantum Computing (Lewandowski)
- My Notes – Session 9: Quantum Circuit Optimization (Duckering)
- Exercises – Session 9: Quantum Circuit Optimization (Duckering)
- Solutions – Session 9: Quantum Circuit Optimization (Duckering)
- My Notes – Session 10: Quantum Compiler for Optimization and Testing (Ding)
- Exercises – Session 10: Quantum Compiler for Optimization and Testing (Ding)
- Applied Functional Analysis by Prof. Leszek Demkowicz (2020).
University of Texas at Austin
Textbook: Applied Functional Analysis, 3rd Ed. by J. Tinsley Oden and Leszek F. Demkowicz (2018).- Syllabus
- List of Required Theorems
- My Homework Solutions – Assignment 1: Level one logic
- My Homework Solutions – Assignment 2: Cartesian products, relations, partial orderings, equivalence relations, equivalence classes, and partitions
- My Homework Solutions – Assignment 3: Cardinality of sets and ordering of cardinal numbers
- My Homework Solutions – Assignment 4: Elementary topology in ℝn, open and closed sets, and sequences
- My Homework Solutions – Assignment 5: Sequences, limits, continuity, and vector spaces
- My Homework Solutions – Assignment 6: Equivalence relations, quotient spaces, linear dependence and independence, Hamel basis, dimension, and linear transformations
- My Homework Solutions – Assignment 7: Linear transformations, isomorphic vector spaces, matrices, solvability of linear equations, algebraic dual space, and dual basis
- My Homework Solutions – Assignment 8: Transpose of a linear transformation, basis and cobasis, adjoint of a linear transformation, and contra- and covariant components of tensors
- My Homework Solutions – Assignment 9: Abstract measure theory and Lebesgue measure in ℝn
- My Homework Solutions – Assignment 10: Continuity of distance function of a point and a set and Lebesgue measure in ℝn
- My Homework Solutions – Assignment 11: Lebesgue integration theory, measurable and Borel functions, and Hoelder and Minkowski inequalities
- My Homework Solutions – Assignment 12: Equivalence of topology introduced in a set through neighborhoods or open sets, relation between operations of interior and closure, and bases of neighborhoods for topological subspaces and product topologies
- My Homework Solutions – Assignment 13: Continuity, compactness, and sequences (in a topological space)
- My Homework Solutions – Assignment 14: Contraction mappings and fixed points
- Topological Phases of Matter and Quantum Entanglement by Prof. Andrew Potter (2019).
University of Texas at Austin
Textbook: None- Syllabus
- My Homework Solutions – Assignment 1: Adiabatic theorem, Berry phase, curvature, and flux, Aharonov-Bohm effect, and Chern bands
- My Homework Solutions – Assignment 2: 1D Topological superconductors and Majorana zero modes
- My Homework Solutions – Assignment 3: 1D Bosonic symmetry-protected topological orders and matrix product states
- My Homework Solutions – Assignment 4: Quantum Hall effect, Landau levels, Weyl fermions, 3+1D chiral anomaly, and Weyl semimetals
- Assignment 5: ℤN Toric code
- My Final Presentation: String-net condensation
- Additional Reading: Preliminaries (Gauss-Bonnet Theorem and Berry phases)
- Additional Reading: 1D Topological superconductors (unpaired Majorana fermions in quantum wires)
- Additional Reading: 1D Topological superconductors (quantized Majorana conductance)
- Additional Reading: 1D Topological superconductors (search for Majorana fermions in superconductors)
- Additional Reading: 1D Topological superconductors (topological superconducting phases in one dimension)
- Reference Material: Aharonov-Bohm effect
- Reference Material: Berry phases and curvatures
- Reference Material: Matrix product states and symmetry-protected topological phases
- Quantum Field Theory by Prof. Duane Dicus (2017).
University of Texas at Austin
Textbooks: Quantum Field Theory and the Standard Model by Matthew D. Schwartz (2014) and An Introduction to Quantum Field Theory by Michael E. Peskin and Daniel V. Schroeder (1995). - General Relativity by Prof. Richard Matzner (2017).
University of Texas at Austin
Textbook: Gravitation by Charles W. Misner, Kip S. Thorne, and John Archibald Wheeler (2017). - High Energy Density Plasma Physics by Prof. Todd Ditmire (2015).
University of Texas at Austin
Textbook: Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena by Yakov B. Zel’dovich and Yu. P. Raizer (2002).
- Condensed Matter Physics by Prof. Michael Marder (2015).
University of Texas at Austin
Textbook: Condensed Matter Physics, 2nd Ed. by Michael P. Marder (2010). - Practical Electron Microscopy by Prof. Paulo Ferreira (2014).
University of Texas at Austin
Textbook: Transmission Electron Microscopy, 2nd Ed. (4-part series) by David B. Williams and C. Barry Carter (2009). - Nonlinear Optics by Prof. Michael Downer (2014).
University of Texas at Austin
Textbook: Nonlinear Optics, 3rd. Ed. by Robert W. Boyd
- Statistical Mechanics by Prof. Linda Reichl (2014).
University of Texas at Austin
Textbook: A Modern Course in Statistical Physics, 3rd Ed. by Linda E. Reichl (2009).
- Laser Physics by Prof. Todd Ditmire (2013).
University of Texas at Austin
Textbook: Lasers by Peter W. Milonni and Joseph H. Eberly (1988).
- Classical Mechanics by Prof. Richard Hazeltine (2013).
University of Texas at Austin
Textbook: Classical Dynamics: A Contemporary Approach by Jorge V. Jose and Eugene J. Saletan (1998).
- Electromagnetic Theory by Prof. Kenneth Gentle (2013).
University of Texas at Austin
Textbook: Classical Electrodynamics, 3rd. Ed. by John D. Jackson (1999).
- Quantum Mechanics by Prof. Willy Fischler (2012).
University of Texas at Austin
Textbook: Modern Quantum Mechanics, 2nd Ed. by Jun J. Sakuari and Jim Napolitano (2011).
- Introduction to Solid State Physics by Prof. Chih-Kang Shih (2012).
— University of Texas at Austin —
— Textbook: Introduction to Solid State Physics, 8th Ed. by Charles Kittel (2005). —
Links
Quantum Computation and Quantum Information
- Learn Quantum Computation Using Qisket – a free digital textbook that will teach you the concepts of quantum computing while you learn to use the Qiskit SDK
- Qisket – conduct explorations on IBM’s Quantum Experience using a Python interface
- What Makes Quantum Computing So Hard to Explain? – Quanta Magazine article by Scott Aaronson
- Mathematical Foundations of Quantum Mechanics – Youtube lectures by XylyXylyX
Quantum Gravity and General Relativity
- “ER = EPR” or “What’s Behind the Horizons of Black Holes?” Part 1 /2 – Youtube lecture by Leonard Suskind
- “ER = EPR” or “What’s Behind the Horizons of Black Holes?” Part 2 /2 – Youtube lecture by Leonard Suskind
- Preposterous Universe – blog by Sean Carrol
- What Is General Relativity – Youtube lectures by XylyXylyX
Brandon J. Furey 