Academic Reading List
Below is the collection of my academic reading lists; all papers/texts that have been on my academic reading list at some point or another should be documented here.
October 15th
- Breaking the cubic barrier in the Solovay-Kitaev algorithm, G. Kuperberg. Arxiv preprint (2023). arXiv:2306.13158
- Perfect Pell Powers, J.H. Cohn. Glasgow Mathematical Journal (2009). link
- On the number of solutions of the generalized Ramanujan-Nagell equation \( D_1 x^2 + D_2^m = 2^{n + 2} \), Li Jianghua. The Ramanujan Journal (2025). link
- An Introduction to the Representation Theory of Groups, E. Kowalski. Graduate Studies in Mathmeatics 155, AMS, (2010). link
- On the the diophantine equation \( \frac{x^n - 1}{x-1} = y^q \), Y. Bugeaud, M. Mignotte, and Y. Roy. Pacific Journal of Mathematics (2000). link
- Multilinear Algebra, W. Greub. Springer-Verlag, New York, (1978). link
- Commutative Algebra with a View Towards Algebraic Geometry, D. Eisenbud. Graduate Texts in Mathematics 150, (1995). link
- The Geometry of Syzygies: A Second Course in Commutative Algebra and Algebraic Geometry, D. Eisenbud. Graduate Texts in Mathematics 229, (2005). link
- Exponential Diophantine Equations, T.N. Shorey and R. Tijdeman. Cambridge Tracts in Mathematics 87, (1986). link
- Graded Syzygies, I. Peeva. Algebra and Applications 14, (2011). link
- Deciding universality of quantum gates, G. Ivanyos. Journal of Algbera (2006). arXiv:0603009
- Universality in Quantum Computation, E. Jeandel. Automata, Languages, and Programming, ICALP (2004). link
- Criteria for universality of quantum gates, A. Sawicki and K. Karnas. Phys Rev A 95 (2017). arXiv:1610.00547
- Larsen's alternative, moments, and the monodromy of Lefshetz pencils, N.M. Katz. Contributions to Automorphic Forms, Geometry, and Number Theory (2004). link
- Fourth Moments and Larsen's Alternative, Cheng Qin. link
- Moments, Monodromy and Perversity: a Diophantine Perspective, N.M. Katz. Princeton University Press (2005). link
- Efficient Universal Quantum Compilation: An Inverse-free Solovay-Kitaev Algorithm, A. Bouland and T. Guirgica-Tiron. Arxiv preprint (2021). arXiv:2112.02040
- The Classification of Clifford Gates over Qubits, D. Grier and L. Schaeffer. Quantum (2022). arXiv:1603.03999
- Complexity Classification of Conjugated Clifford Circuits, A. Bouland, J.F. Fitzsimons, and D.E. Koh. Computational Complexity Conference (2018). arXiv:1709.01805
April 5th
- Decompositions of Small Tensor Powers and Larsen's Conjecutre, R.M. Guralnick and P.H. Tiep. Representation Theory (2005). arXiv:0502080
- Deciding universality of quantum gates, G. Ivanyos. Journal of Algbera (2006). arXiv:0603009
- Universality in Quantum Computation, E. Jeandel. Automata, Languages, and Programming, ICALP (2004). link
- Linear groups and Computation, A. Detinko and D.L. Flannery. Expositiones Mathematicae (2019). arXiv:1805.05984
- On deciding finiteness of matrix groups, A.S. Detinko and D.L. Flannery. Journal of Symbolic Computation (2009). link
- Criteria for universality of quantum gates, A. Sawicki and K. Karnas. Phys Rev A 95 (2017). arXiv:1610.00547
- Larsen's alternative, moments, and the monodromy of Lefshetz pencils, N.M. Katz. Contributions to Automorphic Forms, Geometry, and Number Theory (2004). link
- Fourth Moments and Larsen's Alternative, Cheng Qin. link
- Moments, Monodromy and Perversity: a Diophantine Perspective, N.M. Katz. Princeton University Press (2005). link
- Efficient Universal Quantum Compilation: An Inverse-free Solovay-Kitaev Algorithm, A. Bouland and T. Guirgica-Tiron. Arxiv preprint (2021). arXiv:2112.02040
- The Classification of Clifford Gates over Qubits, D. Grier and L. Schaeffer. Quantum (2022). arXiv:1603.03999
- Complexity Classification of Conjugated Clifford Circuits, A. Bouland, J.F. Fitzsimons, and D.E. Koh. Computational Complexity Conference (2018). arXiv:1709.01805
- Locality Bounds for Sampling Hamming Slices, D.M. Kane, A. Ostuni, and K. Wu. Arxiv preprint (2024). arXiv:2402.14278
- On the Pauli Spectrum of QAC0, S. Nadimpalli, N. Parham, F. Vasconcelos, and H. Yuen. STOC (2024). arXiv:2311.09631
- Longer-Baseline Telescopes Using Quantum Repeaters, D. Gottesman, T. Jennewein, and S. Croke. Arxiv preprint (2012). arXiv:1107.2939
December 20th
- Efficient Universal Quantum Compilation: An Inverse-free Solovay-Kitaev Algorithm, A. Bouland and T. Guirgica-Tiron. Arxiv preprint (2021). arXiv:2112.02040
- Quantum encryption with certified deletion, A. Broadbent and R. Islam. Arxiv preprint (2019). arXiv:1910.03551
- Deciding universality of quantum gates, G. Ivanyos. Journal of Algbera (2006). arXiv:0603009
- Universality in Quantum Computation, E. Jeandel. Automata, Languages, and Programming, ICALP (2004). link
- The Classification of Clifford Gates over Qubits, D. Grier and L. Schaeffer. Quantum (2022). arXiv:1603.03999
- Complexity Classification of Conjugated Clifford Circuits, A. Bouland, J.F. Fitzsimons, and D.E. Koh. Computational Complexity Conference (2018). arXiv:1709.01805
- Random regular graph states are complex at almost any depth, S. Ghosh, D. Hangleiter, and J. Helsen. Arxiv preprint (2024). arXiv:2412.07058
- The LU-LC conjecture is false, Z. Ji, J. Chen, Z. Wei, and M. Ying. Arxiv preprint (2008). arXiv:0709.1266
- Locality Bounds for Sampling Hamming Slices, D.M. Kane, A. Ostuni, and K. Wu. Arxiv preprint (2024). arXiv:2402.14278
- On the Pauli Spectrum of QAC0, S. Nadimpalli, N. Parham, F. Vasconcelos, and H. Yuen. STOC (2024). arXiv:2311.09631
September 8th
- The Classification of Reversible Bit Operations, S. Aaronson, D. Grier, and L. Shaeffer. Arxiv preprint (2015). arXiv:1504.05155
- Quantum encryption with certified deletion, A. Broadbent and R. Islam. Arxiv preprint (2019). arXiv:1910.03551
- Deciding universality of quantum gates, G. Ivanyos. Journal of Algbera (2006). arXiv:0603009
- Universality in Quantum Computation, E. Jeandel. Automata, Languages, and Programming, ICALP (2004). link
- The Classification of Clifford Gates over Qubits, D. Grier and L. Schaeffer. Quantum (2022). arXiv:1603.03999
- Univesal Quantum Gates, J. Brylinski and R. Brylinski. Arxiv preprint (2001). arXiv:0108062
- Complexity Classification of Conjugated Clifford Circuits, A. Bouland, J.F. Fitzsimons, and D.E. Koh. Computational Complexity Conference (2018). arXiv:1709.01805
- Complexity classification of two-qubit commuting hamiltonians, A. Bouland, L. Mancinska, and X. Zhang. Computational Complexity Conference (2016). arXiv:1602.04145
- Fast Generation of Regular Graphs and Construction of Cages, M. Meringer. Journal of Graph Theory 30 (1999). link
July 6th
- Deciding universality of quantum gates, G. Ivanyos. Journal of Algbera (2006). arXiv:0603009
- The Classification of Clifford Gates over Qubits, D. Grier and L. Schaeffer. Quantum (2022). arXiv:1603.03999
- Univesal Quantum Gates, J. Brylinski and R. Brylinski. Arxiv preprint (2001). arXiv:0108062
- Complexity Classification of Conjugated Clifford Circuits, A. Bouland, J.F. Fitzsimons, and D.E. Koh. Computational Complexity Conference (2018). arXiv:1709.01805
- Complexity classification of two-qubit commuting hamiltonians, A. Bouland, L. Mancinska, and X. Zhang. Computational Complexity Conference (2016). arXiv:1602.04145
- A New Framework for Quantum Oblivious Transfer, A. Agarwal, J. Bartusek, D. Khurana, and N. Kumar. Eurocrypt (2023). eprint:1191
- Fast Generation of Regular Graphs and Construction of Cages, M. Meringer. Journal of Graph Theory 30 (1999). link
- Asymptotics of Ramsey numbers of double stars, S. Norin, Y.R. Sun, and Y. Zhao. Arxiv preprint (2016). arXiv:1605.03612