Book
- , 2008, Encyclopedia of Algorithms, Springer
Book, Chapter
- Sean Hallgren and U. Vollmer, 2009, Quantum Computing, Springer, pp. 15-34
- Sean Hallgren, 2008, Quantum Algorithm for Factoring, pp. 689
- Sean Hallgren, 2008, Quantum Algorithm for Solving the Pell’s Equation
- Sean Hallgren, 2008, Quantum Algorithms for Class Group of a Number Field, pp. 694-696
- Sean Hallgren, 2008, Quantum Algorithm for Solving the Pell’s Equation, pp. 698-700
Journal Article
- Sean Hallgren, Adam D Smith and Fang Song, 2015, "Classical Cryptographic Protocols in a Quantum World", CoRR
- Sean Hallgren, Adam D Smith and Fang Song, 2015, "Classical Cryptographic Protocols in a Quantum World", IACR Cryptology ePrint Archive, 2015, pp. 687
- Sean Hallgren, Adam D Smith and Fang Song, 2015, "Classical Cryptographic Protocols in a Quantum World", International Journal of Quantum Information, 13, (4)
- Kirsten Eisenträger, Sean Hallgren and Kristin E. Lauter, 2014, "Weak Instances of PLWE", IACR Cryptology ePrint Archive, 2014, pp. 784
- S. Hallgren, D. Nagaj and S. Narayanaswami, 2013, "The Local Hamiltonian Problem on a Line with Eight States is QMA-Complete", Quantum Information & Computation, 13, (9/10)
- S. Hallgren, C. Moore, M. Rotteler, A. Russell and P. Sen, 2010, "Limitations of Quantum Coset States for Graph Isomorphism", 57, (6)
- Sean Hallgren, 2007, "Polynomial-time quantum algorithms for Pell’s equation and the principalideal problem", Journal of the ACM, 54, (1), pp. 1-19
- S. Hallgren, 2007, "The Local Hamiltonian Problem on a Line with Eight States is QMA-Complete", 54, (1)
- Sean Hallgren, 2007, "Polynomial-time quantum algorithms for Pell’s equation and the principal
ideal problem", J. ACM, 54, (1)
- W. van Dam, Sean Hallgren and L. Ip, 2006, "Quantum Algorithms for Some Hidden Shift Problems", 36, (3)
- S. Hallgren, A. Russell and A. Ta-Shma, 2003, "The Hidden Subgroup Problem and Quantum Computation Using Group Representations", 32, (4)
- Wim van Dam and Sean Hallgren, 2000, "Efficient Quantum Algorithms for Shifted Quadratic Character Problems", CoRR, quant-ph/0011067
Conference Proceeding
- Nai-Hui Chia and Sean Hallgren, 2016, "How Hard Is Deciding Trivial Versus Nontrivial in the Dihedral Coset Problem?", Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik, Dagstuhl, Germany, Germany, 61, pp. 16
- Kirsten Eisenträger, Sean Hallgren and Kristin Lauter, 2014, "Weak instances of PLWE", pp. 12
- Kirsten Eisenträger, Sean Hallgren, Alexei Kitaev and Fang Song, 2014, "A quantum algorithm for computing the unit group of an arbitrary degree number field", pp. 293–302
- , 2014, "Selected Areas in Cryptography - SAC 2014 - 21st International Conference,
Montreal, QC, Canada, August 14-15, 2014, Revised Selected Papers", Springer, 8781
- , 2014, "Symposium on Theory of Computing, STOC 2014, New York, NY, USA,
May 31 - June 03, 2014", ACM
- S. Hallgren and K. Eisentraeger, 2012, "Computing the Unit Group, Class Group, and Compact Representations in Algebraic Function Fields"
- Sean Hallgren, Adam D Smith and Fang Song, 2011, "Classical Cryptographic Protocols in a Quantum World", pp. 411–428
- , 2011, "Advances in Cryptology - CRYPTO 2011 - 31st Annual Cryptology Conference,
Santa Barbara, CA, USA, August 14-18, 2011. Proceedings", Springer, 6841
- Sean Hallgren, A. Smith and F. Song, 2011, "Classical Cryptographic Protocols in a Quantum World", Proceedings of the Fourteenth Workshop on Quantum Information Processing (QIP 2011), pp. 18
- Kirsten Eisenträger and Sean Hallgren, 2010, "Algorithms for Ray Class Groups and Hilbert Class Fields", pp. 471–483
- , 2010, "Proceedings of the Twenty-First Annual ACM-SIAM Symposium on Discrete
Algorithms, SODA 2010, Austin, Texas, USA, January 17-19, 2010", SIAM
- Sean Hallgren, Alexandra Kolla, Pranab Sen and Shengyu Zhang, 2008, "Making Classical Honest Verifier Zero Knowledge Protocols Secure againstQuantum Attacks", pp. 592–603
- Sean Hallgren and Aram Wettroth Harrow, 2008, "Superpolynomial Speedups Based on Almost Any Quantum Circuit", pp. 782–795
- , 2008, "Automata, Languages and Programming, 35th International Colloquium,
ICALP 2008, Reykjavik, Iceland, July 7-11, 2008, Proceedings, Part
I: Tack A: Algorithms, Automata, Complexity, and Games", Springer, 5125
- , 2008, "Automata, Languages and Programming, 35th International Colloquium,
ICALP 2008, Reykjavik, Iceland, July 7-11, 2008, Proceedings, Part
II - Track B: Logic, Semantics, and Theory of Programming &
Track C: Security and Cryptography Foundations", Springer, 5126
- Sean Hallgren, Alexandra Kolla, Pranab Sen and Shengyu Zhang, 2008, "Making Classical Honest Verifier Zero Knowledge Protocols Secure against
Quantum Attacks", pp. 592–603
- Sean Hallgren, Cristopher Moore, Martin Rötteler, Alexander Russell and Pranab Sen, 2006, "Limitations of quantum coset states for graph isomorphism", pp. 604–617
- , 2006, "Proceedings of the 38th Annual ACM Symposium on Theory of Computing,
Seattle, WA, USA, May 21-23, 2006", ACM
- Sean Hallgren, Alexander Russell and Igor Shparlinski, 2005, "Quantum Noisy Rational Function Reconstruction", pp. 420–429
- Sean Hallgren, 2005, "Fast quantum algorithms for computing the unit group and class groupof a number field", pp. 468–474
- , 2005, "Proceedings of the 37th Annual ACM Symposium on Theory of Computing,
Baltimore, MD, USA, May 22-24, 2005", ACM
- , 2005, "Computing and Combinatorics, 11th Annual International Conference,
COCOON 2005, Kunming, China, August 16-29, 2005, Proceedings", Springer, 3595
- Sean Hallgren, 2005, "Fast quantum algorithms for computing the unit group and class group
of a number field", pp. 468–474
- , 2003, "Proceedings of the Fourteenth Annual ACM-SIAM Symposium on Discrete
Algorithms, January 12-14, 2003, Baltimore, Maryland, USA", ACM/SIAM
- Wim van Dam, Sean Hallgren and Lawrence Ip, 2003, "Quantum algorithms for some hidden shift problems", pp. 489–498
- Sean Hallgren, 2002, "Polynomial-time quantum algorithms for Pell’s equation and the principalideal problem", pp. 653–658
- Sean Hallgren, 2002, "Polynomial-time quantum algorithms for Pell’s equation and the principal
ideal problem", pp. 653–658
- , 2002, "Proceedings on 34th Annual ACM Symposium on Theory of Computing,
May 19-21, 2002, Montréal, Québec, Canada", ACM
- Lisa Hales and Sean Hallgren, 2000, "An Improved Quantum Fourier Transform Algorithm and Applications", pp. 515–525
- Sean Hallgren, Alexander Russell and Amnon Ta-Shma, 2000, "Normal subgroup reconstruction and quantum computation using grouprepresentations", pp. 627–635
- , 2000, "41st Annual Symposium on Foundations of Computer Science, FOCS 2000,
12-14 November 2000, Redondo Beach, California, USA", IEEE Computer Society
- Sean Hallgren, Alexander Russell and Amnon Ta-Shma, 2000, "Normal subgroup reconstruction and quantum computation using group
representations", pp. 627–635
- , 2000, "Proceedings of the Thirty-Second Annual ACM Symposium on Theory
of Computing, May 21-23, 2000, Portland, OR, USA", ACM
- Lisa Hales and Sean Hallgren, 1999, "Quantum Fourier Sampling Simplified", pp. 330–338
- , 1999, "Proceedings of the Thirty-First Annual ACM Symposium on Theory of
Computing, May 1-4, 1999, Atlanta, Georgia, USA", ACM
Other
- Kirsten Eisentraeger, Sean Hallgren and Travis Morrison, 2017, "On the Hardness of Computing Endomorphism Rings of Supersingular Elliptic Curves"
- Kirsten Eisentraeger, Sean Hallgren, Kristin Lauter, Travis Morrison and Christophe Petit, , "Supersingular Isogeny Graphs and Endomorphism Rings: Reductions and Solutions"
