TQFTs and quantum computing. (English) Zbl 07882235
Reviewer: Hirokazu Nishimura (Tsukuba)
Found 62 Documents (Results 1–62)
A Cook’s tour of duality in logic: from quantifiers, through Vietoris, to measures. (English) Zbl 07920677
Palmigiano, Alessandra (ed.) et al., Samson Abramsky on logic and structure in computer science and beyond. Cham: Springer. Outst. Contrib. Log. 25, 129-158 (2023).
An algebraic quantum field theoretic approach to toric code with gapped boundary. (English) Zbl 1531.81215
Approximate unitary \(t\)-designs by short random quantum circuits using nearest-neighbor and long-range gates. (English) Zbl 07707357
Graphic lattices made by graph felicitous-type labelings and colorings of topological coding. (English) Zbl 07691767
Quantum transport efficiency in noisy random-removal and small-world networks. (English) Zbl 1521.81124
Bounded nonlinear forecasts of partially observed geophysical systems with physics-constrained deep learning. (English) Zbl 1506.86004
3D topological quantum computing. (English) Zbl 07414653
MSC:
81-XX
The features of the spacetime. (English) Zbl 1472.83031
Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 21st international conference on geometry, integrability and quantization, Varna, Bulgaria, June 3–8, 2019. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 21, 89-99 (2020).
Higher lattices, discrete two-dimensional holonomy and topological phases in \((3+1)\) d with higher gauge symmetry. (English) Zbl 1444.81036
Braided distributivity. (English) Zbl 1439.18020
A quantum query algorithm for computing the degree of a perfect nonlinear Boolean function. (English) Zbl 1417.81104
Quantum information meets quantum matter. From quantum entanglement to topological phases of many-body systems. (English) Zbl 1423.81010
Quantum Science and Technology. New York, NY: Springer (ISBN 978-1-4939-9082-5/hbk; 978-1-4939-9084-9/ebook). xxii, 364 p. (2019).
Reviewer: Eugene Kryachko (Kyiv)
Borel kernels and their approximation, categorically. (English) Zbl 1527.68039
Staton, Sam (ed.), Proceedings of the 34th conference on the mathematical foundations of programming semantics (MFPS XXXIV), Dalhousie University, Halifax, Canada, June 6–9, 2018. Amsterdam: Elsevier. Electron. Notes Theor. Comput. Sci. 341, 91-119 (2018).
Importance of topology in materials science. (English) Zbl 1425.82023
Gupta, Sanju (ed.) et al., The role of topology in materials. Springer Series in Solid-State Sciences 189. Cham: Springer. 3-33 (2018).
Majorana fermions in condensed-matter physics. (English) Zbl 1380.81158
Brink, Lars (ed.) et al., Memorial volume on Abdus Salam’s 90th birthday. Collected papers based on the presentations at the memorial meeting, Institute of Advanced Studies at Nanyang Technological University, Singapore, January 25–28, 2016. Hackensack, NJ: World Scientific (ISBN 978-981-3144-86-6/hbk; 978-981-3144-88-0/ebook). 497-507 (2017).
Knot logic and topological quantum computing with Majorana fermions. (English) Zbl 1355.81059
Chubb, Jennifer (ed.) et al., Logic and algebraic structures in quantum computing. Based on a special session held at the 2010 North American Annual Meeting of the Association for Symbolic Logic, Washington, DC, USA, March 17–20, 2010. Cambridge: Cambridge University Press (ISBN 978-1-107-03339-9/hbk; 978-1-139-51968-7/ebook). Lecture Notes in Logic 45, 223-335 (2016).
Protected gates for topological quantum field theories. (English) Zbl 1335.81051
Reviewer: Guy Jumarie (Montréal)
Quantum computation with topological codes. From qubit to topological fault-tolerance. (English) Zbl 1339.81005
SpringerBriefs in Mathematical Physics 8. Singapore: Springer (ISBN 978-981-287-995-0/pbk; 978-981-287-996-7/ebook). x, 138 p. (2015).
Reviewer: Carlos Pedro Gonçalves (Lisboa)
Cross-level validation of topological quantum circuits. (English) Zbl 1417.81097
Yamashita, Shigeru (ed.) et al., Reversible computation. 6th international conference, RC 2014, Kyoto, Japan, July 10–11, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8507, 189-200 (2014).
MSC:
81P68
Quantum computing vs. coherent computing. (English) Zbl 1356.81114
MSC:
81P68
Introduction to topological quantum computation. (English) Zbl 1247.81003
Cambridge: Cambridge University Press (ISBN 978-1-107-00504-4/hbk; 978-1-139-36864-3/ebook). xi, 206 p. (2012).
Reviewer: Alexandr S. Holevo (Moskva)
Holonomic quantum computation based on the scalar Aharonov-Bohm effect for neutral particles and linear topological defects. (English) Zbl 1238.81067
Quantum triangulations. Moduli spaces, strings, and quantum computing. (English) Zbl 1326.81003
Lecture Notes in Physics 845. Berlin: Springer (ISBN 978-3-642-24439-1/hbk; 978-3-642-24440-7/ebook). xvii, 284 p. (2012).
Reviewer: Martin Schlichenmaier (Luxembourg)
The decoherence of the electron spin and meta-stability of \(^{13}C\) nuclear spins in diamond. (English) Zbl 1295.81088
A permanent formula for the Jones polynomial. (English) Zbl 1230.57014
Reviewer: Jessica Banks (Oxford)
A quantum model for the Jones polynomial, Khovanov homology and generalized simplicial homology. (English) Zbl 1231.57009
Mahdavi, Kazem (ed.) et al., Cross disciplinary advances in quantum computing. NSF sponsored research conference on representation theory, quantum field theory, category theory, and quantum information theory, University of Texas at Tyler, Tyler, TX, USA, October 1–4, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4975-0/pbk). Contemporary Mathematics 536, 75-94 (2011).
Reviewer: Heather A. Dye (Lebanon)
Topological quantum information theory. (English) Zbl 1216.81039
Lomonaco, Samuel J. jun. (ed.), Quantum information science and its contributions to mathematics. American Mathematical Society short course, January 3–4, 2009, Washington, DC, USA. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4828-9/hbk). Proceedings of Symposia in Applied Mathematics 68, 103-176 (2010).
Reviewer: Eugene Kryachko (Liège)
Monodromy analysis of the computational power of the Ising topological quantum computer. (English) Zbl 1210.81016
Dobrev, Vladimir (ed.), Lie theory and its applications in physics. VIII international workshop, Varna, Bulgaria, June 15–21, 2009. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0788-6/pbk). AIP Conference Proceedings 1243, 279-288 (2010).
Tolological quantum computation. (English) Zbl 1239.81005
CBMS Regional Conference Series in Mathematics 112. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4930-9/pbk). xiii, 115 p. (2010).
Reviewer: Alexandr S. Holevo (Moskva)
Classical approximation schemes for the ground-state energy of quantum and classical Ising spin Hamiltonians on planar graphs. (English) Zbl 1180.82016
Measurement-only topological quantum computation. (English) Zbl 1228.81121
MSC:
81P68
Unitary representations of the Artin braid groups and quantum algorithms for colored Jones polynomials and the Witten-Reshetikhin invariant. (English) Zbl 1173.81004
Lin, Kevin (ed.) et al., Topology and physics. Proceedings of the Nankai international conference in memory of Xiao-Song Lin, Tianjin, China, July 27–31, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-281-910-9/hbk). Nankai Tracts in Mathematics 12, 172-194 (2008).
Reviewer: Daniel Moskovich (Kyoto)
Gravitational topological quantum computation. (English) Zbl 1175.68170
Akl, Selim G. (ed.) et al., Unconventional computation. 6th international conference, UC 2007, Kingston, Canada, August 13–17, 2007. Proceedings. Berlin: Springer (ISBN 978-3-540-73553-3/pbk). Lecture Notes in Computer Science 4618, 199-213 (2007).
MSC:
68Q05
81P68
Topology and quantum information. (English) Zbl 1124.57007
Ge, Mo-Lin (ed.) et al., Differential geometry and physics. Proceedings of the 23rd international conference of differential geometric methods in theoretical physics, Tianjin, China, August 20–26, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-377-4/hbk). Nankai Tracts in Mathematics 10, 273-282 (2006).
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