Optimizing Clifford gate generation for measurement-only topological quantum computation with Majorana zero modes [PDF]
SciPost Physics, 2020 One of the main challenges for quantum computation is that while the number of gates required to perform a non-trivial quantum computation may be very large, decoherence and errors in realistic quantum architectures limit the number of physical gate ...
Alan Tran, Alex Bocharov, Bela Bauer, Parsa Bonderson
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Topological quantum field theory and crossing number [PDF]
, 1996 7 pages, latex, no figure, correct some word ...
Zhu‐Jun Zheng +3 more
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Topological analysis of number theory and its applications in quantum cryptography [PDF]
مجلة جامعة الانبار للعلوم الصرفةThis study investigates the application of algebraic topology, in particular homology theory and persistent homology. It includes the analysis of elliptic curves and their use in cryptographic systems and cybersecurity.
Noor Kadhim, Ruaa Abd, Saja AL-Khafaji
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Bernoulli number identities from quantum field theory and topological string theory [PDF]
Communications in Number Theory and Physics, 2013 We present a new method for the derivation of convolution identities for finite sums of products of Bernoulli numbers. Our approach is motivated by the role of these identities in quantum field theory and string theory. We first show that the Miki identity and the Faber-Pandharipande-Zagier (FPZ) identity are closely related, and give simple unified ...
Gerald V. Dunne, Christian Schubert
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Quantum Hall effect and the topological number in graphene [PDF]
Physical Review B, 2006 4 pages, 10 ...
Yasumasa Hasegawa, Mahito Kohmoto
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Bosonic integer quantum Hall states in topological bands with Chern number two [PDF]
, 2016 We study the interacting bosons in topological Hofstadter bands with Chern number two. Using exact diagonalization, we demonstrate that bosonic integer quantum Hall (BIQH) state emerges at integer boson filling factor $\nu=1$ of the lowest Chern band ...
Tian-Sheng Zeng, W. Zhu, D. N. Sheng
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Phase-Space Approach for Topological Phase Transitions in Silicene [PDF]
EntropySilicene is a two-dimensional silicon monolayer with a band gap caused by relatively strong spin–orbit coupling. This band gap can be steered using a vertical electric field.
Maciej Kalka +2 more
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3D Carbon Allotropes: Topological Quantum Materials with Obstructed Atomic Insulating Phases, Multiple Bulk‐Boundary Correspondences, and Real Topology [PDF]
Advanced Functional Materials, 2023 The study of topological phases with unconventional bulk‐boundary correspondences and nontrivial real Chern number has garnered significant attention in the topological states of matter.
Jianhua Wang +8 more
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Interacting topological quantum chemistry in 2D with many-body real space invariants [PDF]
Nature Communications, 2022 The topological phases of non-interacting fermions have been classified by their symmetries, culminating in a modern electronic band theory where wavefunction topology can be obtained from momentum space.
Jonah Herzog-Arbeitman +2 more
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Realization of higher-order topological lattices on a quantum computer [PDF]
Nature Communications, 2023 Programmable quantum simulators may one day outperform classical computers at certain tasks. But at present, the range of viable applications with noisy intermediate-scale quantum (NISQ) devices remains limited by gate errors and the number of high ...
Jin Ming Koh, Tommy Tai, Ching Hua Lee
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