Quantum error correction and fault-tolerant quantum computation
A. Lavasani, G. Zhu, M. Barkeshli, Universal logical gates with constant overhead: instantaneous Dehn twists for hyperbolic quantum codes, arXiv:1901.11029,
Quantum 3, 180 (2019)
G. Zhu, A. Lavasani, M. Barkeshli, Instantaneous braids and Dehn twists in topologically ordered states, arXiv:1806.06078
Phys. Rev. B 102, 075105 (2020)
G. Zhu, A. Lavasani, M. Barkeshli, Universal Logical Gates on Topologically Encoded Qubits via Constant-Depth Unitary Circuits, arXiv:1806.02358
Phys. Rev. Lett. 125, 050502 (2020)
JQI News article on our work above: https://jqi.umd.edu/news/quantum-computers-do-instantaneous-twist
A. Lavasani, M. Barkeshli, Low overhead Clifford gates from joint measurements in surface, color, and hyperbolic codes, arXiv:1804.04144,
Phys. Rev. A 98, 052319 (2018)
G. Zhu, M. Hafezi, M. Barkeshli, Quantum Origami: Transversal Gates for Quantum Computation and Measurement of Topological Order, arXiv:1711.05752,
Phys. Rev. Research 2, 013285 (2020)
Maissam Barkeshli and Michael Freedman, Modular transformations through sequences of topological charge projections, arXiv:1602.01093,
Phys. Rev. B 94, 165108 (2016)
M. Barkeshli, J.D. Sau, Physical Architecture for a Universal Topological Quantum Computer based on a Network of Majorana Nanowires, arXiv:1509.07135
M. Barkeshli and X.-L. Qi, Synthetic Topological Qubits in Conventional Bilayer Quantum Hall Systems, arXiv:1302.2673,
Phys. Rev. X 4, 041035 (2014)