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Physical Architecture for a Universal Topological Quantum Computer based on a Network of Majorana Nanowires
Maissam Barkeshli, Jay D. Sau
The idea of topological quantum computation (TQC) is to store and manipulate quantum information in an intrinsically fault-tolerant manner by utilizing the physics of topologically…
Synthetic Topological Qubits in Conventional Bilayer Quantum Hall Systems
Maissam Barkeshli, Xiao-Liang Qi
The idea of topological quantum computation is to build powerful and robust quantum computers with certain macroscopic quantum states of matter called topologically ordered states.…
Anyon Condensation and Continuous Topological Phase Transitions in Non-Abelian Fractional Quantum Hall States
Maissam Barkeshli, Xiao-Gang Wen
We find a series of possible continuous quantum phase transitions between fractional quantum Hall (FQH) states at the same filling fraction in two-component quantum Hall systems. T…
Non-Abelian Two-component Fractional Quantum Hall States
Maissam Barkeshli, Xiao-Gang Wen
A large class of fractional quantum Hall (FQH) states can be classified according to their pattern of zeros, which describes the order of zeros in ground state wave functions as va…
Classification of Abelian and Non-Abelian Multilayer Fractional Quantum Hall States Through the Pattern of Zeros
Maissam Barkeshli, Xiao-Gang Wen
A large class of fractional quantum Hall (FQH) states can be classified according to their pattern of zeros, which describes the way ideal ground state wave functions go to zero as…
Structure of Quasiparticles and Their Fusion Algebra in Fractional Quantum Hall States
Maissam Barkeshli, Xiao-Gang Wen
It was recently discovered that fractional quantum Hall (FQH) states can be classified by the way ground state wave functions go to zero when electrons are brought close together.…