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Annual Review of Condensed Matter Physics

Volume 11, 2020

Majorana Zero Modes in Networks of Cooper-Pair Boxes: Topologically Ordered States and Topological Quantum Computation

Abstract

Recent experimental progress introduced devices that can combine topological superconductivity with Coulomb-blockade effects. Experiments with these devices have already provided additional evidence for Majorana zero modes in proximity-coupled semiconductor wires. They also stimulated numerous ideas for how to exploit interactions between Majorana zero modes generated by Coulomb charging effects in networks of Majorana wires. Coulomb effects promise to become a powerful tool in the quest for a topological quantum computer as well as for driving topological superconductors into topologically ordered insulating states. Here, we present a focused review of these recent developments, including discussions of recent experiments, designs of topological qubits, Majorana-based implementations of universal quantum computation, and topological quantum error correction. Motivated by the analogy between a qubit and a spin-1/2 degree of freedom, we also review how coupling between Cooper-pair boxes leads to emergent topologically ordered insulating phases.

Keyword(s): topological states of matter, topological superconductivity
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/content/journals/10.1146/annurev-conmatphys-031218-013618
2020-03-10
2024-04-18
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/content/journals/10.1146/annurev-conmatphys-031218-013618
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Majorana Zero Modes in Networks of Cooper-Pair Boxes: Topologically Ordered States and Topological Quantum Computation
Annual Review of Condensed Matter Physics 11, 397 (2020); https://doi.org/10.1146/annurev-conmatphys-031218-013618
/content/journals/10.1146/annurev-conmatphys-031218-013618
/content/journals/10.1146/annurev-conmatphys-031218-013618
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