Majorana zero modes and topological quantum computation
By Michael H. Freedman, C. Nayak. npj Quantum Information, 2015
1,141 citations recorded by the source corpus.
We provide a current perspective on the rapidly developing field of Majorana zero modes (MZMs) in solid-state systems. We emphasise the theoretical prediction, experimental realisation and potential use of MZMs in future information processing devices through braiding-based topological quantum computation (TQC). Well-separated MZMs should manifest non-Abelian braiding statistics suitable for unitary gate operations for TQC. Recent experimental work, following earlier theoretical predictions, has shown specific signatures consistent with the existence of Majorana modes localised at the ends of semiconductor nanowires in the presence of superconducting proximity effect. We discuss the experimental findings and their theoretical analyses, and provide a perspective on the extent to which the observations indicate the existence of anyonic MZMs in solid-state systems. We also discuss fractional quantum Hall systems (the 5/2 state), which have been extensively studied in the context of non-Abelian anyons and TQC. We describe proposed schemes for carrying out braiding with MZMs as well as the necessary steps for implementing TQC.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/2030f541c880e705a16eeae9057111c82d8e42a1
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In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- Milestones toward Majorana-based quantum computing (2015, background): “9(a) admits two ground states that we may associate with a logical 0 and 1 [6].”
- Effects of Gate-Induced Electric Fields on Semiconductor Majorana Nanowires (2018, background): “This property of topological superconductors has generated a lot of excitement in the condensed matter physics, quantum information, and material science communities [15–18] as it opens up the possibility of Majorana-based topological quantum computing [6,9,19,20].”
- Quantum Computing in the NISQ era and beyond (2018, background): “current program [57], focused on advancing topological quantum computing, is founded on the notion that much lower gate error rates will pay off handsomely sometime in the”
- Nonlocality of Majorana modes in hybrid nanowires (2017, background): “Emergent Majorana bound states (MBSs) in topological superconductors [1, 2] appear capable of providing a naturally fault-tolerant basis for quantum computing [3, 4].”
- Elucidating reaction mechanisms on quantum computers (2016, background): “Therefore robust qubits, such as topologically protected qubits [53], may be invaluable for using a quantum computer to elucidate reaction mechanisms for important chemical processes such as the mode of action of nitrogenase.”