Flux-controlled quantum computation with Majorana fermions
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- 17 July 2013
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 88 (3), 035121
- https://doi.org/10.1103/physrevb.88.035121
Abstract
Majorana fermions hold promise for quantum computation, because their non-Abelian braiding statistics allows for topologically protected operations on quantum information. Topological qubits can be constructed from pairs of well-separated Majoranas in networks of nanowires. The coupling to a superconducting charge qubit in a transmission line resonator (transmon) permits braiding of Majoranas by external variation of magnetic fluxes. We show that readout operations can also be fully flux controlled, without requiring microscopic control over tunnel couplings. We identify the minimal circuit that can perform the initialization-braiding-measurement steps required to demonstrate non-Abelian statistics. We introduce the Random Access Majorana Memory (RAMM), a scalable circuit that can perform a joint parity measurement on Majoranas belonging to a selection of topological qubits. Such multiqubit measurements allow for the efficient creation of highly entangled states and simplify quantum error correction protocols by avoiding the need for ancilla qubits.Keywords
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This publication has 51 references indexed in Scilit:
- Anomalous Zero-Bias Conductance Peak in a Nb–InSb Nanowire–Nb Hybrid DeviceNano Letters, 2012
- Zero-bias peaks and splitting in an Al–InAs nanowire topological superconductor as a signature of Majorana fermionsNature Physics, 2012
- The fractional a.c. Josephson effect in a semiconductor–superconductor nanowire as a signature of Majorana particlesNature Physics, 2012
- Signatures of Majorana Fermions in Hybrid Superconductor-Semiconductor Nanowire DevicesScience, 2012
- Helical Liquids and Majorana Bound States in Quantum WiresPhysical Review Letters, 2010
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor HeterostructuresPhysical Review Letters, 2010
- Unpaired Majorana fermions in quantum wiresPhysics-Uspekhi, 2001
- Non-Abelian Statistics of Half-Quantum Vortices in-Wave SuperconductorsPhysical Review Letters, 2001
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum Hall effectPhysical Review B, 2000
- Nonabelions in the fractional quantum hall effectNuclear Physics B, 1991