Probing Majorana edge states with a flux qubit

@article{Hou2011ProbingME,
  title={Probing Majorana edge states with a flux qubit},
  author={Chang-Yu Hou and Fabian Hassler and A. Akhmerov and Johan Nilsson},
  journal={Physical Review B},
  year={2011},
  volume={84},
  pages={054538}
}
A pair of counter-propagating Majorana edge modes appears in chiral p-wave superconductors and in other superconducting systems belonging to the same universality class. These modes can be described by an Ising conformal field theory. We show how a superconducting flux qubit attached to such a system couples to the two chiral edge modes via the disorder field of the Ising model. Due to this coupling, measuring the back-action of the edge states on the qubit allows to probe the properties of… 

Figures from this paper

Extracting entangled qubits from Majorana fermions in quantum dot chains through the measurement of parity
TLDR
This scheme illustrates localizable entanglement in a fermionic system, which serves feasibly as a quantum repeater under realistic experimental conditions, as it allows for finite temperature effect and is robust against disorders, decoherence and quasi-particle poisoning.
SWAP gate between a Majorana qubit and a parity-protected superconducting qubit
High fidelity quantum information processing requires a combination of fast gates and long-lived quantum memories. In this work, we propose a hybrid architecture, where a parity-protected
Electrical detection of the Majorana fusion rule for chiral edge vortices in a topological superconductor
Majorana zero-modes bound to vortices in a topological superconductor have a non-Abelian exchange statistics expressed by a non-deterministic fusion rule: When two vortices merge they may or they may
Deterministic Creation and Braiding of Chiral Edge Vortices.
TLDR
This work proposes to use the chiral motion along the boundary of the superconductor to braid a mobile vortex in the edge channel with an immobile vortex with Majorana zero mode in the bulk.
Disorder-Assisted Error Correction in Majorana Chains
It was recently realized that quenched disorder may enhance the reliability of topological qubits by reducing the mobility of anyons at zero temperature. Here we compute storage times with and
Search for non-Abelian Majorana braiding statistics in superconductors
This is a tutorial review of methods to braid the world lines of non-Abelian anyons (Majorana zero-modes) in topological superconductors. That "Holy Grail" of topological quantum information
Robust interface between flying and topological qubits
TLDR
A microwave photonic quantum bus is proposed for a strong direct coupling between the topological and conventional qubits, where the energy mismatch is compensated by an external driving field, and it is demonstrated that this quantum bus can also be used to generate multipartitie entangled states with the topology qubits.

References

SHOWING 1-10 OF 46 REFERENCES
Unpaired Majorana fermions in quantum wires
Certain one-dimensional Fermi systems have an energy gap in the bulk spectrum while boundary states are described by one Majorana operator per boundary point. A finite system of length L possesses
Electrically detected interferometry of Majorana fermions in a topological insulator.
TLDR
This work shows how a pair of neutral Majorana fermions can be converted reversibly into a charged Dirac fermion, and enables electrical detection of a qubit by an interferometric measurement.
Probing neutral Majorana fermion edge modes with charge transport.
TLDR
A point contact formed by a superconducting junction is introduced and it is shown that its transmission can be controlled by the phase difference across the junction.
Superconducting proximity effect and majorana fermions at the surface of a topological insulator.
TLDR
It is shown that linear junctions between superconductors mediated by the topological insulator form a nonchiral one-dimensional wire for Majorana fermions, and that circuits formed from these junctions provide a method for creating, manipulating, and fusing Majorana bound states.
Generic new platform for topological quantum computation using semiconductor heterostructures.
TLDR
The heterostructure proposed is a semiconducting thin film sandwiched between an s-wave superconductor and a magnetic insulator which can be used as the platform for topological quantum computation by virtue of the existence of non-Abelian Majorana fermions.
Majorana fermions in a tunable semiconductor device
The experimental realization of Majorana fermions presents an important problem due to their non-Abelian nature and potential exploitation for topological quantum computation. Very recently Sau et
Bulk-edge coupling in the non-Abelian nu=5/2 quantum hall interferometer.
TLDR
It is found that at strong coupling, the bulk quasiparticle becomes essentially absorbed by the edge and the intereference signal is fully restored, and the strength of the coupling can be tuned by the source-drain voltage.
Fermion zero modes on vortices in chiral superconductors
The energy levels of fermions bound to the vortex core are considered for the general case of chiral superconductors. There are two classes of chiral superconductivity: in the class I superconducting
Topologically protected qubits from a possible non-Abelian fractional quantum Hall state.
TLDR
Here, an experiment is proposed which can simultaneously determine the braiding statistics of quasiparticle excitations and, if they prove to be non-Abelian, produce a topologically protected qubit on which a logical Not operation is performed by qu asiparticle braiding.
Coherent Quantum Dynamics of a Superconducting Flux Qubit
TLDR
The observed coherent time evolution between two quantum states of a superconducting flux qubit comprising three Josephson junctions in a loop is promising for future solid-state quantum computing.
...
...