Flux-controlled quantum computation with Majorana fermions

@article{Hyart2013FluxcontrolledQC,
  title={Flux-controlled quantum computation with Majorana fermions},
  author={Timo Hyart and Bernard van Heck and Ion Cosma Fulga and Michele Burrello and A. Akhmerov and C. W. J. Beenakker},
  journal={Physical Review B},
  year={2013},
  volume={88},
  pages={035121}
}
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References

SHOWING 1-10 OF 59 REFERENCES
Majorana qubit rotations in microwave cavities.
TLDR
It is shown that the electric field in a microwave cavity can induce Rabi oscillations between adjacent Majorana bound states that can be used to implement an additional single-qubit gate.
Non-Abelian operations on Majorana fermions via single-charge control.
We demonstrate that non-Abelian rotations within the degenerate ground-state manifold of a set of Majorana fermions can be realized by the addition or removal of single electrons, and propose an
The top-transmon: a hybrid superconducting qubit for parity-protected quantum computation
Qubits constructed from uncoupled Majorana fermions are protected from decoherence, but to perform a quantum computation this topological protection needs to be broken. Parity-protected quantum
Non-Abelian statistics and topological quantum information processing in 1D wire networks
The synthesis of a quantum computer remains an ongoing challenge in modern physics. Whereas decoherence stymies most approaches, topological quantum computation schemes evade decoherence at the
Universal quantum computation with ideal Clifford gates and noisy ancillas (14 pages)
We consider a model of quantum computation in which the set of elementary operations is limited to Clifford unitaries, the creation of the state |0>, and qubit measurement in the computational basis.
Anyonic interferometry without anyons: how a flux qubit can read out a topological qubit
Proposals to measure non-Abelian anyons in a superconductor by quantum interference of vortices suffer from the predominantly classical dynamics of the normal core of an Abrikosov vortex. We show how
Universal quantum computation in a semiconductor quantum wire network
Universal quantum computation (UQC) using Majorana fermions on a two-dimensional topological superconducting (TS) medium remains an outstanding open problem. This is because the quantum gate set that
Topological quantum buses: coherent quantum information transfer between topological and conventional qubits.
TLDR
This device measures the joint (fermion) parity of these two different qubits by using the Aharonov-Casher effect in conjunction with an ancilliary superconducting flux qubit that facilitates the measurement.
Demonstration of two-qubit algorithms with a superconducting quantum processor
TLDR
A two-qubit superconducting processor and the implementation of the Grover search and Deutsch–Jozsa quantum algorithms are demonstrated and the generation of highly entangled states with concurrence up to 94 per cent is allowed.
Magic-state distillation with the four-qubit code
TLDR
A routine for magic-state distillation that reduces the required overhead for a range of parameters of practical interest and use of this routine in combination with the 15-to-1 distillation routine described by Bravyi and Kitaev allows for further improvements in overhead.
...
...