TY - JOUR
T1 - Flux-controlled quantum computation with Majorana zero modes
AU - Hyart, Timo
AU - van Heck, Bernard
AU - Fulga, Ion Cosma
AU - Burrello, Michele
AU - Akhmerov, Anton R.
AU - Beenakker, Carlo W. J.
PY - 2014/3/1
Y1 - 2014/3/1
N2 - Majorana zero modes, exotic quasiparticles which are their own
antiparticles, can be constructed out of electron and hole excitations
in topological superconductors. Because widely separated Majorana zero
modes can store quantum information nonlocally and their non-Abelian
braiding statistics allows accurate quantum gates, Majorana zero modes
offer a promise for topological quantum computation. The coupling of
Majorana zero modes to superconducting transmon qubits permits braiding
of Majoranas and readout operations by external variation of magnetic
fluxes. We identify the minimal circuit for the demonstration of the
non-Abelian Majorana statistics and discuss the possible limitations
which might hinder the braiding operation. A key benefit of our approach
is that the whole operation is performed at the electrical circuit
level, without requiring local control of microscopic parameters.
Finally, we take a longer term perspective and introduce the Random
Access Majorana Memory, a scalable circuit that can perform a joint
parity measurement on Majoranas belonging to a selection of topological
qubits. Such multi-qubit measurements allow for the efficient creation
of highly entangled states and simplify quantum error correction
protocols by avoiding the need for ancilla qubits.
AB - Majorana zero modes, exotic quasiparticles which are their own
antiparticles, can be constructed out of electron and hole excitations
in topological superconductors. Because widely separated Majorana zero
modes can store quantum information nonlocally and their non-Abelian
braiding statistics allows accurate quantum gates, Majorana zero modes
offer a promise for topological quantum computation. The coupling of
Majorana zero modes to superconducting transmon qubits permits braiding
of Majoranas and readout operations by external variation of magnetic
fluxes. We identify the minimal circuit for the demonstration of the
non-Abelian Majorana statistics and discuss the possible limitations
which might hinder the braiding operation. A key benefit of our approach
is that the whole operation is performed at the electrical circuit
level, without requiring local control of microscopic parameters.
Finally, we take a longer term perspective and introduce the Random
Access Majorana Memory, a scalable circuit that can perform a joint
parity measurement on Majoranas belonging to a selection of topological
qubits. Such multi-qubit measurements allow for the efficient creation
of highly entangled states and simplify quantum error correction
protocols by avoiding the need for ancilla qubits.
M3 - Journal article
JO - APS March Meeting 2014
JF - APS March Meeting 2014
ER -