Braiding-based quantum control of a Majorana qubit built from quantum dots
arXiv:2305.08464 · doi:10.1103/PhysRevB.109.125410
Abstract
Topology-related ideas might lead to noise-resilient quantum computing. For example, it is expected that the slow spatial exchange (`braiding') of Majorana zero modes in superconductors yields quantum gates that are robust against disorder. Here, we report our numerical experiments, which describe the dynamics of a Majorana qubit built from quantum dots controlled by time-dependent gate voltages. Our protocol incorporates non-protected control, braiding-based protected control, and readout, of the Majorana qubit. We use the Kitaev chain model for the simulations, and focus on the case when the main source of errors is quasistatic charge noise affecting the hybridization energy splitting of the Majorana modes. We provide quantitative guidelines to suppress both diabatic errors and disorder-induced qubit dephasing, such that a fidelity plateau is observed as the hallmark of the topological quantum gate. Our simulations predict realistic features that are expected to be seen in future braiding experiments with Majorana zero modes and other topological qubit architectures.
main text: 10 pages, 6 figures
References in corpus (20)
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Introduction to topological superconductivity and Majorana fermions
- How to Enhance Dephasing Time in Superconducting Qubits
- Electrometry Using Coherent Exchange Oscillations in a Singlet-Triplet-Qubit
- Majorana qubit decoherence by quasiparticle poisoning
- Majorana box qubits
- Parity qubits and poor man's Majorana bound states in double quantum dots
- Charge detection enables free-electron quantum computation
- Braiding without Braiding: Teleportation-Based Quantum Information Processing with Majorana Zero Modes
- A road to reality with topological superconductors
- Decoherence of Majorana qubits by noisy gates
- Shortcuts to nonabelian braiding
- Majorana Braiding Dynamics on Nanowires
- Poor man's topological quantum gate based on the Su-Schrieffer-Heeger model
- Readout of Majorana Qubits
- Dephasing and leakage dynamics of noisy Majorana-based qubits: Topological versus Andreev
- Parity-to-charge conversion in Majorana qubit readout
- Adiabatic electron charge transfer between two quantum dots in presence of 1/f noise
- Degeneracy lifting of Majorana bound states due to electron-phonon interactions
- Effects of decoherence on diabatic errors in Majorana braiding
Cited by in corpus (21)
- A two-site Kitaev chain in a two-dimensional electron gas
- Robust poor man's Majorana zero modes using Yu-Shiba-Rusinov states
- Signatures of Majorana protection in a three-site Kitaev chain
- Enhancing the excitation gap of a quantum-dot-based Kitaev chain
- Observation of edge and bulk states in a three-site Kitaev chain
- From perfect to imperfect poor man's Majoranas in minimal Kitaev chains
- Quantum-dot-based Kitaev chains: Majorana quality measures and scaling with increasing chain length
- Rabi and Ramsey oscillations of a Majorana qubit in a quantum dot-superconductor array
- Fate of poor man's Majoranas in the long Kitaev chain limit
- Effect of impurities and disorder on the braiding dynamics of Majorana zero modes
- Majorana sweet spots in 3-site Kitaev chains
- Majorana modes in quantum dots coupled via a floating superconducting island
- Scaling up a sign-ordered Kitaev chain without magnetic flux control
- Braiding Majoranas in a linear quantum dot-superconductor array: Mitigating the errors from Coulomb repulsion and residual tunneling
- Altermagnet-Superconductor Heterostructure: a Scalable Platform for Braiding of Majorana Modes
- Transport of Majorana Bound State in the presence of telegraph noise
- Shuttling Majorana zero modes in disordered and noisy topological superconductors
- Properties and prevalence of false poor man's Majoranas in two- and three-site artificial Kitaev chains
- Revisiting the Poor Man's Majoranas: The Spin-Exchange Induced Spillover Effect
- Quantum capacitance and parity switching of a quantum-dot-based Kitaev chain
- Fluctuation response of a minimal Kitaev chain in nonequilibrium states