Fermion parity measurement and control in Majorana circuit quantum electrodynamics
arXiv:1411.5699 · doi:10.1103/PhysRevB.92.075143
Abstract
We investigate the quantum electrodynamics of a device based on a topological superconducting circuit embedded in a microwave resonator. The device stores its quantum information in coherent superpositions of fermion parity states originating from Majorana fermion hybridization. This generates a highly isolated qubit whose coherence time could be greatly enhanced. We extend the conventional semiclassical method and obtain analytical derivations for strong transmon-photon coupling. Using this formalism, we develop protocols to initialize, control, and measure the parity states. We show that, remarkably, the parity eigenvalue can be detected via dispersive shifts of the optical cavity in the strong-coupling regime and its state can be coherently manipulated via a second-order sideband transition.
7 pages, 3 figures (published version)
References in corpus (22)
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Charge insensitive qubit design derived from the Cooper pair box
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Coupling Superconducting Qubits via a Cavity Bus
- Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
- Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
- Superconducting qubit in waveguide cavity with coherence time approaching 0.1ms
- Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
- Controlling the spontaneous emission of a superconducting transmon qubit
- AC-Stark Shift and Dephasing of a Superconducting Qubit Strongly Coupled to a Cavity Field
- Qubit-photon interactions in a cavity: Measurement induced dephasing and number splitting
- Coplanar Waveguide Resonators for Circuit Quantum Electrodynamics
- Quantum Non-demolition Detection of Single Microwave Photons in a Circuit
- Protocols for optimal readout of qubits using a continuous quantum nondemolition measurement
- Improving the Quality Factor of Microwave Compact Resonators by Optimizing their Geometrical Parameters
- Experimental quantum information processing with 43Ca+ ions
- Tunability of microwave transitions as a signature of coherent parity mixing effects in the Majorana-Transmon qubit
- Proposal for Coherent Coupling of Majorana Zero Modes and Superconducting Qubits Using the 4 pi-Josephson Effect
- Squeezing light with Majorana fermions
- Majorana qubit rotations in microwave cavities
- Detection and Manipulation of Majorana Fermions in Circuit QED
- Microwave readout of Majorana qubits
Cited by in corpus (34)
- Milestones toward Majorana-based quantum computing
- Majorana box qubits
- Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
- Direct Dispersive Monitoring of Charge Parity in Offset-Charge-Sensitive Transmons
- Majorana wavefunction oscillations, fermion parity switches, and disorder in Kitaev chains
- A perspective on semiconductor-based superconducting qubits
- Cavity QED with hybrid nanocircuits: from atomic-like physics to condensed matter phenomena
- Cavity quantum electrodynamics with mesoscopic topological superconductors
- Readout of Majorana Qubits
- Magnetic field resilient high kinetic inductance superconducting niobium nitride coplanar waveguide resonators
- Direct cavity detection of Majorana pairs
- Minimal Kitaev-transmon qubit based on double quantum dots
- Dispersive readout of Majorana qubits
- Magnetic-Field-Compatible Superconducting Transmon Qubit
- Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
- Differentiating Majorana from Andreev Bound States in a Superconducting Circuit
- Four-Majorana qubit with charge readout: dynamics and decoherence
- Majorana oscillations and parity crossings in semiconductor-nanowire-based transmon qubits
- Majorana Spin Liquids, Topology and Superconductivity in Ladders
- Spectral response of Josephson junctions with low-energy quasiparticles
- Josephson effect in topological superconducting rings coupled to a microwave cavity
- Superconducting islands with semiconductor-nanowire-based topological Josephson junctions
- Gatemon qubit based on a thin InAs-Al hybrid nanowire
- Fermion-Parity-Based Computation and its Majorana-Zero-Mode Implementation
- Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
- Implementation of single-qubit gates via parametric modulation in the Majorana transmon
- Tunneling of fluxons via a Josephson resonant level
- Topological Josephson Bifurcation Amplifier: Semiclassical theory
- Physics of the Majorana-superconducting qubit hybrids
- Protected ground states in short chains of coupled spins in circuit quantum electrodynamics
- Majorana bound state parity exchanges in planar Josephson junctions
- Parity readout in Majorana box qubits from the dispersive to the resonant regime
- Electromagnetic response of the surface states of a topological insulator nanowire embedded within a resonator
- SWAP gate between a Majorana qubit and a parity-protected superconducting qubit