Microwave readout of Majorana qubits
arXiv:1410.5445 · doi:10.1103/PhysRevB.91.085406
Abstract
Majorana qubits offer a promising way to store and manipulate quantum information by encoding it into the state of Majorana zero modes. As the information is stored in a topological property of the system, local noise cannot lead to decoherence. Manipulation of the information is achieved by braiding the zero modes. The measurement, however, is challenging as the information is well hidden and thus inherently hard to access. Here, we discuss a setup for measuring the state of a Majorana qubit by employing standard tools of microwave engineering. The basic physical effect that we employ is the fact that a voltage-biased Josephson junction hosting Majorana fermions allows photons to be emitted and absorbed at half the Josephson frequency. We show that in the dispersive regime, our setup allows us to perform a quantum nondemolition measurement and to reach the quantum limit. An appealing feature of our setup is that the interaction of the Majorana qubit with the measurement device can be turned on and off at will by changing the dc bias of the junction.
arXiv comment7 pages, 2 figures
References in corpus (34)
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Helical liquids and Majorana bound states in quantum wires
- New directions in the pursuit of Majorana fermions in solid state systems
- Non-abelian statistics of half-quantum vortices in p-wave superconductors
- Search for Majorana fermions in superconductors
- Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
- Introduction to topological superconductivity and Majorana fermions
- Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
- Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
- Proposed experiments to probe the non-abelian ν=5/2 quantum Hall state
- Dispersive regime of circuit QED: photon-dependent qubit dephasing and relaxation rates
- Majorana qubit decoherence by quasiparticle poisoning
- Qubit-oscillator dynamics in the dispersive regime: analytical theory beyond rotating-wave approximation
- Anyonic interferometry without anyons: How a flux qubit can read out a topological qubit
- Dynamical detection of Majorana fermions in current-biased nanowires
- Top-transmon: hybrid superconducting qubit for parity-protected quantum computation
- Failure of protection of Majorana based qubits against decoherence
- Dynamics of Majorana States in a Topological Josephson Junction
- Topological Protection of Majorana Qubits
- Decoherence of Majorana qubits by noisy gates
- Resonantly Tunable Majorana Polariton in a Microwave Cavity
- 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
- Microwave-controlled coupling of Majorana bound states
- Probing non-Abelian statistics with Majorana fermion interferometry in spin-orbit-coupled semiconductors
- Effects of non-equilibrium noise on a quantum memory encoded in Majorana zero modes
- Majorana fermions coupled to electromagnetic radiation
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- Destructive Little-Parks Effect in a Full-Shell Nanowire-based Transmon
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- Josephson effect in topological superconducting rings coupled to a microwave cavity
- Spectral response of Josephson junctions with low-energy quasiparticles
- Majorana Qubit Readout Using Longitudinal Qubit-Resonator Interaction
- Detecting Majorana modes by readout of poisoning-induced parity flips
- Cavity-induced charge transfer in periodic systems: length-gauge formalism
- Materials for Quantum Technologies: a Roadmap for Spin and Topology
- Multi-level effects in quantum-dot based parity-to-charge conversion of Majorana box qubits
- Implementation of single-qubit gates via parametric modulation in the Majorana transmon
- Probing Majorana bound states via a pn-junction containing a quantum dot
- Photonic cross-noise spectroscopy of Majorana bound states
- Electron-photon coupling in Mesoscopic Quantum Electrodynamics
- Parity readout in Majorana box qubits from the dispersive to the resonant regime