State selective detection of hyperfine qubits

Abstract

In order to faithfully detect the state of an individual two-state quantum system (qubit) realized using, for example, a trapped ion or atom, state selective scattering of resonance fluorescence is well established. The simplest way to read out this measurement and assign a state is the threshold method. The detection error can be decreased by using more advanced detection methods like the time-resolved method or the $\pi$-pulse detection method. These methods were introduced to qubits with a single possible state change during the measurement process. However, there exist many qubits like the hyperfine qubit of ${}^{171}Y{b}^{+}$ where several state change are possible. To decrease the detection error for such qubits, we develope generalizations of the time-resolved method and the $\pi$-pulse detection method for such qubits. We show the advantages of these generalized detection methods in numerical simulations and experiments using the hyperfine qubit of ${}^{171}Y{b}^{+}$. The generalized detection methods developed here can be implemented in an efficient way such that experimental real time state discrimination with improved fidelity is possible.

22 pages, 9 figures

References in corpus (15)

• Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
• High-fidelity readout of trapped-ion qubits
• Single-qubit-gate error below 10^-4 in a trapped ion
• Designer Spin Pseudomolecule Implemented with Trapped Ions in a Magnetic Gradient
• High Speed, High Fidelity Detection of an Atomic Hyperfine Qubit
• Electrodynamically trapped Yb+ ions for quantum information processing
• Robust state preparation of a single trapped ion by adiabatic passage
• Simple Manipulation of a Microwave Dressed-State Ion Qubit
• Scalable simultaneous multi-qubit readout with 99.99% single-shot fidelity
• A microfabricated ion trap with integrated microwave circuitry
• Hyperfine and Optical Barium Ion Qubits
• Single qubit manipulation in a microfabricated surface electrode ion trap
• High fidelity entanglement of 43Ca+ hyperfine clock states
• A Novel, Robust Quantum Detection Scheme
• Laser spectroscopy and cooling of Yb+ ions on a deep-UV transition

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• Scalable ion-photon quantum interface based on integrated diffractive mirrors
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• Speeding-up the decision making of a learning agent using an ion trap quantum processor
• Scalable hyperfine qubit state detection via electron shelving in the ${}^2$D${}_{5/2}$ and ${}^2$F${}_{7/2}$ manifolds in ${}^{171}$Yb${}^{+}$
• Maximal adaptive-decision speedups in quantum-state readout
• Dynamically corrected gates suppress spatio-temporal error correlations as measured by randomized benchmarking
• Robust readout of bosonic qubits in the dispersive coupling regime
• Single-shot number-resolved detection of microwave photons with error mitigation
• Generalized figure of merit for qubit readout
• Radio-frequency sideband cooling and sympathetic cooling of trapped ions in a static magnetic field gradient
• Ion-Photonic Frequency Qubit Correlations for Quantum Networks
• Investigating the origin of time with trapped ions
• Distinguishing between statistical and systematic errors in quantum process tomography
• Efficient site-resolved imaging and spin-state detection in dynamic two-dimensional ion crystals
• Ultrafast coherent excitation of an Ytterbium ion with single laser pulses
• Improving quantum state detection with adaptive sequential observations