Qubit Parity Measurement by Parametric Driving in Circuit QED
arXiv:1802.10112 · doi:10.1126/sciadv.aau1695
Abstract
Multi-qubit parity measurements are essential to quantum error correction. Current realizations of these measurements often rely on ancilla qubits, a method that is sensitive to faulty two-qubit gates and which requires significant experimental overhead. We propose a hardware-efficient multi-qubit parity measurement exploiting the bifurcation dynamics of a parametrically driven nonlinear oscillator. This approach takes advantage of the resonator's parametric oscillation threshold which is a function of the joint parity of dispersively coupled qubits, leading to high-amplitude oscillations for one parity subspace and no oscillation for the other. We present analytical and numerical results for two- and four-qubit parity measurements with high-fidelity readout preserving the parity eigenpaces. Moreover, we discuss a possible realization which can be readily implemented with the current circuit QED experimental toolbox. These results could lead to significant simplifications in the experimental implementation of quantum error correction, and notably of the surface code.
arXiv comment8 pages, 3 figures, Supplemental Material (14 pages)
References in corpus (45)
- Fault-tolerant quantum computation by anyons
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Charge insensitive qubit design derived from the Cooper pair box
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
- Heralded entanglement between solid-state qubits separated by 3 meters
- State preservation by repetitive error detection in a superconducting quantum circuit
- Topological fault-tolerance in cluster state quantum computation
- Superconducting qubit in waveguide cavity with coherence time approaching 0.1ms
- Detecting arbitrary quantum errors via stabilizer measurements on a sublattice of the surface code
- Qubit-photon interactions in a cavity: Measurement induced dephasing and number splitting
- Deterministic entanglement of superconducting qubits by parity measurement and feedback
- Introduction to Quantum Electromagnetic Circuits
- Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving
- Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
- Implementing a strand of a scalable fault-tolerant quantum computing fabric
- Fast Reset and Suppressing Spontaneous Emission of a Superconducting Qubit
- 3-Wave Mixing Josephson Dipole Element
- Dynamic quantum Kerr effect in circuit quantum electrodynamics
- Controlled catch and release of microwave photon states
- Demonstration of weight-four parity measurements in the surface code architecture
- Demonstration of entanglement-by-measurement of solid state qubits
- Switching via quantum activation: A parametrically modulated oscillator
- Superconducting quantum node for entanglement and storage of microwave radiation
- Schrodinger's catapult: Launching multiphoton quantum states from a microwave cavity memory
- Machine learning for discriminating quantum measurement trajectories and improving readout
- Parametric resonance in tunable superconducting cavities
- First-order sidebands in circuit QED using qubit frequency modulation
- Rapid Driven Reset of a Qubit Readout Resonator
- Single-shot Readout of a Superconducting Qubit using a Josephson Parametric Oscillator
- Active resonator reset in the nonlinear dispersive regime of circuit QED
- Effect of higher-order nonlinearities on amplification and squeezing in Josephson parametric amplifiers
- Tunable joint measurements in the dispersive regime of cavity QED
- Storage and on-demand release of microwaves using superconducting resonators with tunable coupling
- Entanglement genesis by ancilla-based parity measurement in 2D circuit QED
- Stabilizer quantum error correction toolbox for superconducting qubits
- Quantum trajectory equation for multiple qubits in circuit QED: Generating entanglement by measurement
- High fidelity feed-back assisted parity measurement in circuit QED
- Resonator reset in circuit QED by optimal control for large open quantum systems
- Multi-qubit parity measurement in circuit quantum electrodynamics
- Undoing measurement-induced dephasing in circuit QED
- Stochastic Master Equation Analysis of Optimized Three-Qubit Nondemolition Parity Measurement
- Scalable two- and four-qubit parity measurement with a threshold photon counter
- Multi-Qubit Joint Measurements in Circuit QED: Stochastic Master Equation Analysis
- Towards a heralded eigenstate preserving measurement of multi-qubit parity in circuit QED
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- Rapid and Unconditional Parametric Reset Protocol for Tunable Superconducting Qubits
- Experimental demonstration of continuous quantum error correction
- Relaxing Hardware Requirements for Surface Code Circuits using Time-dynamics
- Counteracting dephasing in Molecular Nanomagnets by optimized qudit encodings
- Single Shot i-Toffoli Gate in Dispersively Coupled Superconducting Qubits
- Strong parametric dispersive shifts in a statically decoupled multi-qubit cavity QED system
- Optimal two-photon excitation of bound states in non-Markovian waveguide QED
- Always-On Quantum Error Tracking with Continuous Parity Measurements
- Fermion-Parity-Based Computation and its Majorana-Zero-Mode Implementation
- Parametric multi-element coupling architecture for coherent and dissipative control of superconducting qubits
- Single-shot energetic-based estimator for entanglement in a half-parity measurement setup
- Flying-cat parity checks for quantum error correction
- Unraveling the switching dynamics in a quantum double-well potential
- Protecting information in a parametrically driven hybrid quantum system
- Exact amplitudes of parametric processes in driven Josephson circuits