Complete physical characterization of QND measurements via tomography

Abstract

We introduce a self-consistent tomography for arbitrary quantum non-demolition (QND) detectors. Based on this, we build a complete physical characterization of the detector, including the measurement processes and a quantification of the fidelity, ideality, and back-action of the measurement. This framework is a diagnostic tool for the dynamics of QND detectors, allowing us to identify errors, and to improve their calibration and design. We illustrate this on a realistic Jaynes-Cummings simulation of superconducting qubit readout. We characterize non-dispersive errors, quantify the back-action introduced by the readout cavity, and calibrate the optimal measurement point.

References in corpus (83)

• A variational eigenvalue solver on a quantum processor
• Quantum sensing
• Surface codes: Towards practical large-scale quantum computation
• Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• Supervised learning with quantum enhanced feature spaces
• On the Measurement of Qubits
• Circuit Quantum Electrodynamics
• Continuous-variable optical quantum state tomography
• Quantum state tomography via compressed sensing
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• High-fidelity projective readout of a solid-state spin quantum register
• Efficient quantum state tomography
• Conversion of conventional gravitational-wave interferometers into QND interferometers by modifying their input and/or output optics
• Quantum jumps of light recording the birth and death of a photon in a cavity
• Roads towards fault-tolerant universal quantum computation
• The Flux Qubit Revisited to Enhance Coherence and Reproducibility
• Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
• Fast Scalable State Measurement with Superconducting Qubits
• Measuring measurement
• Observation of quantum jumps in a superconducting artificial atom
• Mitigating measurement errors in multi-qubit experiments
• Qudit Quantum State Tomography
• Realizing Rapid, High-Fidelity, Single-Shot Dispersive Readout of Superconducting Qubits
• Dispersive regime of circuit QED: photon-dependent qubit dephasing and relaxation rates
• Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
• Self-Consistent Quantum Process Tomography
• Building a fault-tolerant quantum computer using concatenated cat codes
• Fast Reset and Suppressing Spontaneous Emission of a Superconducting Qubit
• Rapid high-fidelity multiplexed readout of superconducting qubits
• Efficient tomography of a quantum many-body system
• Permutationally invariant quantum tomography
• Optical quantum nondemolition measurement of a solid-state spin without a cycling transition
• Quantum back action evading measurement of motion in a negative mass reference frame
• Measurement-induced state transitions in a superconducting qubit: Beyond the rotating wave approximation
• Quantum Measurement Theory in Gravitational-Wave Detectors
• Fast quantum non-demolition readout from longitudinal qubit-oscillator interaction
• Maximum-likelihood estimation of quantum measurement
• Quantum non-demolition detection of an itinerant microwave photon
• Complete Characterization of Quantum-Optical Processes
• Dispersive measurements of superconducting qubit coherence with a fast, latching readout
• Experimental quantum compressed sensing for a seven-qubit system
• Detector Tomography on IBM 5-qubit Quantum Computers and Mitigation of Imperfect Measurement
• Gated conditional displacement readout of superconducting qubits
• Improved Superconducting Qubit Readout by Qubit-Induced Nonlinearities
• Quantum theory of a bandpass Purcell filter for qubit readout
• Measurement-induced qubit state mixing in circuit QED from up-converted dephasing noise
• Superfast maximum likelihood reconstruction for quantum tomography
• Single-Shot Quantum Non-Demolition Detection of Itinerant Microwave Photons
• Detecting itinerant microwave photons with engineered non-linear dissipation
• Rapid Driven Reset of a Qubit Readout Resonator
• Single-shot Readout of a Superconducting Qubit using a Josephson Parametric Oscillator
• Frequency Division Multiplexing Readout and Simultaneous Manipulation of an Array of Flux Qubits
• Mapping coherence in measurement via full quantum tomography of a hybrid optical detector
• Measurement of a Superconducting Qubit with a Microwave Photon Counter
• Simultaneous tracking of spin angle and amplitude beyond classical limits
• Introduction to Quantum Gate Set Tomography
• An introduction to operational quantum dynamics
• Noisy quantum metrology enhanced by continuous nondemolition measurement
• Fast high fidelity quantum non-demolition qubit readout via a non-perturbative cross-Kerr coupling
• Five measurement bases determine pure quantum states on any dimension
• Quantum nondemolition measurement of an electron spin qubit
• Optimization of a solid-state electron spin qubit using Gate Set Tomography
• Error mitigation for variational quantum algorithms through mid-circuit measurements
• Adaptive compressive tomography with no a priori information
• Repetitive quantum non-demolition measurement and soft decoding of a silicon spin qubit
• Theory of a Quantum Scanning Microscope for Cold Atoms
• Number-resolved photocounter for propagating microwave mode
• High-fidelity qubit measurement with a microwave photon counter
• Fault-tolerant protection of near-term trapped-ion topological qubits under realistic noise sources
• Implementing and characterizing precise multi-qubit measurements
• Efficient Pure State Quantum Tomography from Five Orthonormal Bases
• Ideal Quantum Nondemolition Readout of a Flux Qubit Without Purcell Limitations
• Adaptive compressive tomography: a numerical study
• Multiplexed photon number measurement
• Continuous Measurement of an Atomic Current
• Single-shot number-resolved detection of microwave photons with error mitigation
• Entanglement Generated by the Dispersive Interaction: The Dressed Coherent State
• Multiphoton Scattering Tomography with Coherent States
• Conditionally rigorous mitigation of multiqubit measurement errors
• Scalable estimation of pure multi-qubit states
• Matrix-Completion Quantum State Tomography
• Characterizing mid-circuit measurements on a superconducting qubit using gate set tomography

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• Randomized Benchmarking Protocol for Dynamic Circuits