Counting statistics of microwave photons in circuit QED
arXiv:1911.05933 · doi:10.1103/PhysRevA.101.052321
Abstract
In superconducting circuit architectures for quantum computing, microwave resonators are often used both to isolate qubits from the electromagnetic environment and to facilitate qubit state readout. We analyze the full counting statistics of photons emitted from such driven readout resonators both in and beyond the dispersive approximation. We calculate the overlap between emitted-photon distributions for the two qubit states and explore strategies for its minimization with the purpose of increasing fidelity of intensity-sensitive readout techniques. In the dispersive approximation and at negligible qubit relaxation, both distributions are Poissonian, and the overlap between them can be easily made arbitrarily small. Nondispersive terms of the Hamiltonian generate squeezing and the Purcell decay with the latter effect giving the dominant contribution to the overlap between two distributions.
arXiv comment16 pages, 8 figures; published version
References in corpus (52)
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
- Charge insensitive qubit design derived from the Cooper pair box
- Surface codes: Towards practical large-scale quantum computation
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- QuTiP: An open-source Python framework for the dynamics of open quantum systems
- Introduction to Quantum Noise, Measurement and Amplification
- Microwave photonics with superconducting quantum circuits
- Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
- Fast Scalable State Measurement with Superconducting Qubits
- Quantum codes on a lattice with boundary
- Realizing Rapid, High-Fidelity, Single-Shot Dispersive Readout of Superconducting Qubits
- High-fidelity readout of trapped-ion qubits
- Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
- High-Fidelity Readout in Circuit Quantum Electrodynamics Using the Jaynes-Cummings Nonlinearity
- Fast Reset and Suppressing Spontaneous Emission of a Superconducting Qubit
- The high-coherence fluxonium qubit
- Microwave Photon Counter Based on Josephson Junctions
- Dynamic quantum Kerr effect in circuit quantum electrodynamics
- Controlled catch and release of microwave photon states
- Microwave Photon Detector in Circuit QED
- Protocols for optimal readout of qubits using a continuous quantum nondemolition measurement
- Quantum--Classical Interface Based on Single Flux Quantum Digital Logic
- Digital coherent control of a superconducting qubit
- Cavity-based single atom preparation and high-fidelity hyperfine state readout
- Improved Superconducting Qubit Readout by Qubit-Induced Nonlinearities
- Quantum theory of a bandpass Purcell filter for qubit readout
- Perfect Microwave Photodetection in Circuit QED
- Single-shot Readout of a Superconducting Qubit using a Josephson Parametric Oscillator
- Lossless State Detection of Single Neutral Atoms
- Measurement of a Superconducting Qubit with a Microwave Photon Counter
- Parallel low-loss measurement of multiple atomic qubits
- Broadband Filters for Abatement of Spontaneous Emission in Circuit Quantum Electrodynamics
- Purcell effect with microwave drive: Suppression of qubit relaxation rate
- Detection of weak microwave fields with an underdamped Josephson junction
- Quantum efficiency of a microwave photon detector based on a current-biased Josephson junction
- Scalable Hardware-Efficient Qubit Control with Single Flux Quantum Pulse Sequences
- Full Counting Statistics of Photons Emitted by Double Quantum Dot
- Quantum efficiency of a microwave photon detector based on a double quantum dot
- Photon counting statistics of a microwave cavity
- High-fidelity qubit measurement with a microwave photon counter
- Measuring a transmon qubit in circuit QED: dressed squeezed states
- Photodetection of propagating quantum microwaves in circuit QED
- Theory of Josephson Photomultipliers: Optimal Working Conditions and Back Action
- Catch-Disperse-Release Readout for Superconducting Qubits
- Sequential dispersive measurement of a superconducting qubit
- Optimizing single microwave-photon detection: Input-Output theory
- Improved qubit bifurcation readout in the straddling regime of circuit QED
- Scalable two- and four-qubit parity measurement with a threshold photon counter
- Optimal conditions for high-fidelity dispersive readout of a qubit with a photon-number-resolving detector
- Nonlinear Parity Readout with a Microwave Photodetector
Cited by in corpus (6)
- Single-Shot Readout of a Superconducting Qubit Using a Thermal Detector
- Unified Light-Matter Floquet Theory and its Application to Quantum Communication
- Efficient computation of cumulant evolution and full counting statistics: application to infinite temperature quantum spin chains
- Exploring Supersymmetry: Interchangeability Between Jaynes-Cummings and Anti-Jaynes-Cummings Models
- Quadrature Squeezing And Temperature Estimation From The Fock Distribution
- Proposal for erasure conversion in integer fluxonium qubits