Optimizing single microwave-photon detection: Input-Output theory

Abstract

High fidelity microwave photon counting is an important tool for various areas from background radiation analysis in astronomy to the implementation of circuit QED architectures for the realization of a scalable quantum information processor. In this work we describe a microwave photon counter coupled to a semi-infinite transmission line. We employ input-output theory to examine a continuously driven transmission line as well as traveling photon wave packets. Using analytic and numerical methods, we calculate the conditions on the system parameters necessary to optimize measurement and achieve high detection efficiency.

10 pages + 4 pages supplementary, 7 figures + 1 figure supplementary

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• Nondestructive photon counting in waveguide QED
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• Single-photon limit of dispersive readout of a qubit with a photodetector
• A superconducting detector that counts microwave photons up to two
• Quantum limits on noise for a class of nonlinear amplifiers
• Photon-number resolution with microwave Josephson photomultipliers
• Minimal Time Robust Control for Two Superconducting Qubits
• Nonlinear Parity Readout with a Microwave Photodetector
• Detector of microwave photon pairs based on a Josephson photomultiplier