Characterizing Quantum Microwave Radiation and its Entanglement with Superconducting Qubits using Linear Detectors
arXiv:1206.3405 · doi:10.1103/PhysRevA.86.032106
Abstract
Recent progress in the development of superconducting circuits has enabled the realization of interesting sources of nonclassical radiation at microwave frequencies. Here, we discuss field quadrature detection schemes for the experimental characterization of itinerant microwave photon fields and their entanglement correlations with stationary qubits. In particular, we present joint state tomography methods of a radiation field mode and a two-level system. Including the case of finite quantum detection efficiency, we relate measured photon field statistics to generalized quasi-probability distributions and statistical moments for one-channel and two-channel detection. We also present maximum-likelihood methods to reconstruct density matrices from measured field quadrature histograms. Our theoretical investigations are supported by the presentation of experimental data, for which microwave quantum fields beyond the single-photon and Gaussian level have been prepared and reconstructed.
14 pages, 5 figures
References in corpus (23)
- The Quantum Internet
- An Elementary Quantum Network of Single Atoms in Optical Cavities
- Strong Coupling of a Spin Ensemble to a Superconducting Resonator
- Amplification and squeezing of quantum noise with a tunable Josephson metamaterial
- Reconstruction of non-classical cavity field states with snapshots of their decoherence
- Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
- Generating Single Microwave Photons in a Circuit
- Observation of Resonant Photon Blockade at Microwave Frequencies using Correlation Function Measurements
- Complete universal quantum gate set approaching fault-tolerant thresholds with superconducting qubits
- Observation of quantum jumps in a superconducting artificial atom
- Single-shot qubit readout in circuit Quantum Electrodynamics
- Single-shot qubit readout in circuit Quantum Electrodynamics
- Measurements of the Correlation Function of a Microwave Frequency Single Photon Source
- Tunable ion-photon entanglement in an optical cavity
- Deterministic entanglement of photons in two superconducting microwave resonators
- Diluted maximum-likelihood algorithm for quantum tomography
- Microwave Photon Detector in Circuit QED
- Schemes for the observation of photon correlation functions in circuit QED with linear detectors
- Biased tomography schemes: an objective approach
- Quantum-to-Classical Transition in Cavity Quantum Electrodynamics
- Dynamics of dispersive single qubit read-out in circuit quantum electrodynamics
- Planck Spectroscopy and the Quantum Noise of Microwave Beam Splitters
- Experimental Extraction of Secure Correlations from a Noisy Private State