Quadrature Squeezing And Temperature Estimation From The Fock Distribution
arXiv:2111.04923 · doi:10.1007/s11128-022-03677-5
Abstract
We present a method to estimate the amount of squeezing and temperature of a single-mode Gaussian harmonic oscillator state based on the weighted least squares estimator applied to measured Fock state populations. Squeezing and temperature, or equivalently the quadrature variances, are essential parameters states used in various quantum communication and sensing protocols. They are often measured with homodyne-style detection, which requires a phase reference such as a local oscillator. Our method allows estimation without a phase reference, by using for example a photon-number-resolving detector. To evaluate the performance of our estimator, we simulated experiments with different values of squeezing and temperature. From 10,000 Fock measurement events we produced estimates for states whose fidelities to the true state are greater than 99.99% for small squeezing (r < 1.0), and for high squeezing (r = 2.5) we obtain fidelities greater than 99.9%. We also report confidence intervals and their coverage probabilities.
arXiv comment8 pages, 4 figures
References in corpus (18)
- Encoding a qubit in an oscillator
- Continuous-variable optical quantum state tomography
- Quantum optics in the phase space - A tutorial on Gaussian states
- Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
- Unconditional violation of the shot noise limit in photonic quantum metrology
- Quantum amplification of mechanical oscillator motion
- Quantum state tomography of an itinerant squeezed microwave field
- Diluted maximum-likelihood algorithm for quantum tomography
- Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes
- Uhlmann fidelity between two-mode Gaussian states
- An On-chip Homodyne Detector for Measuring Quantum States and Generating Random Numbers
- Photon distribution for one mode mixed light with generic gaussian Wigner function
- Waveguide photon-number-resolving detectors for quantum photonic integrated circuits
- Fault-tolerant quantum computation with static linear optics
- Scalable multiphoton quantum metrology with neither pre- nor post-selected measurements
- Integrated transition edge sensors on lithium niobate waveguides
- Rapid Quantum Squeezing by Jumping the Harmonic Oscillator Frequency
- Counting statistics of microwave photons in circuit QED