scholarly journals Single-Port Homodyne Detection in a Squeezed-State Interferometry with Optimal Data Processing

Photonics ◽  
2021 ◽  
Vol 8 (8) ◽  
pp. 291
Author(s):  
Likun Zhou ◽  
Pan Liu ◽  
Guang-Ri Jin
Keyword(s):  
Data Processing ◽  
Outcome Measurement ◽  
Phase Sensitivity ◽  
Homodyne Detection ◽  
Squeezed State ◽  
Phase Measurements ◽  
Single Output ◽  
Optimal Value ◽  
Phase Resolution ◽  
Approximate Maximum Likelihood Estimator

Performing homodyne detection at a single output port of a squeezed-state light interferometer and then separating the measurement quadrature into several bins can realize superresolving and supersensitive phase measurements. However, the phase resolution and the achievable phase sensitivity depend on the bin size that is adopted in the data processing. By maximizing classical Fisher information, we analytically derive an optimal value of the bin size and the associated best sensitivity for the case of three bins, which can be regarded as a three-outcome measurement. Our results indicate that both the resolution and the achievable sensitivity are better than that of the previous binary–outcome case. Finally, we present an approximate maximum Likelihood estimator to asymptotically saturate the ultimate lower bound of the phase sensitivity.

Study on Elliptic Filters in Airborne Gravity Data Processing

2013 ◽  
Vol 341-342 ◽  
pp. 999-1004
Author(s):  
Wei Zhou ◽  
Ti Jing Cai
Keyword(s):  
Data Processing ◽  
Gravity Data ◽  
Airborne Gravity ◽  
Optimal Parameters ◽  
Evaluation Indicator ◽  
Filter Order ◽  
Upper Limit ◽  
Optimal Value ◽  
Low Pass ◽  
Stopband Attenuation

For low-pass filtering of airborne gravity data processing, elliptic low-pass digital filters were designed and filtering influences of the elliptic filter order, upper limit passband frequency, maximal passband attenuation and minimal stopband attenuation were studied. The results show that the upper limit passband frequency has the greatest effect on filtering among four parameters; the filter order and the maximal passband attenuation have some influence, but instability will increase with larger order; the effect of the minimal stopband attenuation is not obvious when reaching a certain value, which requires a combination of evaluation indicator accuracy to determine the optimal value. The standard deviations of discrepancies between the elliptic filtered gravity anomaly with optimal parameters and the commercial software result are within 1mGal, and the internal accord accuracy along four survey lines after level adjusting is about 0.620mGal.

TOWARD A FULL RECONSTRUCTION OF DENSITY MATRIX BY ON/OFF MEASUREMENTS

2009 ◽  
Vol 07 (supp01) ◽  
pp. 27-32 ◽  
Author(s):  
G. BRIDA ◽  
M. GENOVESE ◽  
M. GRAMEGNA ◽  
P. TRAINA ◽  
E. PREDAZZI ◽  
...  
Keyword(s):  
Quantum Mechanics ◽  
Quantum Information ◽  
Density Matrix ◽  
Foundations Of Quantum Mechanics ◽  
Quantum Tomography ◽  
Local Oscillator ◽  
Homodyne Detection ◽  
Short Pulses ◽  
Phase Measurements ◽  
Full Reconstruction

The knowledge of density matrix is fundamental for several applications, ranging from quantum information to the foundations of quantum mechanics and quantum optics. Nevertheless, quantum tomography based on homodyne detection is a rather complicated technique when applied to short pulses in photocounting regime. In this paper, we present an experimental work addressed to test an innovative scheme for a full reconstruction of the density matrix by using on/off detection coupled to phase measurements respect to a local oscillator.

scholarly journals Phase sensitivity of an $\operatorname{SU}(1,1)$ interferometer via product detection

2021 ◽  
Vol 8 (1) ◽  
Author(s):  
Qingle Wang ◽  
Yami Fang ◽  
Xiaoping Ma ◽  
Dong Li
Keyword(s):  
Coherent States ◽  
The Other ◽  
Phase Sensitivity ◽  
Homodyne Detection ◽  
Quantum Metrology ◽  
Parametric Amplifiers ◽  
Detection Scheme ◽  
Beam Splitters ◽  
Cramer Rao Bound

AbstractWe theoretically analyze the phase sensitivity of an $\operatorname{SU}(1,1)$ SU ( 1 , 1 ) interferometer with various input states by product detection in this paper. This interferometer consists of two parametric amplifiers that play the role of beam splitters in a traditional Mach–Zehnder interferometer. The product of the amplitude quadrature of one output mode and the momentum quadrature of the other output mode is measured via balanced homodyne detection. We show that product detection has the same phase sensitivity as parity detection for most cases, and it is even better in the case with two coherent states at the input ports. The phase sensitivity is also compared with the Heisenberg limit and the quantum Cramér–Rao bound of the $\operatorname{SU}(1,1)$ SU ( 1 , 1 ) interferometer. This detection scheme can be easily implemented with current homodyne technology, which makes it highly feasible. It can be widely applied in the field of quantum metrology.

Gapless high-resolution QCL dual-comb spectroscopy with real-time data processing for dynamic gas-phase measurements

2021 ◽  
Author(s):  
Michele Gianella ◽  
Simon Vogel ◽  
Kenichi Komagata ◽  
Johannes Hillbrand ◽  
Filippos Kapsalidis ◽  
...  
Keyword(s):  
High Resolution ◽  
Data Processing ◽  
Real Time ◽  
Gas Phase ◽  
Time Data ◽  
Phase Measurements ◽  
Real Time Data ◽  
Real Time Data Processing

scholarly journals SQUEEZED VACUUM INTERFEROMETRY

1995 ◽  
Vol 09 (18) ◽  
pp. 1141-1147 ◽  
Author(s):  
MATTEO G.A. PARIS
Keyword(s):  
Phase Sensitivity ◽  
Homodyne Detection ◽  
Squeezed Vacuum ◽  
Phase Properties

A high-sensitive interferometric scheme is presented. It is based on homodyne detection and squeezed vacuum phase properties. The resulting phase sensitivity scales as δϕ≃[Formula: see text] with respect to input photons number.

Microwave Phase Measurements Associated with the Goos–Hänchen Shift

1972 ◽  
Vol 50 (1) ◽  
pp. 52-56 ◽  
Author(s):  
L. Arthur ◽  
A. Read ◽  
I. R. Dagg ◽  
G. E. Reesor
Keyword(s):  
Satisfactory Agreement ◽  
Total Internal Reflection ◽  
Critical Angle ◽  
Detection Method ◽  
Microwave Energy ◽  
Internal Reflection ◽  
Phase Changes ◽  
Homodyne Detection ◽  
Phase Measurements ◽  
Made In

Microwave phase measurements, using the Robertson homodyne detection method, have been made in the field outside a dielectric prism after microwave energy has experienced total internal reflection. The phase changes that occur in this case are explained by extending Artmann's theory of the Goos-Hänchen effect to microwave optics. Satisfactory agreement between the theory and measurements has been obtained for angles of incidence from 40 to 50° on a dielectric boundary for which the critical angle is 36.4°.

Quantifying the Error of Radar-Estimated Refractivity by Multiple Elevation and Dual-Polarimetric Data

2018 ◽  
Vol 35 (10) ◽  
pp. 1897-1911
Author(s):  
Ya-Chien Feng ◽  
Frédéric Fabry
Keyword(s):  
Time Series ◽  
Data Processing ◽  
Data Quality ◽  
Estimation Method ◽  
Bulk Phase ◽  
Good Knowledge ◽  
Observational Error ◽  
Target Density ◽  
Phase Measurements

AbstractTo properly use radar refractivity data quantitatively, good knowledge of its errors is required. The data quality of refractivity critically depends on the phase measurements of ground targets that are used for the refractivity estimation. In this study, the observational error structure of refractivity is first estimated based on quantifying the uncertainties of phase measurements, data processing, and the refractivity estimation method. New correlations between the time series of phase measurements at different elevation angles and between polarizations are developed to assess the bulk phase variability of individual targets. Then, the observational error of refractivity is obtained by simulating the uncertainties of phase measurements through the original refractivity estimation method. Resulting errors in refractivity are found to be smaller than 1 N-unit in areas densely populated with reliable point-like stationary ground targets but grow as the target density becomes sparse.

Persistent and enhanced spin-nematic squeezing in a spinor Bose-Einstein condensate

2021 ◽  
Author(s):  
Xinfang Li ◽  
Jianning Liu ◽  
Osei Seth ◽  
Heng-Na Xiong ◽  
Qingshou Tan ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Phase Measurement ◽  
Einstein Condensate ◽  
Phase Sensitivity ◽  
Squeezed State ◽  
Simple Scheme ◽  
Bose Einstein Condensate ◽  
Fixed Direction ◽  
Bose Einstein ◽  
Initial Magnetic Field

Abstract We propose a simple scheme to realize the persistent spin-nematic squeezing in a spinor Bose-Einstein condensate by rapidly turning-off the external magnetic field at a time that maximal spin-nematic squeezing occurs. We observe that the optimal spinnematic squeezing can be maintained in a nearly fixed direction. For a proper initial magnetic field, the optimal squeezing can be obviously enhanced. We further construct a spin-mixing interferometer, where the quantum correlation of the squeezed state (generated by our scheme) is fully utilized in the phase measurement, and show the phase sensitivity of the interferometer has a significant enhancement.

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