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Updated: Jan 26, 2026
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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Quadrature histograms in maximum-likelihood quantum state tomography
J L E Silva1, S Glancy2, H M Vasconcelos1,2
1Departamento de Engenharia de Teleinformática, Universidade Federal do Ceará, Fortaleza, Ceará, 60440, Brazil.
Physical Review. A
|April 19, 2019
Summary
Discretizing continuous variable measurements in quantum state tomography reduces computation time. This method maintains high fidelity for estimating quantum states of light, essential for quantum information science.
Area of Science:
- Quantum Information Science
- Quantum Optics
- Quantum Measurement
Background:
- Quantum state tomography is crucial for characterizing quantum systems.
- Continuous variable quantum states of light are often studied using homodyne detection.
- Discretizing measurements is a common technique to reduce computational cost in tomography.
Purpose of the Study:
- To investigate strategies for discretizing continuous variable measurements in quantum state tomography.
- To determine the impact of histogram bin width selection on state estimation fidelity.
- To optimize computational efficiency in quantum state tomography without sacrificing accuracy.
Main Methods:
- Analyzing different strategies for setting histogram bin widths in quadrature-phase homodyne detection.
- Integrating measurement operators over chosen bin widths.
- Comparing the fidelity of estimated quantum states using discretized versus continuous measurements.
Main Results:
- Discretization of continuous variable measurements can be performed without significant loss in state estimation fidelity.
- Specific strategies for determining histogram bin widths were evaluated.
- Integrating measurement operators over bin widths significantly reduces computation time.
Conclusions:
- Discretizing continuous variable measurements is a viable approach for quantum state tomography.
- Optimized bin width selection and operator integration offer computational advantages.
- This method enhances the practicality of quantum state tomography for continuous variable systems.
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