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Surmounting intrinsic quantum-measurement uncertainties in Gaussian-state tomography with quadrature squeezing.

Řeháček J, Teo YS, Hradil Z, Wallentowitz S - Sci Rep (2015)

Bottom Line: We reveal that quadrature squeezing can result in significantly better quantum-estimation performance with quantum heterodyne detection (of H.Yuen and J.In this sense, quadrature squeezing can be used to overcome intrinsic quantum-measurement uncertainties in heterodyne detection.

View Article: PubMed Central - PubMed

Affiliation: Department of Optics, Palacký University, 17. listopadu 12, 77146 Olomouc, Czech Republic.

ABSTRACT
We reveal that quadrature squeezing can result in significantly better quantum-estimation performance with quantum heterodyne detection (of H. P. Yuen and J. H. Shapiro) as compared to quantum homodyne detection for Gaussian states, which touches an important aspect in the foundational understanding of these two schemes. Taking single-mode Gaussian states as examples, we show analytically that the competition between the errors incurred during tomogram processing in homodyne detection and the Arthurs-Kelly uncertainties arising from simultaneous incompatible quadrature measurements in heterodyne detection can often lead to the latter giving more accurate estimates. This observation is also partly a manifestation of a fundamental relationship between the respective data uncertainties for the two schemes. In this sense, quadrature squeezing can be used to overcome intrinsic quantum-measurement uncertainties in heterodyne detection.

No MeSH data available.


Plots of σθ (Blue) and Σθ (Red) as functions of θ.
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f7: Plots of σθ (Blue) and Σθ (Red) as functions of θ.

Mentions: Figure 7 shows that homodyne detection seems to give smaller errors for nearly circular states, while for states of highly elongated Wigner functions, uncertainty suppression is observed with heterodyne detection for almost all angles. Naturally, if we integrate/cut approximately along the direction of a principal axis, homodyne data is less noisy. However, the interval of angles for which σθ < Σθ shrinks as the Wigner function becomes more elongated. Figure 8 shows the uncertainty regions for the two schemes.The area of the heterodyne uncertainty ellipse is given by


Surmounting intrinsic quantum-measurement uncertainties in Gaussian-state tomography with quadrature squeezing.

Řeháček J, Teo YS, Hradil Z, Wallentowitz S - Sci Rep (2015)

Plots of σθ (Blue) and Σθ (Red) as functions of θ.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4508669&req=5

f7: Plots of σθ (Blue) and Σθ (Red) as functions of θ.
Mentions: Figure 7 shows that homodyne detection seems to give smaller errors for nearly circular states, while for states of highly elongated Wigner functions, uncertainty suppression is observed with heterodyne detection for almost all angles. Naturally, if we integrate/cut approximately along the direction of a principal axis, homodyne data is less noisy. However, the interval of angles for which σθ < Σθ shrinks as the Wigner function becomes more elongated. Figure 8 shows the uncertainty regions for the two schemes.The area of the heterodyne uncertainty ellipse is given by

Bottom Line: We reveal that quadrature squeezing can result in significantly better quantum-estimation performance with quantum heterodyne detection (of H.Yuen and J.In this sense, quadrature squeezing can be used to overcome intrinsic quantum-measurement uncertainties in heterodyne detection.

View Article: PubMed Central - PubMed

Affiliation: Department of Optics, Palacký University, 17. listopadu 12, 77146 Olomouc, Czech Republic.

ABSTRACT
We reveal that quadrature squeezing can result in significantly better quantum-estimation performance with quantum heterodyne detection (of H. P. Yuen and J. H. Shapiro) as compared to quantum homodyne detection for Gaussian states, which touches an important aspect in the foundational understanding of these two schemes. Taking single-mode Gaussian states as examples, we show analytically that the competition between the errors incurred during tomogram processing in homodyne detection and the Arthurs-Kelly uncertainties arising from simultaneous incompatible quadrature measurements in heterodyne detection can often lead to the latter giving more accurate estimates. This observation is also partly a manifestation of a fundamental relationship between the respective data uncertainties for the two schemes. In this sense, quadrature squeezing can be used to overcome intrinsic quantum-measurement uncertainties in heterodyne detection.

No MeSH data available.