How can we minimize errors in a linear-optics quantum gate?

Tomohisa Nagata; Ryo Okamoto; Masato Tanida; Holger Hofmann; Shigeki Takeuchi

doi:10.1117/12.868214

30 August 2010 How can we minimize errors in a linear-optics quantum gate?

Tomohisa Nagata, Ryo Okamoto, Masato Tanida, Holger Hofmann, Shigeki Takeuchi

Proceedings Volume 7815, Quantum Communications and Quantum Imaging VIII; 78150E (2010) https://doi.org/10.1117/12.868214
Event: SPIE Optical Engineering + Applications, 2010, San Diego, California, United States

Abstract

Possible error sources in an experimentally realized linear-optics controlled-Z gate[1] are analyzed by considering the deviations of the beam splitting ratios from the ideal values (δR_H,δR_V), the polarization-dependent phase shift (birefringence) of the optical components (δφ) and the mode mismatch of input photons (δξ). It is found that the error rate is linearly dependent on δR_V and δξ , while the dependence on δR_H and δφ is approximately quadratic. As a practical result, the gate is much more sensitive to small errors in R_V than in R_H. Specifically, the reflectivity error for vertical polarization must be less than 0.1% to realize a gate with an error of less than 0.1%, whereas the reflectivity error for horizontal polarization can be up to 1%. It is also shown that the effects of different error sources are not independent of each other (linear error model). Under certain conditions, the deviation from the linear error model exceeds 10% of the total error. The method of analysis used illustrates the basic features of errors in general linear optics quantum gates and circuits, and can easily be adapted to any other device of this type.

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Tomohisa Nagata, Ryo Okamoto, Masato Tanida, Holger Hofmann, and Shigeki Takeuchi "How can we minimize errors in a linear-optics quantum gate?", Proc. SPIE 7815, Quantum Communications and Quantum Imaging VIII, 78150E (30 August 2010); https://doi.org/10.1117/12.868214

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KEYWORDS

Error analysis

Polarization

Reflectivity

Beam splitters

Birefringence

Current controlled current source

Optical components

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