Modeling of linear optical controlled-z quantum gate with dimensional errors of passive components
https://doi.org/10.17586/2220-8054-2019-10-6-627-631
Abstract
Linear optical quantum computing can be realized using photonic integrate circuits (PICs). It is advantageous in comparison to other physical implementations of quantum computing due to simplicity of qubit encoding using photons and low decoherence times. Passive components like beamsplitters and phaseshifters are key elements for such PICs. In this article, we present modeling of linear optical controlled-Z gate with imperfections of beamsplitters and phaseshifters taken into account. Results showed that errors occur which cannot be detected by projection measurements and post-selection proposed by Knill, Laflamme and Milburn. We studied how these errors and success probability changes with the increase of dimensional errors using Monte-Carlo simulation. The obtained results can be used for design and calibration stages of chip manufacturing.
About the Authors
F. D. KiselevRussian Federation
Kronverkskiy, 49, St. Petersburg, 197101; Corning, NY
E. Y. Samsonov
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101; Corning, NY
A. V. Gleim
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101; Corning, NY
References
1. DiVincenzo D.P. Quantum computation. Science, 1995, 270 5234), P. 255–261.
2. Barenco A., Bennett C.H., et al. Elementary gates for quantum computation. Phys. Rev. A, 1995, 52, P. 3457–3467
3. Grover L.K. A fast quantum mechanical algorithm for database search. Proceedings of Annual ACM symposium on Theory of Computing, Philadelphia, Pennsylvania, USA, ACM, 1996, P. 212–219.
4. Politi A., Matthews C.J., OBrien J. Shor’s Quantum Factoring Algorithm on a Photonic Chip. Science, 2009, 325 (5945), P. 255–261.
5. Devoret M.H., Schoelkopf R.J. Superconducting Circuits for Quantum Information: An Outlook. Science, 2013, 339 (6124), P. 1169–1174.
6. Reck M., Zeilinger A., Bernsteim H.J., Bertani P. Experimental realization of any discrete unitary operator. Phys. Rev. Lett., 1994, 73 (1) P. 58–61.
7. Knill E., Laflamme R., Milburn G.J. A scheme for efficient quantum computation with linear optics. Nature, 2001, 409, P. 46–52.
8. Silverstone J.W., Bonneau D., OBrien J., Thompson M.G., Silicon Quantum Photonics. IEEE Journal of Selected Topics in Quantum Electronics, 2016, 22 (6), P. 390–402.
9. Gerasimenko V., Gerasimenko N., et al. Numerical modeling of ion exchange waveguide for the tasks of quantum computations. Nanosystems: Physics, Chemistry, Mathematics, 2019. 10 (2), P. 147–153.
10. Sun J., Timurdogan E., et al. Large-scale nanophotonic phased array. Nature, 2013, 493, P. 195–199.
11. Miller D.A. Perfect optics with imperfect components. Optica, 2015, 2 (8), P. 747–750.
12. Gubaidullina K.V., Chivilikhin S.A. Stability of Grovers algorithm in respect to perturbations in quantum circuit. Nanosystems: Physics, Chemistry, Mathematics, 2017, 8 (2), P. 243–246.
13. Poot M., Schuck C., et al. Design and characterization of integrated components for SiN photonic quantum circuits. Optics Express, 2016, 24 (7), P. 6843–6860.
Review
For citations:
Kiselev F.D., Samsonov E.Y., Gleim A.V. Modeling of linear optical controlled-z quantum gate with dimensional errors of passive components. Nanosystems: Physics, Chemistry, Mathematics. 2019;10(6):627-631. https://doi.org/10.17586/2220-8054-2019-10-6-627-631