Abstract
Energy consumption is one of the prime concerns in the computational process of large servers, which must be ultra-fast while minimizing heat generation. Beyond the Boltzmann limit, photons can play a vital role in reducing the heat energy and enabling the system to work swiftly. Also, logically reversible computation has the potential to save energy by avoiding bit erasures and associated heat, while dealing with static leakage and dynamic signal energy loss related to the switching mechanism. The optoelectronic approach for configuring a reversible logic has evolved as an emerging technology of computation, where an electro-optic Mach–Zehnder interferometer (EO-MZI)-based design is preferred due to its easy integrability with silicon chips. This paper explores a new approach for designing a reversible full adder (RFA) using EO-MZI carried out with the beam propagation method in the OptiBPM tool. Validation of the optical simulation of the RFA is done through mathematical power modelling performed in MATLAB. Furthermore, the performance is analysed in terms of insertion and excess loss, where titanium (Ti) thickness, electrode voltage and wavelength are varied from their optimal values at the system level.
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References
Nielsen, M., Chuang, I.: Quantum Computation and Quantum Information: 10th Anniversary Edition. Cambridge University Press (2010)
Krumm, M., Muller, M.: Quantum computation is the unique reversible circuit model for which bits are balls. Nat. Photonics J. Inf. 7(5), 1–7 (2019)
Kok, P., Munro, W., Nemoto, K., Ralph, T., Dowling, J., Milburn, G.: Review article: linear optical quantum computing. ar**v preprint quant-ph/0512071 p. 29 (2005)
O’brien, J.: Optical quantum computing. Science 318(5856), 1567–1570 (2007)
Nakata, Y., Murao, M.: Diagonal quantum circuits: their computational power and applications. Eur. Phys. J. Plus 152(129) (2014)
Matthews, D.: How to get started in quantum computing. Nature 519, 166–167 (2021)
Bennett, C.H.: Logical reversibility of computation. IBM J. Res. Dev. 17(6), 525–532 (1973)
Cuykendall, R., Anderson, D.: Reversible optical computing circuits. Opt. Lett. 12(7), 542–544 (1987)
Williams, C.: Exploration of Quantum Computing. Springer, Berlin (2011)
Fredkin, E., Toffoli, T.: Conservative logic. Int. J. Theor. Phys. 21, 219–253 (1982)
Peres, A.: Reversible logic and quantum computers. Phys. Rev. A 32, 3266–3276 (1985)
Toffoli, T.: Reversible computing. In: de Bakker, J., van Leeuwen, J. (eds) Automata, Languages and Programming. Lecture Notes in Computer Science, vol. 85, pp. 632–644 (1980)
Singh, P., Tripathi, D.K., Jaiswal, S., Dixit, H.: All-optical logic gates: designs, classification, and comparison. Advances in Optical Technologies (2014)
Awasthi, S., Biswas, A., Metya, S.K., Majumder, A.: Optical configuration of modified Fredkin gate using lithium-niobate-based Mach–Zehnder interferometer. Appl. Opt. 59(23), 7083–7091 (2020)
Kaminov, I., Johnston, W.J.: Quantitative determination of sources of the electro-optic effect in LiNbO\(_3\) and LiTaO\(_3\). Phys. Rev. 160(3), 519–522 (1967)
Awasthi, S., Chowdhury, B., Haider, Z., Ali, J., Yupapin, P., Metya, S.K., Majumder, A.: Exploring a reversible nor from 4\(\times\)4 modified Fredkin gate and its optical map** using LiNbO\(_3\)-based MZI. J. Comput. Electron. Springer (2022)
Diffusion in Lithium Niobate, OptiBPM Tech Background and Turorials
Schmidt, R., Kaminov, I.: Metal-diffused optical waveguides in LiNbO\(_3\). Appl. Phys. Lett. 25, 458–460 (1974)
Qi, Y., Li, Y.: Integrated lithium niobate photonics. Nanophotonics, De Gruyter 9(6), 1287–1320 (2020)
Chauhan, C., Kaushik, B. K., Kumar, S.: Design of optical reversible hybrid adder–subtractor device using Mach–Zehnder interferometers for WDM applications. J. Opt. Commun. (2019)
Kumar, S.: Reversible full-adder using lithium-niobate based peres gate. In: 13th International Conference on Fiber Optics and Photonics. Optical Society of America, p. Tu5F.2 (2016)
Kumar, S., Singh, G., Amphawan, A.: Reversible ripple carry adder using the electro-optic effect of lithium-niobate based Mach–Zehnder interferometer. In: 2015 Workshop on Recent Advances in Photonics (WRAP), pp. 1–4 (2015)
Kumar, A., Raghuwanshi, S.: Electro-optic Mach–Zehnder interferometer based optical digital magnitude comparator and 1’s complement calculator. J. Opt. Commun. 37(2), 137–153 (2016)
Awasthi, S., Sharma, S., Metya, S.K., Majumder, A.: Electrooptic reversible toffoli gate with optimal count of LiNbO\(_3\) Mach–Zehnder interferometers. In: 2020 IEEE Nordic Circuits and Systems Conference (NorCAS), pp. 1–7 (2020)
Singh, G., Yadav, R., Janyani, V.: Ti indiffused Lithium Niobate (Ti:LiNbO\(_3\)) Mach–Zehnder interferometer all optical switches: a review. New Advanced Technologies, IntechOpen (2010)
Singh, G., Bothra, S., Janyani, V., Yadav, R.P.: Process optimization to design Ti-indiffused lithium niobate channel waveguide for MZI switching element. Micro-Technology, Prague, C.R, Proc. SPIE 8069, Integrated Photonics: Materials, Devices and Applications, 80690W (2011)
Singh, G., Janyani, V., Yadav, R.P.: Modeling of a high performance Mach–Zehnder interferometer all optical switch. Opt. Appl. 42(3), 613–625 (2012)
Awasthi, S., Chowdhury, B., Haider, Z., Ali, J., Yupapin, P., Metya, S.K., Majumder, A.: Optical configuration of an N:2\(^N\) reversible decoder using a LiNbO\(_3\)-based Mach–Zehnder interferometer. Appl. Opt. 60(16), 4544–4556 (2021)
Keiser, G.: Optical Fiber Communications, 4th edn. TMH (2008)
Khare, R.: Fiber Optics and Optoelectronics. Oxford Press, Oxford (2013)
Gu, Z., Inoue, D., Amemiya, T., Nishiyama, N., Arai, S.: 20 gbps operation of membrane-based GaInAs/InP waveguide-type p-i-n photodiode bonded on Si substrate. Appl. Phys. Express 11(2), 022102 (2018)
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The work is carried out under Visvesvaraya PhD Fellowship funded by Ministry of Electronics and Information Technology (MeitY), Government of India.
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Shashank Awasthi and Barnali Chowdhury: Conceptualization, device design, simulation and analysis, manuscript preparation. Detailed analysis of design was also enhanced by Vijay Janyani. Alak Majumder and Sanjeev Kumar Metya: Manuscript finalization and supervision.
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Awasthi, S., Chowdhury, B., Janyani, V. et al. Configuring a reversible full adder using the Pockels electro-optic effect of a Ti:LiNbO\(_3\)-based MZI. J Comput Electron 22, 485–496 (2023). https://doi.org/10.1007/s10825-022-01991-w
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DOI: https://doi.org/10.1007/s10825-022-01991-w