Abstract
Quantum computation harnesses the power of quantum physics to create new and disruptive capabilities. A high level of quantum readiness to explore the novel application areas of the quantum paradigm is essential for a significant impact. A more resilient foundation of quantum cryptography-based emerging computation starts with investigating the performance analysis of reversible full adder. In this work, reversible equivalents of reversible full adder are designed and simulated by utilising elementary quantum gates like NOT, CNOT, and Toffoli gate. The simulation outcomes are then compared with the real backend results obtained from the IBM quantum experience, and the superior design with maximum percentage outcomes is reported. Both the ideal and noisy conditions are considered for experimental setups. The mitigation results of measurement error are also examined for the designs of reversible adders, and the improvements are summarised.
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References
Saeed, S.M., Wille, R., Karri, R.: Locking the design of building blocks for quantum circuits. ACM Trans. Embed. Comput. Syst. 18(5s), 60:1–60:15 (2019). https://doi.org/10.1145/3358184
Ding. Y., Wu. X.C., Holmes. A., et al.: SQUARE: strategic quantum ancilla reuse for modular quantum programs via cost-effective uncomputation. In: 2020 ACM/IEEE 47th Annual International Symposium on Computer Architecture (ISCA), pp. 570–583 (2020). https://doi.org/10.1109/ISCA45697.2020.00054
Li, G., Ding, Y., Xie, Y.:Tackling the qubit mapping problem for NISQ-era quantum devices. In: Proceedings of the Twenty-Fourth International Conference on Architectural Support for Programming Languages and Operating Systems, pp. 1001–1014 (2019). https://doi.org/10.1145/3297858.3304023
DiVincenzo, D.P.: The physical implementation of quantum computation. Fortschritte der Phys Phys. 48(9–11), 771–783 (2000). https://doi.org/10.1002/1521-3978(200009)48:9/11%3c771::AID-PROP771%3e3.0.CO;2-E
Schomerus, H., Quantum information processing—Lecture Notes
Shaik, E.H., Rangaswamy, N.: Implementation of quantum gates based logic circuits using IBM qiskit. In: Proceedings of the 2020 International Conference on Computing, Communication and Security, ICCCS 2020, pp. 1–6 (2020). https://doi.org/10.1109/ICCCS49678.2020.9277010
Abhijith, J., Adedoyin, A., Ambrosiano, J., et al.: Quantum algorithm implementations for beginners
Mukherjee, C., Panda, S., Mukhopadhyay, A.K., Maji, B.: Utilization of LTEx feynman gate in designing the QCA based reversible binary to gray and gray to binary code converters. Micro Nanosyst. 12(3) (2020). https://doi.org/10.2174/1876402912666200127162526
IBM Q team. Qiskit Python SDK
Sjöqvist, E.: A new phase in quantum computation. Physics (College Park Md). 1 (2008). https://doi.org/10.1103/physics.1.35
Nielson, M.A., Chuaang, I.L.: Quantum computation and quantum information. Cambridge University Press, First (2020)
Zulehner, A., Wille, R.: Simulation and design of quantum circuits. In: Reversible Computation: Extending Horizons of Computing. RC 2020, pp. 60–82. Springer International Publishing (2020). https://doi.org/10.1007/978-3-030-47361-7
Ekert, A., Hayden, P.M., Inamori, H.: In: Kaiser, R., Westbrook, C., David, F. Coherent Atomic Matter Waves (2007). https://doi.org/10.1007/3-540-45338-5_10
Orts, F., Ortega, G., Combarro, E.F., Garzón, E.M.: A review on reversible quantum adders. J. Netw. Comput. Appl. 170 (2020). https://doi.org/10.1016/j.jnca.2020.102810
Abdessaied, N., Drechsler, R.: Reversible and quantum circuits. Springer International Publishing (2016)
Abellán, D., Valdivia, A., Barrio, A.A.D., Botella, G., Carrascal, G.: Simulating and executing circuits employing the quantum computing paradigm. In: 2019 Society for Modeling and Simulation International (SCS) (2019)
Koch, D., Patel, S., Wessing, L., Alsing, P.M.: Fundamentals in quantum algorithms: a tutorial series using qiskit continued. arXiv Quantum Phys. Published online 2020:1–170. http://arxiv.org/abs/2008.10647
Ravivarma, G., Gavaskar, K., Kavitha, N.S.: Design and simulation of quantum adder using IBM quantum experience. Int J Sci Technol Res. 9(3), 1629–1632 (2020)
Li, H., Fan, H., Liang, J.: Quantum most-significant digit-first addition. In: IEEE International Green and Sustainable Computing Conference, pp. 1–8 (2021)
Jones, A.H., Khan, Z.: Reducing error in quantum computing with improved circuit design methods. J. Res. Prog. 4, 49–62 (2021)
Giraldo-Quintero, A., Sierra-Sosa, D., Lalinde-Pulido, J.G.: Qiskit n-Bitstring quantum half-adder and half-subtractor. In: 2020 IEEE international symposium on signal processing and information technology (ISSPIT) (2021). https://doi.org/10.1109/ISSPIT51521.2020.9408852
Briegel, H.J., Browne, D.E., Dür, W., Raussendorf, R., Van Den Nest, M.: Measurement-based quantum computation. Nat. Phys. 5(1), 19–36 (2009). https://doi.org/10.1038/nphys1157
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Kundu, J. et al. (2023). Performance Analysis of Reversible Full Adders in Noisy Intermediate Scale Quantum (NISQ) Devices. In: Bhattacharyya, S., Banerjee, J.S., Köppen, M. (eds) Human-Centric Smart Computing. Smart Innovation, Systems and Technologies, vol 316. Springer, Singapore. https://doi.org/10.1007/978-981-19-5403-0_6
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DOI: https://doi.org/10.1007/978-981-19-5403-0_6
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