Quantum Multiplexer Simplification for Quantum Software Compilation

Authors

DOI:

https://doi.org/10.5753/reic.2025.6055

Keywords:

Quantum Computing, Quantum Compiling, Separable States, Multiplexer Optimization

Abstract

Quantum state initialization is one of the main routines in the quantum software compilation process. However, the cost of this step can compromise the overall computing efficiency. This work proposes an optimization method for the initialization of states that can be factored into smaller states. This purpose is achieved by removing unnecessary operators and controls for quantum multiplexers. The proposed approach is competitive with other techniques in the literature in terms of the total number of CNOTs. Furthermore, the classical processing time of the method proposed here is significantly lower than that of other works that optimize this type of initialization.

Downloads

Download data is not yet available.

References

Araujo, I. F., Blank, C., Araújo, I. C. S., and da Silva, A. J. (2024). Low-rank quantum state preparation. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 43(1):161–170. DOI: 10.1109/tcad.2023.3297972.

Araujo, I. F., Park, D. K., Petruccione, F., and da Silva, A. J. (2021). A divide-and-conquer algorithm for quantum state preparation. Scientific Reports, 11(1):6329. DOI: 10.1038/s41598-021-85474-1.

Bergholm, V., Vartiainen, J. J., Möttönen, M., and Salomaa, M. M. (2005). Quantum circuits with uniformly controlled one-qubit gates. Phys. Rev. A, 71:052330. DOI: 10.1103/PhysRevA.71.052330.

Grover, L. K. (1996). A fast quantum mechanical algorithm for database search. DOI: 10.48550/arXiv.quant-ph/9605043.

Hughes, R. J., James, D. F. V., Knill, E. H., Laflamme, R., and Petschek, A. G. (1996). Decoherence bounds on quantum computation with trapped ions. Phys. Rev. Lett., 77:3240–3243. DOI: 10.1103/PhysRevLett.77.3240.

Kim, Y., Eddins, A., Anand, S., Wei, K., Berg, E., Rosenblatt, S., Nayfeh, H., Wu, Y., Zaletel, M., Temme, K., and Kandala, A. (2023). Evidence for the utility of quantum computing before fault tolerance. Nature, 618:500–505. DOI: 10.1038/s41586-023-06096-3.

Mottonen, M., Vartiainen, J. J., Bergholm, V., and Salomaa, M. M. (2004). Transformation of quantum states using uniformly controlled rotations. DOI: 10.48550/arXiv.quant-ph/0407010.

Nakaji, K., Uno, S., Suzuki, Y., Raymond, R., Onodera, T., Tanaka, T., Tezuka, H., Mitsuda, N., and Yamamoto, N. (2022). Approximate amplitude encoding in shallow parameterized quantum circuits and its application to financial market indicators. Physical Review Research, 4(2):023136. DOI: 10.1103/PhysRevResearch.4.023136.

Park, D. K., Petruccione, F., and Rhee, J.-K. K. (2019). Circuit-based quantum random access memory for classical data. Scientific Reports, 9(1). DOI: 10.1038/s41598-019-40439-3.

Plesch, M. and Brukner, i. c. v. (2011). Quantum-state preparation with universal gate decompositions. Phys. Rev. A, 83:032302. DOI: 10.1103/PhysRevA.83.032302.

Preskill, J. (2018). Quantum computing in the NISQ era and beyond. Quantum, 2:79. DOI: 10.22331/q-2018-08-06-79.

Shende, V., Bullock, S., and Markov, I. (2006). Synthesis of quantum-logic circuits. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 25(6):1000–1010. DOI: 10.1109/tcad.2005.855930.

Shor, P. W. (1997). Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM Journal on Computing, 26(5):1484–1509. DOI: 10.1137/s0097539795293172.

Wootters, W. K., Wootters, W. K., and Zurek, W. H. (1982). A single quantum cannot be cloned. Nature, 299:802–803. DOI: 10.1038/299802a0.

Wu, Y. et al. (2021). Strong quantum computational advantage using a superconducting quantum processor. Phys. Rev. Lett., 127:180501. DOI: 10.1103/PhysRevLett.127.180501.

Published

2025-07-11

How to Cite

Carvalho, J. A. de, & Silva, A. J. da. (2025). Quantum Multiplexer Simplification for Quantum Software Compilation. Electronic Journal of Undergraduate Research on Computing, 23(1), 124–129. https://doi.org/10.5753/reic.2025.6055

Issue

Section

Full Papers