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Öğe ESTIMATING PI USING HIGH-DIMENSIONAL SINGLE AND MULTI-GLOBAL QUANTUM PHASE ESTIMATION ALGORITHM ON CIRQ(Rinton Press, Inc, 2024) Ceylan, Osman Semi; Gunduz, Sabri; Kaya, Furkan; Yilmaz, IhsanQuantum computing is carried out based on the working principles of quantum mechanics. Current 2-dimensional quantum computing techniques face major problems such as noise and information capacity. As such, high-dimensional quantum computing is leveraged to solve these problems. This study attempts to approximate the pi number through the multi-global and single-global Quantum Phase Estimation (QPE) algorithms in high-dimension. This study reveals that pi can be calculated by using fewer quantum resources in high dimension with at least equal or higher precision than that obtained by 2-dimensional QPE. In addition, when the number of qudits or the number of dimensions is kept constant, the multi-global QPE in high dimensions yields at least equal or better results than the single-global QPE. All calculations performed in this study are implemented on Cirq.Öğe High-dimensional Grover multi-target search algorithm on Cirq(Springer Heidelberg, 2022) Acar, Erdi; Gunduz, Sabri; Akpinar, Guven; Yilmaz, IhsanHigh-dimensional computing, compared to traditional qubit computing, has the advantage of operating in a larger scale and storing more information. Considering its advantages, it is of great importance to adapt existing quantum algorithms to high dimension for quantum computing. Yet, the challenges pertaining to high-dimensional quantum computing have limited the studies in this field. In this study, the Grover Search Algorithm for two, three and four targets in high dimension is implemented on Cirq. We concluded that computing in high dimension provides an advantage in terms of capacity and number of qudits used.Öğe High-dimensional Grover multi-target search algorithm on Cirq (vol 137, 244, 2022)(Springer Heidelberg, 2022) Acar, Erdi; Gunduz, Sabri; Akpinar, Guven; Yilmaz, Ihsan[Anstract Not Available]
