Integer numeric multiplication using quantum Fourier transform

Pachuau, Joseph L.; Saha, Anish Kumar

doi:10.1007/s40509-021-00262-w

Cited by 3 publications

(1 citation statement)

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“…Quantum circuits for solving integer problems received major interest in the literature [13,[17][18][19]22] whereas, problems that employ floating-point numbers has received less attention in literature [23][24][25]. Many scientific, information and communication technology, fields rely on floating-point division.…”

Section: Related Workmentioning

confidence: 99%

Efficient Floating-point Division Quantum Circuit using Newton-Raphson Division

Gayathri

Kumar

Dhanalakshmi

2022

J. Phys.: Conf. Ser.

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The development of quantum algorithms is facilitated by quantum circuit designs. A floating-point number can represent a wide range of values and is extremely useful in digital signal processing. A quantum circuit model to implement the floating-point division problem using the Newton-Raphson division algorithm is proposed in this paper. The proposed division circuit offers a significant savings in T-gates and qubits used in the circuit design when correlated with the state of art works proposed on fast division algorithms. The qubits savings are estimated around 17% and 20%, T-count savings are around 59.03% and 20.31%. Similarly, T-depth savings is estimated around 77.45% and 24.33% over the existing works.

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