Journal
QUANTUM INFORMATION PROCESSING
Volume 16, Issue 6, Pages -Publisher
SPRINGER
DOI: 10.1007/s11128-017-1603-1
Keywords
Quantum Fourier transform; Quantum adder; Quantum multiplier
Funding
- FPI fellowship programme of the Spanish Ministry of Economy, Industry and Competitiveness [BES-2015-074514]
- MINECO/FEDER, UE [TEC2015-69665-R]
- Junta de Castilla y Leon Project [VA089U16]
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The quantum Fourier transform offers an interesting way to perform arithmetic operations on a quantum computer. We review existing quantum Fourier transform adders and multipliers and comment some simple variations that extend their capabilities. These modified circuits can perform modular and non-modular arithmetic operations and work with signed integers. Among the operations, we discuss a quantum method to compute the weighted average of a series of inputs in the transform domain. One of the circuits, the controlled weighted sum, can be interpreted as a circuit to compute the inner product of two data vectors.
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