Coherent Quantum Fourier Transform Using 3-Qubit Conditional Gates and Ultrasensitive Magnetometry with RF-Driven Trapped Ions.

2017 ◽  
Author(s):  
I. Baumgart ◽  
J.-M. Cai ◽  
S. S. Ivanov ◽  
Ch. Piltz ◽  
M. B. Plenio ◽  
...  
Keyword(s):  
Fourier Transform ◽  
Trapped Ions ◽  
Quantum Fourier Transform ◽  
Coherent Quantum

Estimation of the heating rate of ions due to laser fluctuations when implementing quantum algorithms

2007 ◽  
Vol 7 (7) ◽  
pp. 573-583
Author(s):  
S. Fujiwara ◽  
S. Hasegawa
Keyword(s):  
Fourier Transform ◽  
White Noise ◽  
Heating Rate ◽  
Laser Intensity ◽  
Quantum Algorithms ◽  
Trapped Ions ◽  
Quantum Fourier Transform ◽  
Phase Fluctuations ◽  
Order Of Magnitude ◽  
Magnitude Difference

We analyze numerically the heating of trapped ions due to laser intensity and phase fluctuations when implementing Grover's algorithm and the Quantum Fourier Transform. For a simpler analysis we assume that the stochastic processes are white noise processes and average over each noise as in [Phys. Rev. A. \textbf{57}, 3748, (1998)]. We investigate the fidelity and the heating rate for these algorithms using parameters estimated from experiments, and we can see the order of magnitude difference in the heating rate depending on the quantum algorithms.

Optical simulator of the quantum Fourier transform

2016 ◽  
Vol 114 (2) ◽  
pp. 20004 ◽  
Author(s):  
Y. S. Nam ◽  
R. Blümel
Keyword(s):  
Fourier Transform ◽  
Quantum Fourier Transform

A watermark strategy for quantum images based on quantum fourier transform

2012 ◽  
Vol 12 (2) ◽  
pp. 793-803 ◽  
Author(s):  
Wei-Wei Zhang ◽  
Fei Gao ◽  
Bin Liu ◽  
Qiao-Yan Wen ◽  
Hui Chen
Keyword(s):  
Fourier Transform ◽  
Quantum Fourier Transform ◽  
Quantum Images

scholarly journals Implementation of the quantum Fourier transform on a hybrid qubit–qutrit NMR quantum emulator

2015 ◽  
Vol 13 (07) ◽  
pp. 1550059 ◽  
Author(s):  
Shruti Dogra ◽  
Arvind Dorai ◽  
Kavita Dorai
Keyword(s):  
Fourier Transform ◽  
Quantum Algorithms ◽  
Quantum Computers ◽  
Quantum Fourier Transform ◽  
Specific Implementation ◽  
Circuit Decomposition

The quantum Fourier transform (QFT) is a key ingredient of several quantum algorithms and a qudit-specific implementation of the QFT is hence an important step toward the realization of qudit-based quantum computers. This work develops a circuit decomposition of the QFT for hybrid qudits based on generalized Hadamard and generalized controlled-phase gates, which can be implemented using selective rotations in NMR. We experimentally implement the hybrid qudit QFT on an NMR quantum emulator, which uses four qubits to emulate a single qutrit coupled to two qubits.

Quantum Teleportation of Multiple Qubits Based on Quantum Fourier Transform

2018 ◽  
Vol 22 (12) ◽  
pp. 2427-2430 ◽  
Author(s):  
Dan Song ◽  
Chen He ◽  
Zhengwen Cao ◽  
Geng Chai
Keyword(s):  
Fourier Transform ◽  
Quantum Teleportation ◽  
Quantum Fourier Transform

scholarly journals The quantum Fourier transform based on quantum vision representation

2018 ◽  
Vol 17 (12) ◽  
Author(s):  
Hai-Sheng Li ◽  
Ping Fan ◽  
Hai-ying Xia ◽  
Shuxiang Song ◽  
Xiangjian He
Keyword(s):  
Fourier Transform ◽  
Quantum Fourier Transform
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