We present quantum optical schemes for the implementation of Grover’s search algorithm and the discrete quantum Fourier transform based on resonant atomic interactions with classical fields and dispersive couplings with quantized cavity fields.
Possible schemes to implement the basic quantum gates for quantum computation have been presented based on cavity quantum electrodynamics (QED) systems. We then discuss schemes to implement several important quantum algorithms such as the discrete quantum fourier transform (QFT) algorithm and Grover's quantum search algorithm based on these quantum gates. Some other applications of cavity QED based systems including the implementations of a quantum disentanglement eraser and an entanglement amplifier are also discussed.
The quantum Fourier transform (QFT);Similarities and differences of coherent optical FFT to the QFT. Grover’s search algorithm implemented with a coherent optical correlator. Quantum algorithms requiring bit entanglement -Shor’s algorithm for large number factorisation. Spatial Light Modulator (SLM) pixels placed in a binary superposition state. Addressed with an “interaction free” measurement. Allows exponential increase in processing power. Quantum search algorithm for a decryption problem based on superposition state of coherent wavefront.