FPGA Utilized to Control the Coincidence Logic of Quantum Entangled Pairs (QEP)

Control of quantum signals is very robust design technique and very important in quantum signal processing (QSP). It is not easy in experimentation platforms. Field Programmable Gate Array (FPGA) is using to control very various range of devices in quantum fields through PCs. FPGA needs to run modules of components to communicate and interfacing with the PC, through decode perform commands to direct control of digital hardware’s. If programmer has a real-time control of the FPGA via USB, it can be possible to evaluate design parameters changes in real-time, without reprogramming the FPGA. That makes the proposed design platforms easier for researchers. This paper discusses experiment of control quantum signals by FPGA to control coincidence logic for Quantum Entangled Pair (QEP), that able to measure polarization correlations relationships between photons of the QEP. This FPGA helps to determine detection events at different detectors which can be attributed to a single photon pair. Also to determine the correlation time between two different beams frequencies is extremely accurate according to the delay between the beams, which is very short.

Product Decomposition of Periodic Functions in Quantum Signal Processing

We consider an algorithm to approximate complex-valued periodic functions f(eiθ) as a matrix element of a product of SU(2)-valued functions, which underlies so-called quantum signal processing. We prove that the algorithm runs in time O(N3polylog(N/ϵ)) under the random-access memory model of computation where N is the degree of the polynomial that approximates f with accuracy ϵ; previous efficiency claim assumed a strong arithmetic model of computation and lacked numerical stability analysis.