We use differentiable programming and gradient descent to find unitary matrices that can be used in the period finding algorithm to extract period information from the state of a quantum computer post-application of the oracle. The standard procedure is to use the inverse quantum Fourier transform....
We show that on expectation this modification only doubles the required amount of quantum measurements, while significantly reducing the total number of qubits. For example, for Simon's period finding algorithm in some $n$-bit function $f: \mathbb{F}_2^n ightarrow \mathbb{F}_2^n$ our ...
and Simon's algorithm is not error-tolerant. We show that even noisy quantum period finding computations may lead to speedups in comparison to purely classical computations. To this end, we implemented Simon's quantum period finding circuit on the 15 15 -qubit quantum device IBM Q 16 Melbourne...
Another finding is that the lcg * 2 + 1 construct works as PRNG even if the multiplier is a simple increasing counter variable, when the second multiplier is a high-entropy number.#include <stdint.h> class DummyRNG : public PractRand::RNGs::vRNG8 { public: uint64_t Ctr1; DummyRNG(...
The uniaxial random field XY model has been applied to many systems, including layers of Josephson junctions,1superfluid in a uniaxially stressed aerogel,2ultracold atoms in the presence of speckle radiation,3uniaxially stressed 2D Wigner crystals,4,5,6,7and the half-integer quantum Hall effect8....
Have you heard of the Quantum Financial system that is replacing the SWIFT system? It is already being changed over. You may not be aware that the reset of the financial system has been caused by a serious fraud in Hull, England. This involves property deeds dating back centuries. The deed...
Quantum information & computationJ.T. Davies, C.J. Rickerd, M.A. Grimes and D.O. Guney, "An n-bit general implementation of Shor's quantum period-finding algorithm," Quantum Information & Computation, 16(7&8), 700-718 (2016).
Noise-tolerant simon period findingIBM-Q16LPNQuantum advantageLet f:F2n→F2n be a Boolean function with period s. It is well-known that Simon's algorithm finds s in time polynomial in n on quantum devices that are capable of performing error-correction. However, today's quantum devices are...
Quantum phase estimation algorithm is the key for the period-finding problem .Therefore, by means of simulating quantum Fourier transform, we are able to implement the period-finding algorithm. In this paper, the simulation of quantum Fourier transform is carried out by Matlab software.Zohreh Mog...
Period findingquantum algorithmbinary sequencesautocorrelationfinite fieldsWe consider the problem of determining the period of a binary sequence. For sequences with small autocorrelation we prove the existence of a polynomial time quantum algorithm for the above problem based on an algorithm of Hales ...