The classical Metropolis sampling method is a cornerstone of many statistical modeling applications that range from physics, chemistry, and biology to economics. This method is particularly suitable for sampling the thermal distributions of classical systems. The challenge of extending this method to the simulation of arbitrary quantum systems is that, in general, eigenstates of quantum Hamilto...

Quantum image recognition is a technology by using quantum algorithm to process the image information. It can obtain better effect than classical algorithm. In this paper, four different quantum algorithms are used in the three stages of palmprint recognition. First, quantum adaptive median filtering algorithm is presented in palmprint filtering processing. Quantum filtering algorithm can get a...

For two unknown mixed quantum states $\rho$ and $\sigma$ in an $N$-dimensional Hilbert space, computing their fidelity $F(\rho,\sigma)$ is a basic problem with many important applications information, for example verification characterization of the outputs computer, design analysis algorithms. In this paper, we propose algorithm that solves $\operatorname{poly}(\log (N), r, 1/\varepsilon)$ tim...

As quantum computers become available to the general public, need has arisen train a cohort of programmers, many whom have been developing classical computer programs for most their careers. While currently less than 100 qubits, computing hardware is widely expected grow in terms qubit count, quality, and connectivity. This review aims at explaining principles programming, which are quite diffe...