Incoherent quantum algorithm dynamics of an open system with near-term devices
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Incoherent quantum algorithm dynamics of an open system with near-term devices Mahmoud Mahdian1
· H. Davoodi Yeganeh1
Received: 25 December 2019 / Accepted: 5 August 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract Hybrid quantum-classical algorithms are among the most promising systems to implement quantum computing under the Noisy-Intermediate Scale Quantum (NISQ) technology. In this paper, at first, we investigate a quantum dynamics algorithm for the density matrix obeying the von Neumann equation using an efficient Lagrangianbased approach. And then, we consider the dynamics of the ensemble-averaged of disordered quantum systems which is described by Hamiltonian ensemble with a hybrid quantum-classical algorithm. In a recent work (Chen et al. in Phys Rev Lett 120:030403, 2018), the authors concluded that the dynamics of an open system could be simulated by a Hamiltonian ensemble because of nature of the disorder average. We investigate our algorithm to simulating incoherent dynamics (decoherence) of open system using an efficient variational quantum circuit in the form of master equations. Despite the non-unitary evolution of open systems, our method is applicable to a wide range of problems for incoherent dynamics with the unitary quantum operation. Keywords Hybrid quantum-classical algorithms · Disordered systems · Hamiltonian ensemble · Open quantum system · Near-term devices
1 Introduction It is believed that efficiently simulating quantum systems with complex many-body interactions are hard for classical computers due to the exponential growth of variables for characterizing these systems [1]. Quantum computers were proposed to solve such an exponential explosion problem, ranging from optimization to materials design, and the algorithms used in quantum computers have made great strides in the calculation and efficiency of various issues [2–5]. Among the different approaches to quantum
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Mahmoud Mahdian [email protected] Faculty of Physics, Theoretical and Astrophysics Department, University of Tabriz, Tabriz 51665-163, Iran 0123456789().: V,-vol
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M. Mahdian, H. D. Yeganeh
computing, the near-term quantum devices are mostly center around quantum simulations, which consists of a relatively low-depth quantum circuit by hybrid variational quantum-classical algorithms. The hybrid algorithms were recently attracting a lot of attention, designed to utilize both quantum and classical resources to solve specific optimization tasks not accessible to traditional classical computers [6–10]. The main idea of this method is dividing the problem into two parts that each of performing a single task and can be implemented easily on a classical and a quantum computer. The major benefit of this method is that it gives rise to a setup that can have much less strict hardware requirements and is promising for NISQ [11] and devices typically have on the order of fewer qubits (contain from 10 to 103 of qubits) with high gate fidelity and not fault-tolerant er
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