Quantum Simulation of Dissipative Energy Transfer via Noisy Quantum Computer

• URL: http://arxiv.org/abs/2312.01401v2
• Date: Mon, 11 Dec 2023 21:53:48 GMT
• Title: Quantum Simulation of Dissipative Energy Transfer via Noisy Quantum Computer
• Authors: Chin-Yi Lin, Li-Chai Shih, Shin Sun, Yuan-Chung Cheng
• Abstract summary: We propose a practical approach to simulate the dynamics of an open quantum system on a noisy computer. Our method leverages gate noises on the IBM-Q real device, enabling us to perform calculations using only two qubits. In the last, to deal with the increasing depth of quantum circuits when doing Trotter expansion, we introduced the transfer tensor method(TTM) to extend our short-term dynamics simulation.
• Score: 0.40964539027092917
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In recent years, due to its formidable potential in computational theory, quantum computing has become a very popular research topic. However, the implementation of practical quantum algorithms, which hold the potential to solve real-world problems, is often hindered by the significant error rates associated with quantum gates and the limited availability of qubits. In this study, we propose a practical approach to simulate the dynamics of an open quantum system on a noisy computer, which encompasses general and valuable characteristics. Notably, our method leverages gate noises on the IBM-Q real device, enabling us to perform calculations using only two qubits. The results generated by our method performed on IBM-Q Jakarta aligned with the those calculated by hierarchical equations of motion (HEOM), which is a classical numerically-exact method, while our simulation method runs with a much better computing complexity. In the last, to deal with the increasing depth of quantum circuits when doing Trotter expansion, we introduced the transfer tensor method(TTM) to extend our short-term dynamics simulation. Based on quantum simulator, we show the extending ability of TTM, which allows us to get a longer simulation using a relatively short quantum circuits.

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