Efficient simulation of open quantum system in duality quantum computing

Shi-Jie Wei; Gui-Lu Long

doi:10.1117/12.2245869

3 November 2016 Efficient simulation of open quantum system in duality quantum computing

Shi-Jie Wei, Gui-Lu Long

Proceedings Volume 10029, Quantum and Nonlinear Optics IV; 1002915 (2016) https://doi.org/10.1117/12.2245869
Event: SPIE/COS Photonics Asia, 2016, Beijing, China

Abstract

Practical quantum systems are open systems due to interactions with their environment. Understanding the evolution of open systems dynamics is important for quantum noise processes , designing quantum error correcting codes, and performing simulations of open quantum systems. Here we proposed an efficient quantum algorithm for simulating the evolution of an open quantum system on a duality quantum computer. In contrast to unitary evolution in a usual quantum computer, the evolution operator in a duality quantum computer is a linear combination of unitary operators. In this duality algorithm, the time evolution of open quantum system is realized by using Kraus operators which is naturally realized in duality quantum computing. Compared to the Lloyd's quantum algorithm [Science.273, 1073(1996)] , the dependence on the dimension of the open quantum system in our algorithm is decreased. Moreover, our algorithm uses a truncated Taylor series of the evolution operators, exponentially improving the performance on the precision compared with existing quantum simulation algorithms with unitary evolution operations.

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Shi-Jie Wei and Gui-Lu Long "Efficient simulation of open quantum system in duality quantum computing", Proc. SPIE 10029, Quantum and Nonlinear Optics IV, 1002915 (3 November 2016); https://doi.org/10.1117/12.2245869

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KEYWORDS

Quantum computing

Computer simulations

Computing systems

Quantum efficiency

Quantum communications

Quantum circuits

Quantum physics

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