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arXiv · 2005.10840

Complexity of Fermionic Dissipative Interactions and Applications to Quantum Computing

Oles Shtanko·Abhinav Deshpande·Paul S. Julienne·Alexey V. Gorshkov
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Abstract

Interactions between particles are usually a resource for quantum computing, making quantum many-body systems intractable by any known classical algorithm. In contrast, noise is typically considered as being inimical to quantum many-body correlations, ultimately leading the system to a classically tractable state. This work shows that noise represented by two-body processes, such as pair loss, plays the same role as many-body interactions and makes otherwise classically simulable systems universal for quantum computing. We analyze such processes in detail and establish a complexity transition between simulable and nonsimulable systems as a function of a tuning parameter. We determine important classes of simulable and nonsimulable two-body dissipation. Finally, we show how using resonant dissipation in cold atoms can enhance the performance of two-qubit gates.

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Oles Shtanko, Abhinav Deshpande, Paul S. Julienne, Alexey V. Gorshkov. 2020-05-21. Complexity of Fermionic Dissipative Interactions and Applications to Quantum Computing. https://doi.org/10.1103/prxquantum.2.030350

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