Complexity of Fermionic Dissipative Interactions and Applications to Quantum Computing

Published on May 21, 2020in arXiv: Quantum Physics
· DOI :10.1103/PRXQUANTUM.2.030350
Oles Shtanko7
Estimated H-index: 7
(UMD: University of Maryland, College Park),
Abhinav Deshpande7
Estimated H-index: 7
(UMD: University of Maryland, College Park)
+ 1 AuthorsAlexey V. Gorshkov55
Estimated H-index: 55
(UMD: University of Maryland, College Park)
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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