%0 Journal Article %J PRX Quantum %D 2021 %T Complexity of Fermionic Dissipative Interactions and Applications to Quantum Computing %A Shtanko, Oles %A Deshpande, Abhinav %A Julienne, Paul S. %A Alexey V. Gorshkov %X

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. 

%B PRX Quantum %V 2 %8 9/17/2021 %G eng %U http://dx.doi.org/10.1103/PRXQuantum.2.030350 %R 10.1103/prxquantum.2.030350