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19 April 2024
 
  » arxiv » 1812.3703

 Article overview


Impossibility of blind quantum sampling for classical client
Tomoyuki Morimae ; Harumichi Nishimura ; Yuki Takeuchi ; Seiichiro Tani ;
Date 10 Dec 2018
AbstractBlind quantum computing enables a client, who can only generate or measure single-qubit states, to delegate quantum computing to a remote quantum server in such a way that the input, output, and program are hidden from the server. It is an open problem whether a completely classical client can delegate quantum computing blindly. In this paper, we show that if a completely classical client can blindly delegate sampling of subuniversal models, such as the DQC1 model and the IQP model, then the polynomial-time hierarchy collapses to the third level. Our delegation protocol is the one where the client first sends a polynomial-length bit string to the server and then the server returns a single bit to the client. Generalizing the no-go result to more general setups is an open problem.
Source arXiv, 1812.3703
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