Abstract
It is shown that every function computable in time T(n) and space S(n) on a classical one-dimensional cellular automaton can be computed with certainty in time O(T1/2S) and space \(n\sqrt T \) on a quantum computer with relative diffusion transforms (RDTs) on parts of intermediate products of classical computation. However, in the general case, RDTs cannot be implemented by the conventional quantum computer even with oracles for intermediate results. Such a function can be computed only in time O(S4S/2T/T1) on the conventional quantum computer with oracles for the intermediate results of classical computations with time T1.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Journal of Experimental and Theoretical Physics Letters
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.