Work

Shor's algorithm with fewer (pure) qubits

Year: 2006
Type: preprint
Abstract: In this note we consider optimised circuits for implementing Shor's quantum factoring algorithm. First I give a circuit for which none of the about 2n qubits need to be initialised (though we still have to make the usual 2n measurements later on). Then I show how the modular additions in the algorithm can be carried out with a superposition of an arithmetic sequence. This makes parallelisation of Shor's algorithm easier. Finally I show how one can factor with only about 1.5n qubits, and maybe even fewer.
Language: English
Open Access status: green
OpenAlex ID: W1545991018
Cites: 5
Cited by: 46
Related to: 10