Hybrid scheme for factorisation: Factoring 551 using a 3-qubit NMR quantum adiabatic processor
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Quantum processors are potentially superior to their classical counterparts for many computational tasks including factorisation. Circuit methods as well as adiabatic methods have already been proposed and implemented for finding the factors of a given composite number. The main challenge in scaling it to larger numbers is the unavailability of large number of qubits. Here, we propose a hybrid scheme that involves both classical and quantum computation, based on the previous work of Peng et al, Phys. Rev. Lett. 101(22), 220405 (2008), which reduces the number of qubits required for factorisation. The classical part involves setting up and partially simplifying a set of bit-wise factoring equations and the quantum part involves solving these coupled equations using a quantum adiabatic process. We demonstrate the hybrid scheme by factoring 551 using a 3-qubit NMR quantum register.
KeywordsQuantum computation quantum cryptography quantum communication NMR implementation of quantum computation
PACS Nos03.67.Ac 03.67.Dd 03.67.Lx
The authors acknowledge the useful discussions with Sudheer Kumar and Abhishek Shukla. SP and SM acknowledge the hospitality from Indian Institute of Science where this work was initiated. SM would like to thank Indian Academy of Sciences for the support during this period. This work was supported by the Department of Science and Technology, India (Grant Number DST / SJF / PSA-03 / 2012-13) and Council of Scientific and Industrial Research, India (Grant Number CSIR-03(1345) / 16 / EMR-II).
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