Abstract
We propose a proof-of-principle experiment to encode one logical qubit in noise protected subspace of three identical spins in a methyl group. The symmetry analysis of the wavefunction shows that this fermionic system exhibits a symmetry correlation between the spatial degree of freedom and the spin degree of freedom. We show that one can use this correlation to populate the noiseless subsystem by relying on the interaction between the electric dipole moment of the methyl group with a circularly polarized microwave field. Logical gates are implemented by controlling both the intensity and phase of the applied field.
Highlights
A quantum bit, known as qubit, is a two-level coherent system [1,2]
We investigate an Nuclear magnetic resonance (NMR) implementation of a noiseless logical qubit that is created by using the collective properties of a group of three indistinguishable spins
We investigated the symmetry of the spin degree of freedom and the rotational degree of freedom of methyl groups, respectively, and discussed the symmetry correlation between the two subspaces
Summary
A quantum bit, known as qubit, is a two-level coherent system [1,2]. A qubit can store quantum information for use in quantum computing, quantum communication, sensing, etc. There have been proposals for physical realization of a logical qubit including cold atoms, polarization of a single photon and spins
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
