Symmetry, Groups, and Representations in Physics

Vvedensky, Dimitri D.; Evans, Timothy S.

doi:10.1142/p632

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B Protected State Via the Electromagnetic Field Interaction1

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2017

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“…According to the group theory, one can find the symmetry of any spatial function by applying the symmetry projection operators to it [32]. In particular, in case of C 3 group, we applyP A ,P E + andP E − on (X + iY ) and obtain…”

Section: B Protected State Via the Electromagnetic Field Interactionmentioning

confidence: 99%

Implementing a noise protected logical qubit in methyl groups via microwave irradiation

Annabestani

Cory

2017

Quantum Inf Process

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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.

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Section: B Protected State Via the Electromagnetic Field Interactionmentioning

confidence: 99%