Frozen Quantum Coherence in Qutrit System

Abstract

There exist quantum states for which the specific measure of quantum coherence remain unaffected by noise. In case of single qubit, subjected to Markovian bit-flip and bit+phase-flip noise, the \(l_1\) norm of coherence is found to be frozen for states (\(n_1,0,n_3\)) in Bloch sphere representation. In present work, we searched for qutrit states that would show invariance of coherence in quantum channel by analyzing various cross-sections of the qutrit Bloch sphere. We found several geometric sections in state space that exhibit frozen phenomenon for quantum coherence under different noisy channels.