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Quantum Information Processing

The advantages of quantum dissonance under the environment effect

Fatima-Zahra Siyouri, Hicham Amellal, Y. Hassouni

Published Jun 1, 2022• 2 citations
Publisher
DOI
10.1007/s11128-022-03554-1

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We examine non-classical correlations in separable systems through quantum dissonance and one-way quantum deficit. Our study focuses on the generation and dynamics of these correlations in hydrogen atoms influenced by dephasing and dissipative decoherence. We treat the electron–proton spin coupling in the hyperfine structure as a two-qubit quantum system, showing that quantum dissonance and a one-way deficit can emerge from initially classical configurations via this interaction. We further analyze the time evolution of the quantum dissonance and the one-way quantum deficit under dephasing and dissipative quantum dynamics. The results indicate that both measures exhibit a relatively slow decay under decoherence, highlighting their robustness against environmental effects. These insights highlight the promise of hydrogen atoms for robust quantum information protocols in noisy environments.
Quantum channel identification, a standard problem in quantum metrology, is the task of estimating parameter(s) of a quantum channel. We investigate dissonance (quantum discord in the absence of entanglement) as an aid to quantum channel identification and find evidence for dissonance as a resource for quantum information processing. We consider the specific case of dissonant Bell-diagonal probes of the qubit depolarizing channel, using quantum Fisher information as a measure of statistical information extracted by the probe. In this setting dissonant quantum probes yield more statistical information about the depolarizing probability than do corresponding probes without dissonance and greater dissonance yields greater information. This effect only operates consistently when we control for classical correlation between the probe and its ancilla and the joint and marginal purities of the ancilla and probe.