Geometrical optimization of spin clusters for the preservation of quantum coherence

Abstract

We investigate the influence of geometry on the preservation of quantum coherence in spin clusters subjected to a thermal environment. Assuming weak inter-spin coupling, we explore the various buffer network configurations that can be embedded in a plane. Our findings reveal that the connectivity of the buffer network is crucial in determining the preservation duration of quantum coherence in an individual central spin. Specifically, we observe that the maximal planar graph yields the longest preservation time for a given number of buffer spins. Interestingly, our results demonstrate that the preservation time does not consistently increase with an increasing number of buffer spins. Employing a quantum master equation in our simulations, we further demonstrate that a tetrahedral geometry comprising a four-spin buffer network provides optimal protection against environmental effects.

References in corpus (3)

• Quantum Decoherence
• Minimally dissipative information erasure in a quantum dot via thermodynamic length
• Cooperative quantum information erasure

Cited by in corpus (7)

• Quantum Models of Consciousness from a Quantum Information Science Perspective
• The Limits of Quantum Information Scrambling
• Molecular Nanomagnet ${\text{Cu}}^{\text{II}}{\text{Ni}}^{\text{II}}{\text{Cu}}^{\text{II}}$ as Resource for Bipartite and Tripartite Quantum Entanglement and Coherence
• Optimizing quantum sensing networks via genetic algorithms and deep learning
• Configuration-dependent precision in magnetometry and thermometry using multi-qubit quantum sensors
• Current circulation near additional energy degeneracy points in quadratic Fermionic networks
• Modified Quantum Wheatstone Bridge based on current circulation