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Physica Scripta

Quantum information for graphene wormholes

A. R. P. Moreira, Abdelmalek Bouzenada, Faizuddin Ahmed

Published Nov 14, 2024• 24 citations
Publisher

Abstract

Abstract This paper explores the interplay between quantum information theory and the stabilization of graphene wormholes using external magnetic fields. Utilizing Shannon entropy, we analyze how quantum information can be applied to control and stabilize these structures. By studying graphene’s quantum states under different magnetic field strengths and configurations, we gain insights into the entanglement and coherence properties governing their behavior. The findings demonstrate the potential of quantum information metrics to enhance the stability and control of graphene wormholes, with implications for quantum computing and material science innovations.

DOI
10.1088/1402-4896/ad92be

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Abstract Graphene, with its two-dimensional carbon structure, exhibits unique quantum properties that are crucial for quantum computing. In this paper, we investigate the influence of an external electromagnetic field on quantum coherence and entanglement between two qubits in graphene lattices. Our findings show that an electromagnetic field with high field strength (ξ 0 ∼ 50 meV2) and low frequency (ω = 0.117 eV) significantly enhances quantum entanglement and coherence, even at elevated temperatures (T ∼ 20 meV). By adjusting the frequency and the field strength, these quantum effects can be preserved long enough at high temperatures. Furthermore, circular polarization of the electromagnetic field is found to be more effective than linear and elliptical polarizations in optimizing these effects. These results highlight the critical role of electromagnetic fields in enhancing quantum properties, potentially paving the way for advancements in quantum computing and related technologies.
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We investigate the low-lying excitation spectrum and ground-state properties of narrow graphene nanoribbons with zigzag edge configurations. Nanoribbons of comparable widths have been synthesized very recently [P. Ruffieux et al., Nature (London) 531, 489 (2016)], and their descriptions require more sophisticated methods since in this regime conventional methods, like mean-field or density-functional theory with local-density approximation, fail to capture the enhanced quantum fluctuations. Using the unbiased density-matrix renormalization-group algorithm, we calculate the charge gaps with high accuracy for different widths and interaction strengths and compare them with mean-field results. It turns out that the gaps are much smaller in the former case due to the proper treatment of quantum fluctuations. Applying the elements of quantum information theory, we also reveal the entanglement structure inside a ribbon and examine the spectrum of subsystem density matrices to understand the origin of entanglement. We examine the possibility of magnetic ordering and the effect of magnetic field. Our findings are relevant for understanding the gap values in different recent experiments and the deviations between them.