The limitations imposed by constrained energy resources in wireless sensor networks (WSNs) are widely recognized. This article explores the integration of quantum entanglement in linear sensor networks (LSNs) and analyzes its potential for reducing energy consumption. From a probabilistic perspective, we demonstrate that quantum entanglement can lead to a significant reduction in the total energy required for network operation through the use of Markov chains. We present a detailed analysis of the energy consumption in LSNs enhanced with quantum teleportation, comparing it to the classical slotted ALOHA protocol. Our results identify energy savings of up to 30% in LSNs with 10, and with 50 nodes, accounting for packet collision probabilities and energy consumption during sleep mode. This work lays important groundwork for generalizing the study to include not only quantum teleportation but also potentially superdense coding, and to evaluate performance against other, more efficient classical protocols. The main current limitation for employing quantum entanglement in WSNs is the lack of stable quantum computers capable of sustained operation. However, ongoing advances in the field suggest that such implementations may become feasible in the near future.