In a new study conducted by scientists from the USA and Taiwan, the existence of a universal lower boundary of topological entanglement entropy (TEE) has been theoretically proven to always be non-negative. The results of the study have been published in the journal Physical Review Letters.
TEE is a measure that provides an understanding of the non-cabinet and confusion in quantum systems with topological properties. It plays a crucial role in studying the behavior of quantum systems, especially regarding quantum calculations. To comprehend TEE is significant.
It is often observed in quantum systems that entanglement entropy follows the area law. TEE offers additional information that characterizes the topological phase of the system. Dr. Bowen Shi, the lead author of the study, mentioned that TEE allows for the determination of the number of types of anions in the substance’s phase.
The researchers aimed to investigate the reliability of extracting universal properties from the wave function of the ground state. They discovered that a new state should extract more TEE than a state without noise. This implies the existence of a universal lower boundary for TEE, which is always non-negative.
Dr. Shi likened this phenomenon to how a glass always becomes clearer when dust is removed from its surface. Similarly, the addition of noise does not decrease TEE but reveals additional non-negative TEE in the system.
The scientists also observed that TEE remains unaffected by quantum circuits of constant depth, making it a valuable tool in understanding the principal topological phase of the ground state.
Dr. Shi highlighted the practical significance of their study, particularly in the context of quantum calculations. The discovery of the universal lower boundary TEE underscores the stability of this measure of entanglement even in the presence of disturbances.
These findings hold promising prospects for future research in the field of studying quantum systems.