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Scientists have discovered a universal lower bound for topological entanglement.
A new study conducted by scientists from the United States and Taiwan has theoretically proved the existence of a universal lower bound for topological entanglement, which is always non-negative. The results of the study are published in the journal Physical Review Letters.
The Topological entanglement entropy (TEE) is a measure that provides insight into non-local phenomena and entanglement in quantum systems with topological properties. Understanding TEE is key to studying the behavior of quantum systems, especially given the role of quantum entanglement in quantum computing.
In quantum systems, it is often observed that entanglement follows the area law. TEE provides additional information that characterizes the topological phase of the system. Dr. Bowen Shi, lead author of the study, said that TEE allows you to find out the number of types of anions in the phase of a substance.
The researchers decided to study the reliability of extracting universal properties from the ground state wave function. They found that the new state should extract a larger TEE value than the no-noise state. This means that there is a universal lower bound for TEE that is always nonnegative.
Dr. Shi compared this to how a glass always gets lighter when we remove dust from its surface. Similarly, adding noise does not reduce the TEE, but reveals an additional, non-negative TEE in the system.
The scientists also noted that TEE is invariant under quantum schemes of constant depth, which makes it a useful tool for understanding the underlying topological phase of the ground state.
Dr. Shi emphasized the practical value of their research, especially in the context of quantum computing. The discovery of the universal TEE lower bound emphasizes the stability of this entanglement measure even in the presence of perturbations.
These results promise interesting prospects for future research in the field of studying quantum systems.
A new study conducted by scientists from the United States and Taiwan has theoretically proved the existence of a universal lower bound for topological entanglement, which is always non-negative. The results of the study are published in the journal Physical Review Letters.
The Topological entanglement entropy (TEE) is a measure that provides insight into non-local phenomena and entanglement in quantum systems with topological properties. Understanding TEE is key to studying the behavior of quantum systems, especially given the role of quantum entanglement in quantum computing.
In quantum systems, it is often observed that entanglement follows the area law. TEE provides additional information that characterizes the topological phase of the system. Dr. Bowen Shi, lead author of the study, said that TEE allows you to find out the number of types of anions in the phase of a substance.
The researchers decided to study the reliability of extracting universal properties from the ground state wave function. They found that the new state should extract a larger TEE value than the no-noise state. This means that there is a universal lower bound for TEE that is always nonnegative.
Dr. Shi compared this to how a glass always gets lighter when we remove dust from its surface. Similarly, adding noise does not reduce the TEE, but reveals an additional, non-negative TEE in the system.
The scientists also noted that TEE is invariant under quantum schemes of constant depth, which makes it a useful tool for understanding the underlying topological phase of the ground state.
Dr. Shi emphasized the practical value of their research, especially in the context of quantum computing. The discovery of the universal TEE lower bound emphasizes the stability of this entanglement measure even in the presence of perturbations.
These results promise interesting prospects for future research in the field of studying quantum systems.