When the constant-depth circuit is removed, the value of topological entanglement entropy (γ) computed from the state returns to the ideal value (γ₀). Credit: Dr. Bowen Shi.
Oct. 29, 2023 (Phys.org) -- In a new study, scientists from the United States and Taiwan have theoretically demonstrated the existence of a universal lower bound on topological entanglement entropy, which is always non-negative. The findings are published in the journal Physical Review Letters.
Quantum systems are bizarre and follow their own rules, with quantum states telling us everything we know about that system. Topological entanglement entropy (TEE) is a measure that provides insights into emergent non-local phenomena and entanglement in quantum systems with topological properties.
Given the fundamental role of quantum entanglement in quantum computing and various information applications, understanding TEE becomes essential for gaining insights into the behavior of quantum systems.
In quantum systems, it's often observed that the entanglement entropies follow an area law. This means that the entanglement between particles or regions is related to the area of the boundary that separates them. TEE is a specific term within the entanglement entropy that provides additional information. It's like a correction term that characterizes the topological phase of the system.
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