Capturing the Page Curve and Entanglement Dynamics of Black Holes in Quantum Computers

Summary

This study explores the use of quantum computers to simulate black hole dynamics and measure entanglement entropy, a key concept in understanding the black hole information paradox. The researchers employed two protocols, the swap-based many-body interference protocol and the randomized measurement protocol, to measure the entanglement entropy of Hawking radiation in a toy qubit model of black hole evaporation.

Highlights

• The study demonstrates the potential of quantum computers in simulating complex quantum systems, such as black holes.
• The researchers used a qubit transport model to simulate the evaporation of a black hole and the entanglement of Hawking radiation.
• The swap-based many-body interference protocol and the randomized measurement protocol were used to measure the entanglement entropy of Hawking radiation.
• The study found that the randomized measurement protocol performed better in the presence of noise, making it more suitable for current quantum devices.
• The researchers implemented quantum error mitigation techniques to improve the accuracy of their results.
• The study's findings have implications for our understanding of black hole information dynamics and the potential for quantum computers to simulate complex quantum systems.
• The researchers demonstrated the ability to measure the entanglement entropy of Hawking radiation in a simulated black hole environment.

Key Insights

• The use of quantum computers to simulate black hole dynamics and measure entanglement entropy has the potential to revolutionize our understanding of complex quantum systems.
• The qubit transport model provides a simplified yet effective way to simulate the evaporation of a black hole and the entanglement of Hawking radiation.
• The swap-based many-body interference protocol and the randomized measurement protocol are both effective methods for measuring entanglement entropy, but the latter is more robust in the presence of noise.
• Quantum error mitigation techniques are essential for improving the accuracy of results in quantum computing, particularly when simulating complex systems like black holes.
• The study's findings have significant implications for our understanding of black hole information dynamics and the potential for quantum computers to simulate complex quantum systems.
• The ability to measure the entanglement entropy of Hawking radiation in a simulated black hole environment demonstrates the power of quantum computing in advancing our understanding of complex quantum systems.
• The study highlights the importance of developing more optimized quantum circuits and investigations to improve the performance of the swap-based many-body interference protocol.

Mindmap

Citation

Chowdhury, T. A., Yu, K., Asaduzzaman, M., & Sufian, R. S. (2024). Capturing the Page Curve and Entanglement Dynamics of Black Holes in Quantum Computers (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.15180