Capturing the Page Curve and Entanglement Dynamics of Black Holes in Quantum Computers
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911161308413952 |
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| author | Chowdhury, Talal Ahmed Yu, Kwangmin Asaduzzaman, Muhammad Sufian, Raza Sabbir |
| author_facet | Chowdhury, Talal Ahmed Yu, Kwangmin Asaduzzaman, Muhammad Sufian, Raza Sabbir |
| contents | Quantum computers are emerging technologies expected to become important tools for exploring various aspects of fundamental physics in the future. Therefore, we pose the question of whether quantum computers can help us to study the Page curve and the black hole information dynamics, which has been a key focus in fundamental physics. In this regard, we rigorously examine the qubit transport model, a toy qubit model of black hole evaporation on IBM's superconducting quantum computers, to shed light on this question. Specifically, we implement the quantum simulation of the scrambling dynamics in black holes using an efficient random unitary circuit. Furthermore, we employ the swap-based many-body interference protocol and the randomized measurement protocol to measure the entanglement entropy of Hawking radiation qubits in this model. Finally, by incorporating quantum error mitigation techniques into our challenging implementation of entanglement entropy measurement protocols on the IBM quantum hardware, we accurately determine the Rényi entropy in the qubit transport model, thus showcasing the utility of quantum computers for future investigations of complex quantum systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_15180 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Capturing the Page Curve and Entanglement Dynamics of Black Holes in Quantum Computers Chowdhury, Talal Ahmed Yu, Kwangmin Asaduzzaman, Muhammad Sufian, Raza Sabbir Quantum Physics High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory Quantum computers are emerging technologies expected to become important tools for exploring various aspects of fundamental physics in the future. Therefore, we pose the question of whether quantum computers can help us to study the Page curve and the black hole information dynamics, which has been a key focus in fundamental physics. In this regard, we rigorously examine the qubit transport model, a toy qubit model of black hole evaporation on IBM's superconducting quantum computers, to shed light on this question. Specifically, we implement the quantum simulation of the scrambling dynamics in black holes using an efficient random unitary circuit. Furthermore, we employ the swap-based many-body interference protocol and the randomized measurement protocol to measure the entanglement entropy of Hawking radiation qubits in this model. Finally, by incorporating quantum error mitigation techniques into our challenging implementation of entanglement entropy measurement protocols on the IBM quantum hardware, we accurately determine the Rényi entropy in the qubit transport model, thus showcasing the utility of quantum computers for future investigations of complex quantum systems. |
| title | Capturing the Page Curve and Entanglement Dynamics of Black Holes in Quantum Computers |
| topic | Quantum Physics High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.15180 |