Teleporting two-qubit entanglement across 19 qubits on a superconducting quantum computer
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913992390213632 |
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| author | Kang, Haiyue Kam, John F. Mooney, Gary J. Hollenberg, Lloyd C. L. |
| author_facet | Kang, Haiyue Kam, John F. Mooney, Gary J. Hollenberg, Lloyd C. L. |
| contents | Quantum teleportation is not merely a fascinating corollary of quantum entanglement, it also finds utility in quantum processing and circuit compilation. In this paper, we measure and track the entanglement and fidelity of two-qubit states prepared on a 127-qubit IBM Quantum device, as one of the qubits is teleported across 19 qubits. We design, evaluate and compare two distinct approaches to teleportation: post-selected measurement categorisation and dynamic circuit corrections based on mid-circuit measurements, and compare with direct state transportation using SWAP gates. By optimally choosing the teleportation path which exhibits the highest total negativity entanglement measure across nearest-neighbour pairs, we show the entanglement of a two-qubit graph state is sustained after at least 19 hops in teleportation using the post-selection approach and 17 hops using the dynamic circuit approach. We observe a higher level of teleported entanglement in paths determined from two-qubit negativities compared to those obtained from gate errors, demonstrating an advantage in using the negativity map over the gate error map for compiling quantum circuits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_02858 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Teleporting two-qubit entanglement across 19 qubits on a superconducting quantum computer Kang, Haiyue Kam, John F. Mooney, Gary J. Hollenberg, Lloyd C. L. Quantum Physics Quantum teleportation is not merely a fascinating corollary of quantum entanglement, it also finds utility in quantum processing and circuit compilation. In this paper, we measure and track the entanglement and fidelity of two-qubit states prepared on a 127-qubit IBM Quantum device, as one of the qubits is teleported across 19 qubits. We design, evaluate and compare two distinct approaches to teleportation: post-selected measurement categorisation and dynamic circuit corrections based on mid-circuit measurements, and compare with direct state transportation using SWAP gates. By optimally choosing the teleportation path which exhibits the highest total negativity entanglement measure across nearest-neighbour pairs, we show the entanglement of a two-qubit graph state is sustained after at least 19 hops in teleportation using the post-selection approach and 17 hops using the dynamic circuit approach. We observe a higher level of teleported entanglement in paths determined from two-qubit negativities compared to those obtained from gate errors, demonstrating an advantage in using the negativity map over the gate error map for compiling quantum circuits. |
| title | Teleporting two-qubit entanglement across 19 qubits on a superconducting quantum computer |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2407.02858 |