Scrambling and Quantum Teleportation
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866913322716102656 |
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| author | Kim, MuSeong Hwang, Mi-Ra Jung, Eylee Park, DaeKil |
| author_facet | Kim, MuSeong Hwang, Mi-Ra Jung, Eylee Park, DaeKil |
| contents | Scrambling is a concept introduced from information loss problem arising in black hole. In this paper we discuss the effect of scrambling from a perspective of pure quantum information theory. We introduce $7$-qubit quantum circuit for a quantum teleportation. It is shown that the teleportation can be perfect if a maximal scrambling unitary is used. From this fact we conjecture that ``the quantity of scrambling is proportional to the fidelity of teleportation''. In order to confirm the conjecture we introduce $θ$-dependent partially scrambling unitary, which reduces to no scrambling and maximal scrambling at $θ= 0$ and $θ= π/ 2$, respectively. Then, we compute the average fidelity analytically, and numerically by making use of qiskit (version $0.36.2$) and $7$-qibit real quantum computer ibm$\_$oslo. Finally, we conclude that our conjecture can be true or false depending on the choice of qubits for Bell measurement. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_10068 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Scrambling and Quantum Teleportation Kim, MuSeong Hwang, Mi-Ra Jung, Eylee Park, DaeKil Quantum Physics Scrambling is a concept introduced from information loss problem arising in black hole. In this paper we discuss the effect of scrambling from a perspective of pure quantum information theory. We introduce $7$-qubit quantum circuit for a quantum teleportation. It is shown that the teleportation can be perfect if a maximal scrambling unitary is used. From this fact we conjecture that ``the quantity of scrambling is proportional to the fidelity of teleportation''. In order to confirm the conjecture we introduce $θ$-dependent partially scrambling unitary, which reduces to no scrambling and maximal scrambling at $θ= 0$ and $θ= π/ 2$, respectively. Then, we compute the average fidelity analytically, and numerically by making use of qiskit (version $0.36.2$) and $7$-qibit real quantum computer ibm$\_$oslo. Finally, we conclude that our conjecture can be true or false depending on the choice of qubits for Bell measurement. |
| title | Scrambling and Quantum Teleportation |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2211.10068 |