Scrambling and Quantum Teleportation
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
$\theta$-dependent partially scrambling unitary, which reduces to no scrambling
and maximal scrambling at $\theta = 0$ and $\theta = \pi / 2$, 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.
MuSeong Kim Mi-Ra Hwang Eylee Jung DaeKil Park