  Due to the no-cloning theorem, generating perfect quantum clones of an
arbitrary unknown quantum state is not possible, however approximate quantum
clones can be constructed. Quantum telecloning is a protocol that originates
from a combination of quantum teleportation and quantum cloning. Here we
present $1 \rightarrow 2$ and $1 \rightarrow 3$ quantum telecloning circuits,
with and without ancilla, that are theoretically optimal (meaning the clones
have the highest fidelity allowed by quantum mechanics), universal (meaning the
clone fidelity is independent of the state being cloned), and symmetric
(meaning the clones all have the same fidelity). We implement these circuits on
gate model IBMQ and Quantinuum NISQ hardware and quantify the clone fidelities
using parallel single qubit state tomography. Quantum telecloning using
mid-circuit measurement with classical feed-forward control (i.e. real time if
statements) is demonstrated on the Quantinuum H1-2 device. Two alternative
implementations of quantum telecloning, deferred measurement and post
selection, are demonstrated on ibmq\_montreal, where mid-circuit measurements
with real time if statements are not available. Our results show that NISQ
devices can achieve near-optimal quantum telecloning fidelity; for example the
Quantinuum H1-2 device running the telecloning circuits without ancilla
achieved a mean clone fidelity of $0.824$ with standard deviation of $0.024$
for two clone circuits and $0.765$ with standard deviation of $0.022$ for three
clone circuits. The theoretical fidelity limits are $0.8\overline{3}$ for two
clones and $0.\overline{7}$ for three clones. This demonstrates the viability
of performing experimental analysis of quantum information networks and quantum
cryptography protocols on NISQ computers.
