  Crosstalk and several sources of operational interference are invisible when
qubit or a gate is calibrated or benchmarked in isolation. These are unlocked
during the execution of full quantum circuit applying entangling gates to
several qubits simultaneously. Unwanted Z-Z coupling on superconducting
cross-resonance CNOT gates, is a commonly occurring unitary crosstalk noise
that severely limits the state fidelity. This work presents (1) method of
tracing unitary errors, which exploits their sensitivity to the arrangement of
CNOT gates in the circuit and (2) correction scheme that modifies original
circuit by inserting carefully chosen compensating gates (single- or two-qubit)
to possibly undo unitary errors. On two vastly different types of IBMQ
processors offering quantum volume 8 and 32, our experimental results show up
to 25% reduction in the infidelity of [[7, 1, 3]] code |+> state. Our
experiments aggressively deploy forced commutation of CNOT gates to obtain low
noise state-preparation circuits. Encoded state initialized with fewer unitary
errors marks an important step towards successful demonstration of
fault-tolerant quantum computers.
