Analysis of the Effects of Crosstalk Errors on Various Quantum Circuits

Real-time computers of the Noisy Intermediate Scale Quantum (NISQ) era undergo the undesirable coupling among qubits known as crosstalk. The negative effects of crosstalk errors can lead to degradation in the performance of various quantum circuits. In this paper, we present four crosstalk models that negatively affect the outcome of Grover’s search algorithm, Simon’s algorithm and the performance of the quantum teleportation protocol. The crosstalk models presented in this work are used as malicious circuits running alongside the victim circuits of the said quantum algorithms and protocol. This is possible in the shared cloud quantum computing environment which is right now offered by some of the industries. This work demonstrates the formation of some of the possible patterns as parts of the malicious circuits and their repetitions to inject crosstalk errors in the victim circuits. The analysis of the affected outputs for each pattern along with the corresponding diagrammatic representation is also done in this article along with the discussion on the degraded results for the used victim circuits other than the state-of-the-art works for the available ones. Moreover, this work highlights the need for proper counter-measures in order to detect and eliminate the malicious patterns that can harm the performance of a quantum circuit.