Noise controlling entangling operators in the quantum network implementation of cop and robber game

The quantum version of cop and robber game, implemented on the quantum circuit, is investigated in the presence of noisy environment. The various noise models are applied on the initial quantum state and the final affected quantum states are studied by calculating the fidelity of the states. Specifically, amplitude damping, phase damping, phase-flip damping and bit-flip damping noise models are analyzed. From the fidelity graphs, it is inferred that by using a certain set of entangling operators, the noise can be suppressed in the quantum network. In particular, amplitude damping can be completely eliminated, though phase damping cannot be suppressed by any particular entangling operators. On the other hand, the phase-flip damping and bit-flip damping cause the entanglement sudden death in the quantum state. Thus, existence of suitable entangling operator is indicated to control the noise in the quantum networks.

Automated summary

This study investigates the quantum version of the cop and robber game implemented on a quantum circuit in the presence of a noisy environment. Various noise models are applied to the initial quantum state, and the fidelity of the affected quantum states is analyzed. The findings suggest that the noise in the quantum network can be suppressed by using a certain set of entangling operators, with amplitude damping being completely eliminated. However, phase damping cannot be suppressed by any specific entangling operators, and phase-flip damping and bit-flip damping cause the entanglement sudden death in the quantum state. Therefore, the existence of suitable entangling operators is indicated for noise control in quantum networks.