Effects of Various Interactions on Gravitational Cat States under Amplitude Damping Noise

Abstract

In modern quantum information processing, the engineering of quantum states to preserve information and correlations is crucial. We investigate two qubits characterized by gravitational interaction and spin-orbit coupling, assuming a specific separation between ground and excited states that affects the gravitational interaction strength. To enhance state manipulation for quantum information, we also consider exposing the system to an external magnetic field, a Josephson junction, and amplitude damping channel. We demonstrate that reduced magnetic field, temperature, and decoherence lead to higher levels of quantum correlations over longer intervals. Conversely, greater strengths of gravitational interaction, spin-orbit coupling and Josephson energy enhance the quantum correlations of the state. It is crucial to properly adjust the Josephson gate phase angle to achieve the desired levels of quantum correlations. Finally, the gravitational state characterized by various interactions remains a more optimal choice for quantum information than its simplest version, as it provides enhanced control over quantum features.