hardware sensing

Entanglement Dynamics in a Two Transmon Qubit System under Continuous Measurement and Postselection

Curator's Take

This work tackles one of quantum computing's biggest challenges: how to preserve precious entanglement between qubits when the environment is constantly trying to destroy it through decoherence. The researchers demonstrate that by continuously monitoring the quantum system and carefully selecting which measurement outcomes to keep (postselection), they can dramatically slow down entanglement decay compared to letting the system evolve naturally. What makes this particularly valuable is their focus on transmon qubits, the workhorses of current quantum processors from companies like IBM and Google, combined with realistic modeling of detector imperfections that plague real-world implementations. The discovery of exceptional points and PT-symmetric phases in this monitored quantum system opens new theoretical pathways for quantum error mitigation that could extend coherence times in near-term quantum devices.

— Mark Eatherly

Summary

We investigate the role of continuous measurement and postselection in the dynamics and entanglement of a transmon-cavity-transmon coupled system. In the dispersive regime, characterized by a large detuning between the transmons and the cavity, the two transmons interact via virtual excitation of the cavity, giving rise to an effective transmon-transmon coupling. In addition to this coherent interaction, each transmon undergoes spontaneous emission, which is continuously monitored through independent detection channels. By incorporating realistic detector inefficiencies, we analyze both efficient and imperfect monitoring scenarios and demonstrate that postselection significantly slows down the decay of entanglement compared to the unmonitored case. We formulate the stochastic master equation for the coupled system, derive the corresponding postselected master equation, and investigate the dynamics through the Liouvillian superoperator spectrum. In the interaction frame, we identify the emergence of an exceptional point and characterize the associated broken and unbroken PT-symmetric phases. We show how these phases influence the system dynamics and the corresponding entanglement behavior. Our results provide insight into how continuous measurement and postselection affect entanglement in dissipative quantum systems, with potential applications in quantum information processing.