aiqbench analysis
This study demonstrates how continuous homodyne monitoring of two qubits coupled to a common electromagnetic field can actively generate entanglement and enhance quantum magic during system decay. By deriving an analytical Stochastic Master Equation that accounts for interference between measurement channels, the research establishes this monitoring scheme as a tunable mechanism for creating essential quantum resources. These findings advance our understanding of measurement-induced dynamics and offer new pathways for controlling quantum states in foundational experiments and potential applications.
Generation of entanglement and magic via continuous homodyne monitoring of a qubit pair
arXiv:2609.15868v1 Announce Type: new Abstract: Continuous weak measurements of quantum systems are of great relevance in quantum foundations and applications. They can be achieved by probing the quantum system of interest by repeatedly measuring an auxiliary system weakly coupled to it. Here we study two qubits coupled in different points to a common one-dimensional electromagnetic field and simultaneously monitored in the right- and left-propagating output channels by homodyne detection. Using a collision-model description, we derive an analytical Stochastic Master Equation (SME) governing the resulting diffusive quantum trajectories, including the interference between the two measurement channels. For nonlinear functions of the quantum state, such as entropies, averages over quantum trajectories generally differ from the corresponding quantities evaluated on the unconditional state. Through this mechanism, we show that continuous monitoring generates entanglement, absent in the unconditional dynamics, and enhances quantum magic in the qubit pair during the decay. Both resources can be tuned through the optical phase accumulated between the qubits and the phases of homodyne local oscillators. Our results establish continuous homodyne monitoring of multiple emitters as a tunable mechanism for generating quantum resources.
Abstract:Continuous weak measurements of quantum systems are of great relevance in quantum foundations and applications. They can be achieved by probing the quantum system of interest by repeatedly measuring an auxiliary system weakly coupled to it. Here we study two qubits coupled in different points to a common one-dimensional electromagnetic field and simultaneously monitored in the right- and left-propagating output channels by homodyne detection. Using a collision-model description, we derive an analytical Stochastic Master Equation (SME) governing the resulting diffusive quantum trajectories, including the interference between the two measurement channels. For nonlinear functions of the quantum state, such as entropies, averages over quantum trajectories generally differ from the corresponding quantities evaluated on the unconditional state. Through this mechanism, we show that continuous monitoring generates entanglement, absent in the unconditional dynamics, and enhances quantum magic in the qubit pair during the decay. Both resources can be tuned through the optical phase accumulated between the qubits and the phases of homodyne local oscillators. Our results establish continuous homodyne monitoring of multiple emitters as a tunable mechanism for generating quantum resources.
arXiv:2609.15868 [quant-ph]
(or arXiv:2609.15868v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2609.15868 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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