Remotely Controlled Entanglement Generation

Ferran Riera-Sàbat1, Pavel Sekatski2, and Wolfgang Dür1

1Universität Innsbruck, Institut für Theoretische Physik, Technikerstraße 21a, 6020 Innsbruck, Austria
2University of Geneva, Department of Applied Physics, 1211 Geneva, Switzerland

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Abstract

We consider a system of multiple qubits without any quantum control. We show that one can mediate entanglement between different subsystems in a controlled way by adding a (locally) controlled auxiliary system of the same size that couples via an always-on, distant dependent interaction to the system qubits. Solely by changing the internal state of the control system, one can selectively couple it to selected qubits, and ultimately generate different kinds of entanglement within the system. This provides an alternative way for quantum control and quantum gates that does not rely on the ability to switch interactions on and off at will, and can serve as a locally controlled quantum switch where all entanglement patterns can be created. We demonstrate that such an approach also offers an increased error tolerance w.r.t. position fluctuations.

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[1] Nahid Binandeh Dehaghani, A. Pedro Aguiar, and Rafal Wisniewski, 2025 11th International Conference on Control, Decision and Information Technologies (CoDIT) 1595 (2025) ISBN:979-8-3315-0338-3.

[2] Ferran Riera-Sàbat, Pavel Sekatski, and Wolfgang Dür, "A quantum simulator based on locally controlled logical systems", New Journal of Physics 25 2, 023001 (2023).

[3] Volkan Duran and Ferhat Taş, "Selective qubit entanglement via projective $$\Omega $$-product: algebraic framework and interactive visualization", Quantum Information Processing 25 8, 243 (2026).

[4] Ferran Riera-Sàbat, Pavel Sekatski, and Wolfgang Dür, "Quantum computation with logical gates between hot systems", Physical Review Research 6 3, 033101 (2024).

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[6] Yunyan Lee, Ciann-Dong Yang, and Daoyi Dong, "Entanglement Measure-Based Sliding Mode Control for Quantum State Preparation", IEEE Transactions on Cybernetics 55 10, 4771 (2025).

[7] Nahid Binandeh Dehaghani, A. Pedro Aguiar, and Rafal Wisniewski, 2025 IEEE International Conference on Quantum Control, Computing and Learning (qCCL) 112 (2025) ISBN:978-1-6654-5782-8.

[8] Son-Hsien Chen, Seng Ghee Tan, and Ching-Ray Chang, "Navigating entanglement via Ruderman–Kittel–Kasuya–Yosida exchange: oscillatory, boundary-residing, pulsed, and damping-stabilized trajectories", Scientific Reports 16 1, 16942 (2026).

[9] Yuanbo Chen and Yoshihiko Hasegawa, "Fundamental trade-off relation in probabilistic entanglement generation", Physical Review A 113 2, 022431 (2026).

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