Comparing and combining measurement-based and driven-dissipative entanglement stabilization
Yehan Liu, Shyam Shankar, Nissim Ofek, Michael Hatridge, Anirudh, Narla, Katrina Sliwa, Luigi Frunzio, Robert J. Schoelkopf, Michel H. Devoret

TL;DR
This paper compares measurement-based and driven-dissipative feedback methods for stabilizing qubit entanglement, demonstrating their effectiveness and enhancement through nested feedback in a superconducting qubit platform.
Contribution
It provides a direct experimental comparison of two entanglement stabilization schemes and introduces nested feedback to improve fidelity without reducing success rate.
Findings
Both feedback schemes successfully stabilize entanglement.
Nested feedback enhances entanglement fidelity significantly.
The platform enables real-time heralding of high-fidelity entangled states.
Abstract
We demonstrate and contrast two approaches to the stabilization of qubit entanglement by feedback. Our demonstration is built on a feedback platform consisting of two superconducting qubits coupled to a cavity which are measured by a nearly-quantum-limited measurement chain and controlled by high-speed classical logic circuits. This platform is used to stabilize entanglement by two nominally distinct schemes: a "passive" reservoir engineering method and an "active" correction based on conditional parity measurements. In view of the instrumental roles that these two feedback paradigms play in quantum error-correction and quantum control, we directly compare them on the same experimental setup. Further, we show that a second layer of feedback can be added to each of these schemes, which heralds the presence of a high-fidelity entangled state in realtime. This "nested" feedback brings…
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