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arXiv:1307.4349 · Nature

Autonomously stabilized entanglement between two superconducting quantum bits

Shyam Shankar, Michael Hatridge, Zaki Leghtas, Katrina Sliwa, A. Narla, Uri Vool, S. M. Girvin, Luigi Frunzio, Mazyar Mirrahimi, Michel Devoret

Published Nov 22, 2013• 368 citations
arXivHTMLPDF
DOI
10.1038/nature12802

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Autonomous quantum error correction (QEC) stabilizes a logical manifold through dissipative events that emit into output channels, which are typically accessible to measurement. These signals are often discarded, and whether they contain useful information about logical failures remains generally unclear. Using quantum trajectories, we show that in dissipatively stabilized cat qubits bit flips are not silent logical errors: each flip is accompanied by a strong, time-localized photon burst from the dissipative buffer. Photon counting and homodyne monitoring can therefore herald the loss of logical information without interrupting the autonomous stabilization: bit flips in dissipative cat qubits are erasures. More broadly, our results show that the emitted signals of engineered reservoirs can act as built-in failure monitors for autonomous QEC, turning rare logical faults into erasures available to a decoder and reducing fault-tolerance overhead. To this end, we develop a general framework, based on past quantum states and number-resolved master equations, to quantify the detectability of such logical failures in autonomous QEC from the emitted signal.