01648nas a2200193 4500008004100000245006700041210006700108260001300175300001100188490000800199520108700207100001601294700001901310700002201329700001801351700002301369700002501392856003701417 2020 eng d00aSymmetry breaking and error correction in open quantum systems0 aSymmetry breaking and error correction in open quantum systems c8/6/2020 a2404050 v1253 a
Symmetry-breaking transitions are a well-understood phenomenon of closed quantum systems in quantum optics, condensed matter, and high energy physics. However, symmetry breaking in open systems is less thoroughly understood, in part due to the richer steady-state and symmetry structure that such systems possess. For the prototypical open system---a Lindbladian---a unitary symmetry can be imposed in a "weak" or a "strong" way. We characterize the possible Zn symmetry breaking transitions for both cases. In the case of Z2, a weak-symmetry-broken phase guarantees at most a classical bit steady-state structure, while a strong-symmetry-broken phase admits a partially-protected steady-state qubit. Viewing photonic cat qubits through the lens of strong-symmetry breaking, we show how to dynamically recover the logical information after any gap-preserving strong-symmetric error; such recovery becomes perfect exponentially quickly in the number of photons. Our study forges a connection between driven-dissipative phase transitions and error correctio
1 aLieu, Simon1 aBelyansky, Ron1 aYoung, Jeremy, T.1 aLundgren, Rex1 aAlbert, Victor, V.1 aGorshkov, Alexey, V. uhttps://arxiv.org/abs/2008.02816