The idea of “mutual assistance” (gotong royong) in Indonesia has been the basis for political discourse concerning the nature of authority, the characteristics of village society, and the legitimacy of demands for labor by the state. This article traces the way in which both changing political ideologies and state-village relations have been mediated by the term gotong royong, and suggests that its multiple meanings have been central to its semantic, political, and economic roles. Local interpretations of national doctrine and reactions to state policy are examined in two cases: East Java and Gayo (Aceh). The wide variety of local strategies is perceived as depending on preexisting political traditions and power relations vis-à-vis the state.
Quantum error correction was invented to allow for fault-tolerant quantum computation. Systems with topological order turned out to give a natural physical realization of quantum error correcting codes (QECC) in their groundspaces. More recently, in the context of the AdS/CFT correspondence, it has been argued that eigenstates of CFTs with a holographic dual should also form QECCs.These two examples raise the question of how generally eigenstates of many-body models form quantum codes. In this work we establish new connections between quantum chaos and translationinvariance in many-body spin systems, on one hand, and approximate quantum error correcting codes (AQECC), on the other hand. We first observe that quantum chaotic systems exhibiting the Eigenstate Thermalization Hypothesis (ETH) have eigenstates forming approximate quantum errorcorrecting codes. Then we show that AQECC can be obtained probabilistically from translationinvariant energy eigenstates of every translation-invariant spin chain, including integrable models. Applying this result to 1D classical systems, we describe a method for using local symmetries to construct parent Hamiltonians that embed these codes into the low-energy subspace of gapless 1D quantum spin chains. As explicit examples we obtain local AQECC in the ground space of the 1D ferromagnetic Heisenberg model and the Motzkin spin chain model with periodic boundary conditions, thereby yielding non-stabilizer codes in the ground space and low energy subspace of physically plausible 1D gapless models.
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