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The Structure of Decoherence-free Subsystems

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arxiv 1802.04904 v1 pith:O6BYBZEQ submitted 2018-02-14 quant-ph

The Structure of Decoherence-free Subsystems

classification quant-ph
keywords decoherence-freesubsystemsquantumstructurealgorithmapplicationbeenbody
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Decoherence-free subsystems have been successfully developed as a tool to preserve fragile quantum information against noises. In this letter, we develop a structure theory for decoherence-free subsystems. Based on it, we present an effective algorithm to construct a set of maximal decoherence-free subsystems in the sense that any other such subsystem is a subspace of one of them. As an application of these techniques in quantum many body systems, we propose a simple and numerically robust method to determine if two irreducible tensors are repeated, a key step in deciding if they are equivalent in generating matrix product states.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Model Checking Matrix Product States against Linear Chain Logic

    quant-ph 2026-05 unverdicted novelty 7.0

    Introduces Linear Chain Logic (LCL) and approximate algorithms to model-check spatial and asymptotic properties of periodic MPS families via their induced completely positive maps.