Decoherence of the color code produces a mixed state with topological entanglement negativity ln 2 that corresponds to an emergent single toric code.
Fujii, Quantum computation with topological codes: from qubit to topological fault-tolerance (2015), arXiv:1504.01444 [quant-ph]
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abstract
This is a comprehensive review on fault-tolerant topological quantum computation with the surface codes. The basic concepts and useful tools underlying fault-tolerant quantum computation, such as universal quantum computation, stabilizer formalism, and measurement-based quantum computation, are also provided in a pedagogical way. Topological quantum computation by brading the defects on the surface code is explained in both circuit-based and measurement-based models in such a way that their relation is clear. The interdisciplinary connections between quantum error correction codes and subjects in other fields such as topological order in condensed matter physics and spin glass models in statistical physics are also discussed. This manuscript will be appeared in SpringerBriefs.
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Derives bounds on localizable entanglement versus lost entanglement for GHZ/W states, shows asymptotic equality for large Dicke states, and cubic scaling in XY/XXZ models, including under phase-flip noise.
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Decohered color code and emerging mixed toric code by anyon proliferation: Topological entanglement negativity perspective
Decoherence of the color code produces a mixed state with topological entanglement negativity ln 2 that corresponds to an emergent single toric code.
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Controlling gain with loss: Bounds on localizable entanglement in multi-qubit systems
Derives bounds on localizable entanglement versus lost entanglement for GHZ/W states, shows asymptotic equality for large Dicke states, and cubic scaling in XY/XXZ models, including under phase-flip noise.