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Quantum Error Correction Fault Tolerance
Entanglement Theory Quantum Correlations
Locally inequivalent four qubit hypergraph states
arXiv
Authors: Xiao-yu Chen, Lei Wang
Year
2014
Paper ID
47752
Status
Preprint
Abstract Read
~2 min
Abstract Words
62
Citations
N/A
Abstract
Hypergraph states as real equally weighted pure states are important resources for quantum codes of non-local stabilizer. Using local Pauli equivalence and permutational symmetry, we reduce the 32768 four qubit real equally weighted pure states to 28 locally inequivalent hypergraph states and several graph states. The calculation of geometric entanglement supplemented with entanglement entropy confirms that further reduction is impossible for true hypergraph states.
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- This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
- It adds a 2014 reference point for readers tracking recent quantum research.
- Hypergraph states as real equally weighted pure states are important resources for quantum codes of non-local stabilizer.
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