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Systematic construction of multiqubit unextendible product bases

Cheng, Caohan et al.
arXiv (OAI Expanded) · Papers
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quantum-physics
The construction of multiqubit unextendible product bases (UPBs) has been a long-standing problem. We give a systematic construction of multiqubit UPBs by studying their unextendible orthogonal matrices (UOMs) with graph-theoretic methods. Row decompositions of small UOMs produce the main intervals.
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