No nexiste nce of n-qubit u nexte ndible product bases of size $$2^ n-5$$2 n-5 |
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| Authors: | Lin Chen Dragomir Ž. Đoković |
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| Affiliation: | 1.School of Mathematics and Systems Science,Beihang University,Beijing,China;2.International Research Institute for Multidisciplinary Science,Beihang University,Beijing,China;3.Department of Pure Mathematics and Institute for Quantum Computing,University of Waterloo,Waterloo,Canada |
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| Abstract: | It is known that the n-qubit system has no unextendible product bases (UPBs) of cardinality (2^n-1), (2^n-2) and (2^n-3). On the other hand, the n-qubit UPBs of cardinality (2^n-4) exist for all (nge 3). We prove that they do not exist for cardinality (2^n-5). |
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