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arXiv · 1709.01232

Nonexistence of $n$-qubit unextendible product bases of size $2^n-5$

Lin Chen·Dragomir Z Djokovic
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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 $n\ge3$. We prove that they do not exist for cardinality $2^n-5$.

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Lin Chen, Dragomir Z Djokovic. 2017-09-05. Nonexistence of $n$-qubit unextendible product bases of size $2^n-5$. https://doi.org/10.1007/s11128-017-1791-8

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