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

arXiv
Authors: Lin Chen, Dragomir Z Djokovic

Year

2017

Paper ID

7664

Status

Preprint

Abstract Read

~2 min

Abstract Words

46

Citations

N/A

Abstract

It is known that the n-qubit system has no unextendible product bases (UPBs) of cardinality 2n-1, 2n-2 and 2n-3. On the other hand the n-qubit UPBs of cardinality 2n-4 exist for all nge3. We prove that they do not exist for cardinality 2n-5.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2017 reference point for readers tracking recent quantum research.
  • 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.

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