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Quantum Simulation
Constructing 2times2times4 and 4times4 unextendible product bases and positive-partial-transpose entangled states
arXiv
Authors: Lin Chen, Kai Wang, Yi Shen, Yize Sun, Lijun Zhao
Year
2018
Paper ID
23911
Status
Preprint
Abstract Read
~2 min
Abstract Words
100
Citations
N/A
Abstract
The 4-qubit unextendible product basis (UPB) has been recently studied by [Johnston, J. Phys. A: Math. Theor. 47 (2014) 424034]. From this result we show that there is only one UPB of size 6 and six UPBs of size 9 in cH=bbC2oxbbC2oxbbC4, three UPBs of size 9 in cK=bbC4oxbbC4, and no UPB of size 7 in cH and cK. Furthermore we construct a 4-qubit positive-partial-transpose (PPT) entangled state r of rank seven, and show that it is also a PPT entangled state in cH and cK, respectively. We analytically derive the geometric measure of entanglement of a special r.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2018 reference point for readers tracking recent quantum research.
- The 4-qubit unextendible product basis (UPB) has been recently studied by [Johnston, J.
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