TY - JOUR
T1 - Nonexistence of n-qubit unextendible product bases of size 2 n- 5
AU - Chen, Lin
AU - Đoković, Dragomir
N1 - Publisher Copyright:
© 2017, Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2018/2/1
Y1 - 2018/2/1
N2 - 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≥ 3. We prove that they do not exist for cardinality 2 n- 5.
AB - 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≥ 3. We prove that they do not exist for cardinality 2 n- 5.
KW - Multiqubit
KW - Positive partial transpose (PPT)
KW - Unextendible product basis (UPB)
UR - https://www.scopus.com/pages/publications/85039043970
U2 - 10.1007/s11128-017-1791-8
DO - 10.1007/s11128-017-1791-8
M3 - 文章
AN - SCOPUS:85039043970
SN - 1570-0755
VL - 17
JO - Quantum Information Processing
JF - Quantum Information Processing
IS - 2
M1 - 24
ER -