TY - JOUR
T1 - Bipartite Matrix-Valued Tensor Product Correlations That are Not Finitely Representable
AU - Harris, Samuel J.
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature.
PY - 2021/3
Y1 - 2021/3
N2 - We consider the matrix-valued generalizations of bipartite tensor product quantum correlations and bipartite infinite-dimensional tensor product quantum correlations, respectively. These sets are denoted by Cq(n)(m,k) and Cqs(n)(m,k), respectively, where m is the number of inputs, k is the number of outputs, and n is the matrix size. We show that, for any m, k≥ 2 with (m, k) ≠ (2 , 2) , there is an n≤ 4 for which we have the separation Cq(n)(m,k)≠Cqs(n)(m,k).
AB - We consider the matrix-valued generalizations of bipartite tensor product quantum correlations and bipartite infinite-dimensional tensor product quantum correlations, respectively. These sets are denoted by Cq(n)(m,k) and Cqs(n)(m,k), respectively, where m is the number of inputs, k is the number of outputs, and n is the matrix size. We show that, for any m, k≥ 2 with (m, k) ≠ (2 , 2) , there is an n≤ 4 for which we have the separation Cq(n)(m,k)≠Cqs(n)(m,k).
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U2 - 10.1007/s00220-021-03937-y
DO - 10.1007/s00220-021-03937-y
M3 - Article
AN - SCOPUS:85101778219
SN - 0010-3616
VL - 382
SP - 709
EP - 720
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 2
ER -