Almost all four-particle pure states are determined by their two-body marginals

作者：Wyderka Nikolai^*; Huber Felix; Guehne Otfried

来源：PHYSICAL REVIEW A, 2017, 96(1): 010102.

DOI：10.1103/PhysRevA.96.010102

We show that generic pure states (states drawn according to the Haar measure) of four particles of equal internal dimension are uniquely determined among all other pure states by their two-body marginals. In fact, certain subsets of three of the two-body marginals suffice for the characterization. We also discuss generalizations of the statement to pure states of more particles, showing that these are almost always determined among pure states by three of their (n -2)-body marginals. Finally, we present special families of symmetric pure four-particle states that share the same two-body marginals and are therefore undetermined. These are four-qubit Dicke states in superposition with generalized GHZ states.

• 出版日期2017-7-11