量子边际问题与对称群的表示
Quantum marginal problem and representations of the symmetric group
摘要：
讨论了给定谱和约化密度矩阵的多组分系统混合态的存在性。我们给出了一个完整的解决方案的问题的线性不等式的频谱，伴随着广泛的表的边际不等式，包括阵列高达4量子比特。在本文的第二部分中，我们追求另一种方法的基础上减少的问题表示理论的对称群。
英文摘要：
We discuss existence of mixed state of multicomponent system with given spectrum and given reduced density matrices. We give a complete solution of the problem in terms of linear inequalities on the spectra, accompanied with extensive tables of marginal inequalities, including arrays up to 4 qubits. In the second part of the paper we pursue another approach based on reduction of the problem to representation theory of the symmetric group.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
