Low-rank approximation to entangled multipartite quantum systems

Matthew M. Lin, Moody T. Chu

研究成果: Article同行評審


Qualifying the entanglement of a mixed multipartite state by gauging its distance to the nearest separable state of a fixed rank is a challenging but critically important task in quantum technologies. Such a task is computationally demanding partly because of the necessity of optimization over the complex field in order to characterize the underlying quantum properties correctly and partly because of the high nonlinearity due to the multipartite interactions. Representing the quantum states as complex density matrices with respect to some suitably selected bases, this work offers two avenues to tackle this problem numerically. For the rank-1 approximation, an iterative scheme solving a nonlinear singular value problem is investigated. For the general low-rank approximation with probabilistic combination coefficients, a projected gradient dynamics is proposed. Both techniques are shown to converge globally to a local solution. Numerical experiments are carried out to demonstrate the effectiveness and the efficiency of these methods.

期刊Quantum Information Processing
出版狀態Published - 2022 4月

All Science Journal Classification (ASJC) codes

  • 電子、光磁材料
  • 統計與非線性物理學
  • 理論電腦科學
  • 訊號處理
  • 建模與模擬
  • 電氣與電子工程


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