Multiparticle entanglement and ranks of density matrices
Bo Chong, Hellmut Keiter, Joachim Stolze
Abstract
Based on the ranks of reduced density matrices, we derive necessary conditions for the separability of multiparticle arbitrary-dimensional mixed states, which are equivalent to sufficient conditions for entanglement. In a similar way we obtain necessary conditions for the separability of a given mixed state with respect to partitions of all particles of the system into subsets. The special case of pure states is discussed separately.
Create a lesson
Related papers
Spectral Fingerprints of Gauge Theories on a Quantum Computer
Graham Van Goffrier, Debasish Banerjee, Bipasha Chakraborty et al.
Dynamics of local quantum information in random unitary circuits
Ratul Thakur, Sthitadhi Roy
Factorized Boolean representations for efficient quantum synthesis
Mehul Shah, Robert Fiszer, Marek Perkowski
Detuning- and Stark-robust Rydberg gates
Elie Bataille, Gyohei Nomura, Manuel Endres
Krylov Break Times from an Inhomogeneous Lieb--Robinson Light Cone
Shunji Matsuura, Yoji Kawamura, Joseph Salfi et al.
Stochastic transport of a Goldstone mode in a self-organized atomic crystal
Zhanhai Yu, Di Xiang, Xiaotian Zhang et al.