Document Type
Article
Publication Date
2004
Abstract
We present networks for directly estimating the polynomial invariants of multiparty quantum states under local transformations. The structure of these networks is closely related to the structure of the invariants themselves and this lends a physical interpretation to these otherwise abstract mathematical quantities. Specifically, our networks estimate the invariants under local unitary (LU) transformations and under stochastic local operations and classical communication (SLOCC). Our networks can estimate the LU invariants for multiparty states, where each party can have a Hilbert space of arbitrary dimension and the SLOCC invariants for multiqubit states. We analyze the statistical efficiency of our networks compared to methods based on estimating the state coefficients and calculating the invariants.
Recommended Citation
Leifer, M.S., Linden, N., Winter, A., 2004. Measuring polynomial invariants of multiparty quantum states. Phys. Rev. A 69, 052304. doi:10.1103/PhysRevA.69.052304
Peer Reviewed
1
Copyright
American Physical Society
Comments
This article was originally published in Physical Review A, volume 69, in 2004. DOI: 10.1103/PhysRevA.69.052304