English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We construct coefficient matrices of size 2^l by 2^{n-l} associated with puren-qubit states and prove the invariance of the ranks of the coefficientmatrices under stochastic local operations and classical communication (SLOCC).The ranks give rise to a simple way of partitioning pure n-qubit states intoinequivalent families and distinguishing degenerate families from one anotherunder SLOCC. Moreover, the classification scheme via the ranks of coefficientmatrices can be combined with other schemes to build a more refinedclassification scheme. To exemplify we classify the nine families of fourqubits introduced by Verstraete et al. [Phys. Rev. A 65, 052112 (2002)] furtherinto inequivalent subfamilies via the ranks of coefficient matrices, and as aresult, we find 28 genuinely entangled families and all the degenerate classescan be distinguished up to permutations of the four qubits. We also discuss thecompleteness of the classification of four qubits into nine families.

Method for classifying multiqubit states via the rank of the coefficient matrix and its application to four-qubit states