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Article overview
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Algebraic Geometry tools for the study of entanglement: an application to spin squeezed states | Alessandra Bernardi
; Iacopo Carusotto
; | Date: |
1 Sep 2011 | Abstract: | A short review of Algebraic Geometry tools for the decomposition of tensors
and polynomials is given from the point of view of applications to quantum and
atomic physics. Examples of application to assemblies of indistinguishable
two-level bosonic atoms are discussed using modern formulations of the
classical Sylvester’s algorithm for the decomposition of homogeneous
polynomials in two variables. In particular, the symmetric rank and symmetric
border rank of spin squeezed states is calculated as well as their
Schr"odinger-cat-like decomposition as the sum of macroscopically different
coherent spin states; Fock states provide an example of states for which the
symmetric rank and the symmetric border rank are different. | Source: | arXiv, 1109.0221 | Services: | Forum | Review | PDF | Favorites |
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