SLOCC Invariants for Multipartite Mixed States
Naihuan Jing, Ming Li, Xianqing Li-Jost, Ting-Gui Zhang, Shao-Ming Fei
TL;DR
This paper introduces a set of SLOCC invariants for multipartite mixed quantum states, based on hyperdeterminants, which are basis-independent and applicable to states of arbitrary dimensions.
Contribution
The authors construct a new family of basis-independent invariants for multipartite mixed states using hyperdeterminants, applicable to arbitrary dimensions.
Findings
Explicit construction of hyperdeterminant-based invariants
Invariants applicable to any multipartite mixed state
Family of d^2 invariants for even-dimensional states
Abstract
We construct a nontrivial set of invariants for any multipartite mixed states under the SLOCC symmetry. These invariants are given by hyperdeterminants and independent from basis change. In particular, a family of d^2 invariants for arbitrary d-dimensional even partite mixed states are explicitly given.
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