A Note on State Decomposition Independent Local Invariants
arXiv:1307.6037 · doi:10.1140/epjd/e2013-40068-7
Abstract
We derive a set of invariants under local unitary transformations for arbitrary dimensional quantum systems. These invariants are given by hyperdeterminants and independent from the detailed pure state decompositions of a given quantum state. They also give rise to necessary conditions for the equivalence of quantum states under local unitary transformations.
References in corpus (5)
- Local unitary equivalence and entanglement of multipartite pure states
- Polynomial invariants for discrimination and classification of four-qubit entanglement
- Local Unitary Classification of Arbitrary Dimensional Multipartite Pure States
- Local Unitary Equivalence of Arbitrary Dimensional Bipartite Mixed Quantum States
- A Note on Equivalence of Bipartite States under Local Unitary Transformations