Multi-partite $W-$type state is determined by its single particle reduced density matrices

Abstract

In this short note, we show that multi-partite $W$-type state is up to local unitaries uniquely determined by its reduced density matrices.

Comments are welcome

References in corpus (3)

• Multi-party entanglement in graph states
• N-Qubit W States are Determined by their Bipartite Marginals
• When is a pure state of three qubits determined by its single-particle reduced density matrices?

Cited by in corpus (7)

• Obtain $W$-state from three-qubit $GHZ$-state on rate 1
• Separability of Bosonic Systems
• When is a pure state of three qubits determined by its single-particle reduced density matrices?
• Self-testing using only marginal information
• Quantum Earth mover's distance, No-go Quantum Kantorovich-Rubinstein theorem, and Quantum Marginal Problem
• Universal and distorsion-free entanglement concentration of multiqubit quantum states in the W class
• Characterization of multipartite entanglement in terms of local transformations