A deterministic algorithm prepares arbitrary multi-qudit states in a definite-weight subspace via Gray-code ordering of multiset permutations, reducing preparation to controlled 2-qudit Gray rotations, and is demonstrated on Bethe states of the SU(3) Heisenberg model and SU(d) Dicke states.
Geometric measure of entanglement and applications to bipartite and multipartite quantum states
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abstract
The degree to which a pure quantum state is entangled can be characterized by the distance or angle to the nearest unentangled state. This geometric measure of entanglement, already present in a number of settings (see Shimony 1995 and Barnum and Linden 2001), is explored for bipartite and multipartite pure and mixed states. The measure is determined analytically for arbitrary two-qubit mixed states and for generalized Werner and isotropic states, and is also applied to certain multipartite mixed states. In particular, a detailed analysis is given for arbitrary mixtures of three-qubit GHZ, W and inverted-W states. Along the way, we point out connections of the geometric measure of entanglement with entanglement witnesses and with the Hartree approximation method.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Variational minimization of the squared Hamiltonian constraint in a truncated one-vertex loop gravity model yields three classes of near-kernel states; one factorized branch matches reduced Thiemann coherent states with high fidelity.
citing papers explorer
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Preparing multi-qudit states in a definite-weight subspace
A deterministic algorithm prepares arbitrary multi-qudit states in a definite-weight subspace via Gray-code ordering of multiset permutations, reducing preparation to controlled 2-qudit Gray rotations, and is demonstrated on Bethe states of the SU(3) Heisenberg model and SU(d) Dicke states.
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Emergent Thiemann coherent states in the near-kernel sector of quantum reduced loop gravity
Variational minimization of the squared Hamiltonian constraint in a truncated one-vertex loop gravity model yields three classes of near-kernel states; one factorized branch matches reduced Thiemann coherent states with high fidelity.