Quantum

The Generalized BEADS Representation: An Informationally Complete Visualization of Mixed Quantum States

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Briefings

A new BEADS representation extends to mixed quantum states using spherical functions and recursive optimization to decompose correlations into classical, genuine entanglement, and nonclassical discord components. The study applies this framework to N-qubit states, enabling visualization of entanglement distillation and noise effects. Results are presented for product, separable, and entangled state classes, with specific examples of entanglement distillation and noise channel impacts.

Key points

• The generalized BEADS representation introduces spherical functions and a recursive optimization scheme to decompose mixed quantum states into components corresponding to classical correlations, genuine n-partite entanglement, and nonclassical quantum-discord-type correlations.
• The method was applied to various classes of mixed states including product states, separable states, and entangled states, with specific applications demonstrated in entanglement distillation and the effects of noise channels.

Context and limitations

The study focuses on N-qubit states and examines specific correlation decomposition types; results are limited to the classes of mixed states explicitly tested, including product, classically correlated, separable, and entangled states.

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