Absolutely classical spin states

Abstract

We introduce the concept of "absolutely classical" spin states, in analogy to absolutely separable states of bi-partite quantum systems. Absolutely classical states are states that remain classical under any unitary transformation applied to them. We investigate the maximum ball of absolutely classical states centered on the fully mixed state that can be inscribed into the set of classical states, and derive a lower bound for its radius as function of the total spin quantum number. The result is compared to the case of absolutely separable states.

6 pages, 1 figure

References in corpus (3)

• Superdense coding of quantum states
• Multiqubit symmetric states with high geometric entanglement
• Partial transpose criteria for symmetric states

Cited by in corpus (8)

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• Absolute separability witnesses for symmetric multiqubit states
• Maximum entanglement of mixed symmetric states under unitary transformations
• Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace
• Sufficient criteria for absolute separability in arbitrary dimensions via linear map inverses
• Quantifying Causal Influence in Quantum Mechanics
• Polytopes of Absolutely Wigner Bounded Spin States
• Quantum channels and some absolute properties of quantum states