On detection of quasiclassical states

Abstract

We give a criterion of classicality for mixed states in terms of expectation values of a quantum observable. Using group representation theory we identify all cases when the criterion can be computed exactly in terms of the spectrum of a single operator.

15 pages, Some typos fixed, Theorem 2 supplemented by two originally missing cases, two references added

Cited by in corpus (10)

• Convexity of momentum map, Morse index, and quantum entanglement
• Symmetry criteria for quantum simulability of effective interactions
• Roughness as Classicality Indicator of a Quantum State
• Classical simulation of fermionic linear optics augmented with noisy ancillas
• Universal extensions of restricted classes of quantum operations
• A universal framework for entanglement detection
• Fraction of isospectral states exhibiting quantum correlations
• Classical simulation of non-Gaussian fermionic circuits
• Improved simulation of quantum circuits dominated by free fermionic operations
• Multipartite quantum correlations: symplectic and algebraic geometry approach