A general dichotomization procedure to provide qudits entanglement criteria

Abstract

We present a general strategy to derive entanglement criteria which consists in performing a mapping from qudits to qubits that preserves the separability of the parties and SU(2) rotational invariance. Consequently, it is possible to apply the well known positive partial transpose criterion to reveal the existence of quantum correlations between qudits. We discuss some examples of entangled states that are detected using the proposed strategy. Finally, we demonstrate, using our scheme, how some variance-based entanglement witnesses can be generalized from qubits to higher dimensional spin systems.

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• The state space for two qutrits has a phase space structure in its core
• Spin squeezing and entanglement for arbitrary spin
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Cited by in corpus (4)

• Spin-entanglement wave in a coarse-grained optical lattice
• Generalized spin squeezing inequalities for particles number with quantum fluctuations
• Quantum state inference from coarse-grained descriptions: analysis and an application to quantum thermodynamics
• Detecting quantum many-body states with imperfect measuring devices