Entanglement witnesses for $d\otimes d$ systems and new classes of entangled qudit states

Abstract

We provide a new class of entanglement witnesses for $d \ot d$ systems (two qudits). Our construction generalizes the one proposed recently by Jafarizadeh et al. for $d=3$ and $d=4$ on the basis of semidefinite linear programming. Moreover, we provide a new class of PPT entangled states detected by our witnesses which generalizes well known family of states constructed by Horodecki et al. for $d=3$.

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Cited by in corpus (4)

• Qudits for Witnessing Quantum Gravity Induced Entanglement of Masses Under Decoherence
• Tensor product extension of entanglement witnesses and their connection with measurement device independent entanglement
• Thermal entanglement of superconducting qubits for arbitrary interaction strength
• On correlations and mutual entropy in quantum composed systems