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MiS Preprint

Inequalities Detecting Quantum Entanglement for $2\otimes d$ Systems

Ming-Jing Zhao, Teng Ma, Shao-Ming Fei and Zhi-Xi Wang


We present a set of inequalities for detecting quantum entanglement of $2\otimes d$ quantum states. For $2\otimes 2$ and $2\otimes 3$ systems, the inequalities give rise to sufficient and necessary separability conditions for both pure and mixed states. For the case of $d>3$, these inequalities are necessary conditions for separability, which detect all entangled states that are not positive under partial transposition and even some entangled states with positive partial transposition. These inequalities are given by mean values of local observables and present an experimental way of detecting the quantum entanglement of $2\otimes d$ quantum states and even multi-qubit pure states.

03.65.Ud, 03.67.Mn

Related publications

2011 Repository Open Access
Ming-Jing Zhao, Teng Ma, Shao-Ming Fei and Zhi-Xi Wang

Inequalities detecting quantum entanglement for \(2\otimes d\) systems

In: Physical review / A, 83 (2011) 5, p. 052120