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math-ph2015★ 7 cited
Thresholds for reduction-related entanglement criteria in quantum information theory
Maria Anastasia Jivulescu, Nicolae Lupa, Ion Nechita
We consider random bipartite quantum states obtained by tracing out one subsystem from a random, uniformly distributed, tripartite pure quantum state. We compute thresholds for the…
math-ph2014★ 10 cited
On the reduction criterion for random quantum states
Maria Anastasia Jivulescu, Nicolae Lupa, Ion Nechita
In this paper we study the reduction criterion for detecting entanglement of large dimensional bipartite quantum systems. We first obtain an explicit formula for the moments of a r…