Recurrent construction of optimal entanglement witnesses for 2N-qubit systems Public Deposited

http://ir.library.oregonstate.edu/concern/articles/5138jg786

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  • We provide a recurrent construction of entanglement witnesses for a bipartite systems living in a Hilbert space corresponding to 2N qubits (N qubits in each subsystem). Our construction provides a method of generalization of the Robertson map that naturally meshes with 2N-qubit systems, i.e., its structure respects the 2[superscript 2N] growth of the state space. We prove that for N>1 these witnesses are indecomposable and optimal. As a byproduct we provide a family of PPT (Positive Partial Transpose) entangled states.
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  • Zwolak, J. P., & Chruściński, D. (2014). Recurrent construction of optimal entanglement witnesses for 2N-qubit systems. Physical Review A, 89(5), 052314. doi:10.1103/PhysRevA.89.052314
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