A simple class of bound entangled states based on the properties of the antisymmetric subspace

Abstract

We provide a simple construction of bipartite entangled states that are positive under partial transposition, and hence undistillable. The construction makes use of the properties of the projectors onto the symmetric and antisymmetric subspaces of the Hilbert space of two identical systems. The resulting states can be considered as generalizations of the celebrated Werner states.

5 pages, fixed typos, close to version accepted in Phys. Rev. A., comments still welcome

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Cited by in corpus (9)

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• Measurement of Identical Particle Entanglement and the Influence of Antisymmetrisation
• Construction of noisy bound entangled states and the range criterion
• A class of genuinely high-dimensionally entangled states with a positive partial transpose
• Preparation of bipartite bound entangled Gaussian states in quantum optics
• Bipartite Bound Entanglement
• Investigating bound entangled two-qutrit states via the best separable approximation
• Schmidt rank constraints in Quantum Information Theory
• Bound entanglement in symmetric random induced states