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The separability versus entanglement problem

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arxiv 1701.02187 v1 pith:23VZOWCO submitted 2017-01-09 quant-ph

classification quant-ph
keywords entangledentanglementstatesproblemquantumsomeaspectsclassification
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We present a review of the problem of finding out whether a quantum state of two or more parties is entangled or separable. After a formal definition of entangled states, we present a few criteria for identifying entangled states and introduce some entanglement measures. We also provide a classification of entangled states with respect to their usefulness in quantum dense coding, and present some aspects of multipartite entanglement.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Resource generation and dynamical complexities in open random quantum circuits

    quant-ph 2026-05 unverdicted novelty 6.0 of 10

    Memoryful open random quantum circuits sustain entanglement and magic growth like unitary circuits while memoryless ones show decaying entanglement but persistent magic, with memoryful dynamics approaching k-designs m...

  2. Disappearance of measurement-induced phase transition in a quantum spin system for large sizes

    quant-ph 2025-01 unverdicted novelty 5.0 of 10

    In this global-measurement Ising protocol the apparent measurement-induced transition at finite τ_c for L≈26-28 recedes to τ_c=0 in the large-L limit with scaling τ_c∼1/√L.

  3. Non-Markovian noise limits for sustaining entanglement in multiparty quantum states

    quant-ph 2025-01 reject novelty 5.0 of 10

    Non-Markovian dephasing and depolarizing noise can help GHZ and W states keep or revive entanglement, but the paper's predicted infinite-qubit survival for the one-versus-rest W cut is an extrapolation artifact.

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