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Amendable Gaussian channels: Restoring entanglement via a unitary filter

2013/03/31 by Antonella De Pasquale, A. De Pasquale, A. Mari +4
Computer Science · Mathematics · Physics and Astronomy · #Amplitude damping channel #Combinatorics #Gaussian #Mathematics #Orbital Angular Momentum in Optics #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum channel #Quantum discord #Quantum entanglement #Quantum mechanics #Statistical physics #Topology (electrical circuits) #Transformation (genetics) #Unitary state #Unitary transformation #quant-ph

paper · pdf · doi:10.1103/physreva.87.062307

published as Phys. Rev. A 87, 062307 (2013) · 9 pages, 6 figures

openalex publication_date 2013/06/07 · arxiv created 2013/07/15 · arxiv updated 2013/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show that there exist Gaussian channels which are amendable. A channel that is entanglement-breaking of order 2 [A. De Pasquale and V. Giovannetti, Phys. Rev. A 86, 052302 (2012)] is amendable if there exists an unitary filter that, once applied in between two actions of the channel, removes the entanglement-breaking property of the overall transformation. We find that, depending on the structure of the channel, the unitary filter can be a squeezing transformation or a phase-shift operation. We also propose two realistic quantum optics experiments where the amendability of Gaussian channels can be verified by exploiting the fact that it is sufficient to test the entanglement-breaking properties of two-mode Gaussian channels on input states with finite energy (which are not maximally entangled).

Citations