Passive environment-assisted quantum communication with GKP states

• URL: http://arxiv.org/abs/2401.16781v2
• Date: Sat, 12 Apr 2025 23:49:24 GMT
• Title: Passive environment-assisted quantum communication with GKP states
• Authors: Zhaoyou Wang, Liang Jiang,
• Abstract summary: Bosonic pure-loss channel has zero quantum capacity when the channel's transmissivity is less than 50%.<n>We show that by choosing the ideal Gottesman-Kitaev-Preskill (GKP) states for the system and its environment, perfect transmission of quantum information through a beam splitter is achievable at arbitrarily low transmissivities.
• Score: 2.165197150310128
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Bosonic pure-loss channel, which represents the process of photons decaying into a vacuum environment, has zero quantum capacity when the channel's transmissivity is less than 50%. Modeled as a beam splitter interaction between the system and its environment, the performance of bosonic pure-loss channel can be enhanced by controlling the environment state. We show that by choosing the ideal Gottesman-Kitaev-Preskill (GKP) states for the system and its environment, perfect transmission of quantum information through a beam splitter is achievable at arbitrarily low transmissivities. Our explicit constructions allow for experimental demonstration of the improved performance of a quantum channel through passive environment assistance, which is potentially useful for quantum transduction where the environment state can be naturally controlled. In practice, it is crucial to consider finite-energy constraints, and high-fidelity quantum communication through a beam splitter remains achievable with GKP states at the few-photon level.

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