Quantum capacity of bosonic dephasing channel

• URL: http://arxiv.org/abs/2007.03897v4
• Date: Tue, 23 Mar 2021 12:32:16 GMT
• Title: Quantum capacity of bosonic dephasing channel
• Authors: Amir Arqand, Laleh Memarzadeh, Stefano Mancini
• Abstract summary: We study the quantum capacity of continuous variable dephasing channel, which is a notable example of non-Gaussian quantum channel. We consider input energy restriction and show that by increasing it, the capacity saturates to a finite value.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study the quantum capacity of continuous variable dephasing channel, which is a notable example of non-Gaussian quantum channel. We prove that a single letter formula applies. We then consider input energy restriction and show that by increasing it, the capacity saturates to a finite value. The optimal input state is found to be diagonal in the Fock basis and with a distribution that is a discrete version of a Gaussian. Relations between its mean/variance and dephasing rate/input energy are put forward. We also show that quantum capacity decays exponentially for large values of dephasing rates.

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