Simulation of non-Pauli Channels

Abstract

We consider the simulation of a quantum channel by two parties who share a resource state and may apply local operations assisted by classical communication (LOCC). One specific type of such LOCC is standard teleportation, which is however limited to the simulation of Pauli channels. Here we show how we can easily enlarge this class by means of a minimal perturbation of the teleportation protocol, where we introduce noise in the classical communication channel between the remote parties. By adopting this noisy protocol, we provide a necessary condition for simulating a non-Pauli channel. In particular, we characterize the set of channels that are generated assuming the Choi matrix of an amplitude damping channel as a resource state. Within this set, we identify a class of Pauli-damping channels for which we bound the two-way quantum and private capacities.

Minor typos corrected

References in corpus (7)

• Quantum Illumination with Gaussian States
• A No-Go Theorem for Gaussian Quantum Error Correction
• Direct and Reverse Secret-Key Capacities of a Quantum Channel
• Asymptotic teleportation scheme as a universal programmable quantum processor
• Quantum Teleportation with Continuous Variables: a survey
• Ultrafast Fault-Tolerant Long-Distance Quantum Communication with Static Linear Optics
• Computing the distance between quantum channels: Usefulness of the Fano representation

Cited by in corpus (4)

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• Versatile relative entropy bounds for quantum networks
• Adaptive estimation and discrimination of Holevo-Werner channels
• The Role of Entanglement in Quantum Communication, and Analysis of the Detection Loophole