Tomographic portrait of quantum channels. (English) Zbl 1402.81101
Summary: We formulate the notion of quantum channels in the framework of quantum tomography and address there the issue of whether such maps can be regarded as classical stochastic maps. In particular, kernels of maps acting on probability representation of quantum states are derived for qubit and bosonic systems. In the latter case it results that a single mode Gaussian quantum channel corresponds to non-Gaussian classical channels.
MSC:
| 81P70 | Quantum coding (general) |
| 81P50 | Quantum state estimation, approximate cloning |
| 81P45 | Quantum information, communication, networks (quantum-theoretic aspects) |
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