Linear-optics realization of channels for single-photon multimode qudits

Abstract

We propose and theoretically study a method for the stochastic realization of arbitrary quantum channels on multimode single-photon qudits. In order for our method to be undemanding in its implementation, we restrict our analysis to linear-optical techniques, vacuum ancillary states and non-adaptive schemes, but we allow for random switching between different optical networks. With our method it is possible to deterministically implement random-unitary channels and to stochastically implement general, non-unital channels. We provide an expression for the optimal probability of success of our scheme and calculate this quantity for specific examples like the qubit amplitude-damping channel. The success probability is shown to be related to the entanglement properties of the Choi-Jamiolkowski state isomorphic to the channel.

12 pages, 4 figures, comments welcome

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• Experimental quantum teleportation
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• Optimal linear optical implementation of a single-qubit damping channel
• Experimental investigation of Markovian and non-Markovian channel addition
• Quantum and classical resources for unitary design of open-system evolutions
• Experimental demonstration of a measurement-based realisation of a quantum channel
• Quantum circuit simulation of superchannels
• Experimental simulation of quantum superchannels