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

Marco Piani, David Pitkanen, Rainer Kaltenbaek, and Norbert Lütkenhaus
Phys. Rev. A 84, 032304 – Published 6 September 2011

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 nonadaptive 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 channels. We provide an expression for the optimal probability of success of our scheme and calculate this quantity for specific examples such as the qubit amplitude-damping channel. The success probability is shown to be related to the entanglement properties of the Choi-Jamiołkowski state isomorphic to the channel.

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  • Received 28 February 2011

DOI:https://doi.org/10.1103/PhysRevA.84.032304

©2011 American Physical Society

Authors & Affiliations

Marco Piani1, David Pitkanen1, Rainer Kaltenbaek1,2, and Norbert Lütkenhaus1

  • 1Institute for Quantum Computing & Department of Physics and Astronomy, University of Waterloo, 200 University Avenue West, Waterloo, Ontario, Canada N2L 3G1
  • 2Vienna Center for Quantum Science and Technology, Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria

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Issue

Vol. 84, Iss. 3 — September 2011

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