Hamburg 2009 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 52: Quanteninformation: Quantenkommunikation II

Q 52.3: Talk

Thursday, March 5, 2009, 17:00–17:15, Audi-B

Quantum control of noisy channels — •Raffaele Romano and Peter van Loock — OQI Group, Max-Planck Research Group, Institute of Optics, Information and Photonics, University of Erlangen-Nuernberg

Title: Quantum control of noisy channels

Abstarct: We present a formalism that paves the way to the application of control theoretical tools to the analysis of noisy channels [1]. The control parameters are given by the resources available to sender and receiver, that is local operations and classical communication (LOCC), and entanglement shared among the two parties through their local ancillas. By using the Choi-Jamiolkowski isomorphism between completely positive maps and (non-normalized) states [2], we show how a noisy channel is manipulated by these controls, and provide some preliminary results based on this formalism. In particular, we prove that standard Quantum Teleportation is the only deterministic scheme that can perfectly correct an arbitrary noisy channel relying on a single use of the channel (that is, with one-way communication) [3]. Moreover, we discuss a hybrid protocol based on both Quantum Teleportation and Quantum Error Correction to faithfully transmit quantum states through specific noisy channels.

References:

[1] R. Romano, P. van Loock, arXiv:0811.3014

[2] A. Jamiolkowski, Rep. Math. Phys. 3, 275 (1972)

[3] R. Romano, P. van Loock, in preparation