Quantum steganography with noisy quantum channels

Bilal A. Shaw and Todd A. Brun
Phys. Rev. A 83, 022310 – Published 14 February 2011

Abstract

Steganography is the technique of hiding secret information by embedding it in a seemingly “innocent” message. We present protocols for hiding quantum information by disguising it as noise in a codeword of a quantum error-correcting code. The sender (Alice) swaps quantum information into the codeword and applies a random choice of unitary operation, drawing on a secret random key she shares with the receiver (Bob). Using the key, Bob can retrieve the information, but an eavesdropper (Eve) with the power to monitor the channel, but without the secret key, cannot distinguish the message from channel noise. We consider two types of protocols: one in which the hidden quantum information is stored locally in the codeword, and another in which it is embedded in the space of error syndromes. We analyze how difficult it is for Eve to detect the presence of secret messages, and estimate rates of steganographic communication and secret key consumption for specific protocols and examples of error channels. We consider both the case where there is no actual noise in the channel (so that all errors in the codeword result from the deliberate actions of Alice), and the case where the channel is noisy and not controlled by Alice and Bob.

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  • Received 10 November 2010

DOI:https://doi.org/10.1103/PhysRevA.83.022310

©2011 American Physical Society

Authors & Affiliations

Bilal A. Shaw1,2,* and Todd A. Brun1,2,3,4,†

  • 1Department of Computer Science, University of Southern California, Los Angeles, California 90089, USA
  • 2Center for Quantum Information Science and Technology, University of Southern California, Los Angeles, California 90089, USA
  • 3Department of Electrical Engineering, University of Southern California, Los Angeles, California 90089, USA
  • 4Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089, USA

  • *bilalsha@usc.edu
  • tbrun@usc.edu

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Issue

Vol. 83, Iss. 2 — February 2011

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