Mark M Wilde 2009 J. Phys. A: Math. Theor. 42 325301 doi:10.1088/1751-8113/42/32/325301
Mark M Wilde
Show affiliationsA modified quantum teleportation protocol broadens the scope of the classical forbidden-interval theorems for stochastic resonance. The fidelity measures performance of quantum communication. The sender encodes the two classical bits for quantum teleportation as weak bipolar subthreshold signals and sends them over a noisy classical channel. Two forbidden-interval theorems provide a necessary and sufficient condition for the occurrence of the nonmonotone stochastic resonance effect in the fidelity of quantum teleportation. The condition is that the noise mean must fall outside a forbidden interval related to the detection threshold and signal value. An optimal amount of classical noise benefits quantum communication when the sender transmits weak signals, the receiver detects with a high threshold and the noise mean lies outside the forbidden interval. Theorems and simulations demonstrate that both finite-variance and infinite-variance noise benefit the fidelity of quantum teleportation.
03.67.Hk Quantum communication
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
03.67.Mn Entanglement measures, witnesses, and other characterizations
60G46 Martingales and classical analysis
60G35 Applications (signal detection, filtering, etc.) (See also 62M20, 93E10, 93E11, 94Axx)
81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)
94A17 Measures of information, entropy
81P20 Stochastic mechanics (including stochastic electrodynamics)
Issue 32 (14 August 2009)
Received 19 February 2009, in final form 22 April 2009
Published 21 July 2009
Mark M Wilde 2009 J. Phys. A: Math. Theor. 42 325301
Mark M Wilde and Bart Kosko 2009 J. Phys. A: Math. Theor. 42 465309
Helmut Friedrich 1996 Class. Quantum Grav. 13 1451
Peter Hübner 1999 Class. Quantum Grav. 16 2823
Siek Hyung et al. 1999 ApJ 514 878
Brian L. Rachford et al. 2001 ApJ 555 839
Theodore Simon and Wayne B. Landsman 1997 ApJ 483 435
Jaume Garriga et al JCAP01(2006)017
Don N Page 1998 Class. Quantum Grav. 15 1669
Reginald D Smith J. Stat. Mech. (2006) P02006