Private information via the Unruh effect

In a relativistic theory of quantum information, the possible presence of horizons is a complicating feature placing restrictions on the transmission and retrieval of information. We consider two inertial participants communicating via a noiseless qubit channel in the presence of a uniformly accelerated eavesdropper. Owing to the Unruh effect, the eavesdropper's view of any encoded information is noisy, a feature the two inertial participants can exploit to achieve perfectly secure quantum communication. We show that the associated private quantum capacity is equal to the entanglement-assisted quantum capacity for the channel to the eavesdropper's environment, which we evaluate for all accelerations.

[1]  Igor Devetak The private classical capacity and quantum capacity of a quantum channel , 2005, IEEE Transactions on Information Theory.

[2]  V. Mukhanov,et al.  Introduction to Quantum Effects in Gravity , 2007 .

[3]  Peter W. Shor,et al.  Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem , 2001, IEEE Trans. Inf. Theory.

[4]  Christoph Adami,et al.  Quantum entanglement of moving bodies. , 2002, Physical review letters.

[5]  P. Caban,et al.  Lorentz-covariant reduced spin density matrix and Einstein-Podolsky-Rosen-Bohm correlations , 2005 .

[6]  Susskind,et al.  The stretched horizon and black hole complementarity. , 1993, Physical review. D, Particles and fields.

[7]  R. Wald Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics , 1994 .

[8]  Thierry Paul,et al.  Quantum computation and quantum information , 2007, Mathematical Structures in Computer Science.

[9]  Adrian Kent,et al.  Unconditionally Secure Bit Commitment , 1998, quant-ph/9810068.

[10]  John A. Smolin,et al.  Entanglement of assistance and multipartite state distillation , 2005 .

[11]  R. Mann,et al.  Alice falls into a black hole: entanglement in noninertial frames. , 2004, Physical review letters.

[12]  M. Fannes,et al.  Continuity of quantum mutual information , 2003 .

[13]  G J Milburn,et al.  Teleportation with a uniformly accelerated partner. , 2003, Physical review letters.

[14]  P. Hayden,et al.  Black holes as mirrors: Quantum information in random subsystems , 2007, 0708.4025.

[15]  Atsushi Higuchi,et al.  The Unruh effect and its applications , 2007, 0710.5373.

[16]  Marek Czachor,et al.  Relativistic Bennett-Brassard cryptographic scheme, relativistic errors, and how to correct them , 2003 .

[17]  Daniel R. Terno,et al.  Quantum Information and Relativity Theory , 2002, quant-ph/0212023.

[18]  Müller,et al.  Localized discussion of stimulated processes for Rindler observers and accelerated detectors. , 1994, Physical review. D, Particles and fields.

[19]  Doyeol Ahn,et al.  Relativistic entanglement and Bell’s inequality , 2003 .

[20]  Kamil Bradler Eavesdropping of quantum communication from a noninertial frame , 2007 .

[21]  W. Unruh Notes on black-hole evaporation , 1976 .

[22]  Michal Horodecki,et al.  A Decoupling Approach to the Quantum Capacity , 2007, Open Syst. Inf. Dyn..

[23]  Holger Boche,et al.  On Quantum Capacity of Compound Channels , 2008, ArXiv.