Teleportation in a non-inertial frame

In this work, we describe the process of teleportation between Alice in an inertial frame, and Rob who is in uniform acceleration with respect to Alice. The fidelity of the teleportation is reduced due to Davies-Unruh radiation in Rob's frame. In so far as teleportation is a measure of entanglement, our results suggest that quantum entanglement is degraded in non-inertial frames. We discuss this reduction in fidelity for both bosonic and fermionic resources.

[1]  The Phase of a Quantum Mechanical Particle in Curved Spacetime , 2000, gr-qc/0010065.

[2]  D. Deutsch,et al.  Fermion fields in accelerated states , 1978, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[3]  W. Greiner,et al.  Dirac particles in Rindler space , 1980 .

[4]  W. Unruh,et al.  What happens when an accelerating observer detects a Rindler particle , 1984 .

[5]  N. D. Birrell,et al.  Quantum fields in curved space , 2007 .

[6]  Mapping Hawking into Unruh thermal properties , 1998, hep-th/9809159.

[7]  D. Deutsch,et al.  On the vacuum stress induced by uniform acceleration or supporting the ether , 1977, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[8]  Torres,et al.  Dirac vacuum: Acceleration and external-field effects. , 1991, Physical review. D, Particles and fields.

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

[10]  R. Landauer Information is physical , 1991 .

[11]  S. Takagi Vacuum Noise and Stress Induced by Uniform Acceleration Hawking-Unruh Effect in Rindler Manifold of Arbitrary Dimension , 1986 .

[12]  Bautista Acceleration through the Dirac-Pauli vacuum and effects of an external field. , 1993, Physical review. D, Particles and fields.

[13]  J. Audretsch Trajectories and spin motion of massive spin-1/2 particles in gravitational fields , 1981 .

[14]  Charles H. Bennett,et al.  Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. , 1993, Physical review letters.

[15]  Asher Peres,et al.  Quantum entropy and special relativity. , 2002, Physical review letters.

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

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

[18]  S. Fulling,et al.  Nonuniqueness of Canonical Field Quantization in Riemannian Space-Time , 1973 .

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

[20]  Joachim Reinhardt,et al.  Quantum electrodynamics of strong fields , 1985 .

[21]  Decay of accelerated protons and the existence of the Fulling-Davies-Unruh effect. , 2001, Physical review letters.

[22]  C. Lämmerzahl,et al.  The Lense—Thirring Effect: From the Basic Notions to the Observed Effects , 2001 .

[23]  P. Davies Scalar production in Schwarzschild and Rindler metrics , 1975 .

[24]  Gerard J. Milburn,et al.  On entanglement and Lorentz transformations , 2002, Quantum Inf. Comput..

[25]  I. Chuang,et al.  Quantum Computation and Quantum Information: Bibliography , 2010 .