Teleportation seen from space-time

Abstract

Formal similarity between Minkowski tetrads and Bell bases allows to think of metric tensors in terms of quantum teleportation protocols. The role of null tetrads for quantum information processing is different. They define qubits resistant to a special kind of noise that occurs if coding and decoding of quantum information is performed in different reference frames. These examples show that mutual links between quantum information and the 2-spinor calculus may be nontrivial and worthy of further studies.

v1 is a preliminary progress report; in v2 notation in eq. (24) corrected, and a comment on (24) added. Typos in (3), (16), (39) corrected. v3 is extended by sections on relativistic qubits and PND's, and fuller bibliography of the subject; v4 is resubmitted to Class. Quant. Grav. with suggested modifications included

References in corpus (4)

• Quantum entropy and special relativity
• Einstein-Podolsky-Rosen-Bohm experiment with relativistic massive particles
• Relativistic BB84, relativistic errors, and how to correct them
• Comment on "Quantum entropy and special relativity" [by A. Peres, P. F. Scudo, and D. R. Terno, Phys. Rev. Lett. 88, 230402 (2002)]

Cited by in corpus (6)

• Two-spinors, oscillator algebras, and qubits: Aspects of manifestly covariant approach to relativistic quantum information
• A loophole of all `loophole-free' Bell-type theorems
• Space-time qubits
• Teleportation of geometric structures in 3D
• Relativistic entanglement in single-particle quantum states using Non-Linear entanglement witnesses
• Hidden tensor structures