A No-summoning theorem in Relativistic Quantum Theory
Abstract
Alice gives Bob an unknown localized physical state at some point P. At some point Q in the causal future of P, Alice will ask Bob for the state back. Bob knows this, but does not know at which point Q until the request is made. Bob can satisfy Alice's summons, with arbitrarily short delay, for a quantum state in Galilean space-time or a classical state in Minkowski space-time. However, given an unknown quantum state in Minkowski space-time, he cannot generally fulfil her summons. This {\it no-summoning theorem} is a fundamental feature of, and intrinsic to, relativistic quantum theory. It follows from the no-signalling principle and the no-cloning theorem, but not from either alone.
Cite
@article{arxiv.1101.4612,
title = {A No-summoning theorem in Relativistic Quantum Theory},
author = {Adrian Kent},
journal= {arXiv preprint arXiv:1101.4612},
year = {2013}
}
Comments
Tiny typos corrected. Titles added to some references. To appear in Quantum Information Processing