Observables in Relativistic Quantum Mechanics

Abstract

We propose a quantum clock synchronization protocol in which Bob makes a remote measurement on Alice's quantum clock via a third qubit acting as its proxy. It is shown that the resulting correlations are dependent on the choice of the hypersurface along which Bob's measurement of the proxy is deemed to collapse the entangled state vector. A proper characterization of observables in relativistic quantum mechanics is therefore constrained by relativistic covariance as well as causality.