Teleportation transfers only speakable quantum information

Abstract

We show that a quantum clock cannot be teleported without prior synchronization between sender and receiver: every protocol using a finite amount of entanglement and an arbitrary number of rounds of classical communication will necessarily introduce an error in the teleported state of the clock. Nevertheless, we show that entanglement can be used to achieve synchronization with precision higher than any classical correlation allows, and we give the optimized strategy for this task. The same results hold also for arbitrary continuous quantum reference frames, which encode general unspeakable information,-information that cannot be encoded into a number, but instead requires a specific physical support, like a clock or a gyroscope, to be conveyed.

5 pages, no figures, published version

References in corpus (5)

• Reference frames, superselection rules, and quantum information
• The resource theory of quantum reference frames: manipulations and monotones
• Measuring the quality of a quantum reference frame: the relative entropy of frameness
• Classical and quantum communication without a shared reference frame
• Entanglement constrained by superselection rules

Cited by in corpus (11)

• Quantum Resource Theories
• Observable measure of quantum coherence in finite dimensional systems
• Resource theories of communication
• A new scheme for probabilistic teleportation and its potential applications
• Communicating without shared reference frames
• Simulating indefinite causal order with Rindler observers
• Identification of a reversible quantum gate: assessing the resources
• Perfect tight quantum teleportation without a shared reference frame
• Choi-Defined Resource Theories
• Tight Reference Frame--Independent Quantum Teleportation
• Quantum teleportation with infinite reference frame uncertainty and without prior alignment