Teleportation of quantum coherence
Sohail, Arun K Pati, Vijeth Aradhya, Indranil Chakrabarty, Subhasree, Patro

TL;DR
This paper explores the conditions under which quantum coherence can be teleported using classical communication and entangled states, revealing that partial knowledge and certain shared states enable coherence teleportation even without entanglement.
Contribution
It introduces a protocol for teleporting quantum coherence with limited classical communication and analyzes the role of entanglement and partial knowledge in this process.
Findings
Perfect coherence teleportation with one cbit for partially known states
Coherence teleportation possible with non-maximally entangled states probabilistically
Coherence can be teleported without entanglement using Werner states
Abstract
We investigate whether it is possible to teleport the coherence of an unknown quantum state from Alice to Bob by communicating a lesser number of classical bits in comparison to what is required for teleporting an unknown quantum state. We find that we cannot achieve perfect teleportation of coherence with one bit of classical communication for an arbitrary qubit. However, we find that if the qubit is partially known, i.e., chosen from the equatorial and polar circles of the Bloch sphere, then teleportation of coherence is possible with the transfer of one cbit of information when we have maximally entangled states as a shared resource. In the case of the resource being a non-maximally entangled state, we can teleport the coherence with a certain probability of success. In a general teleportation protocol for coherence, we derive a compact formula for the final state at Bob's lab in…
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Taxonomy
TopicsQuantum Information and Cryptography · Molecular Communication and Nanonetworks · Quantum Mechanics and Applications
