How much does it cost to teleport?
H. F. Chau, H.-K. Lo (IAS, Princeton)

TL;DR
This paper establishes that the entanglement entropy of a shared quantum state determines its capacity to teleport unknown quantum states, linking teleportation fidelity to entanglement measures.
Contribution
It demonstrates that the entropy of entanglement sets a fundamental limit on teleportation capacity and offers an alternative interpretation of entanglement purification.
Findings
Entanglement entropy must be at least log2 N for faithful teleportation of an N-state.
Maximum teleportation capacity of a mixed state equals its distillable entanglement entropy.
Provides a new perspective on entanglement purification as a measure of teleportation ability.
Abstract
We show that the entropy of entanglement of a state characterizes its ability to teleport. In particular, in order to teleport faithfully an unknown quantum -state, the two users must share an entangled state with at least bits entropy of entanglement. We also note that the maximum capacity for a mixed state to teleport equals the maximum amount of entanglement entropy that can be distilled out from . Our result, therefore, provides an alternative interpretation for entanglement purification.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum Mechanics and Applications
