Quantum Energy Teleportation versus Information Teleportation
arXiv:2405.13886 · doi:10.22331/q-2024-12-12-1564
Abstract
Quantum energy teleportation (QET) is the phenomenon in which locally inaccessible energy is activated as extractable work through collaborative local operations and classical communication (LOCC) with an entangled partner. It closely resembles the more well-known quantum information teleportation (QIT) where quantum information can be sent through an entangled pair with LOCC. It is tempting to ask how QET is related to QIT. Here we report a first study of this connection. Despite the apparent similarity, we show that these two phenomena are not only distinct but moreover are mutually competitive. We show a perturbative trade-off relation between their performance in a thermal entangled chaotic many-body system, in which both QET and QIT are simultaneously implemented through a traversable wormhole in an emergent spacetime. Motivated by this example, we study a generic setup of two entangled qudits and prove a universal non-perturbative trade-off bound. It shows that for any teleportation protocol, the overall performance of QET and QIT together is constrained by the entanglement resource. We discuss some explanations of our results.
5+7 pages, 3 figures. Comments are welcome; v2 minor changes, published version
References in corpus (41)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Experimental quantum teleportation
- Mixed State Entanglement and Quantum Error Correction
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Entanglement of a Pair of Quantum Bits
- Comments on the Sachdev-Ye-Kitaev model
- Experimental Realization of Teleporting an Unknown Pure Quantum State via Dual Classical and Einstein-Podolski-Rosen Channels
- Eternal Black Holes in AdS
- Generalized gravitational entropy
- Quantum corrections to holographic entanglement entropy
- A simple formula for the average gate fidelity of a quantum dynamical operation
- Extractable work from ensembles of quantum batteries. Entanglement helps
- Maximal work extraction from quantum systems
- Traversable Wormholes via a Double Trace Deformation
- Min- and Max- Relative Entropies and a New Entanglement Monotone
- Relative Entropy and Holography
- Diving into traversable wormholes
- The asymptotic entanglement cost of preparing a quantum state
- Quantum Information Processing with Finite Resources -- Mathematical Foundations
- A Sharp Fannes-type Inequality for the von Neumann Entropy
- A Fully Quantum Asymptotic Equipartition Property
- Relative entropy and the Bekenstein bound
- Eternal traversable wormhole
- Quantum Measurement Information as a key to Energy Release from Local Vacuums
- Notes on Spacetime Thermodynamics and the Observer-dependence of Entropy
- Quantum Energy Teleportation in Spin Chain Systems
- Quantum Energy Teleportation without Limit of Distance
- Teleportation Through the Wormhole
- A Protocol for Quantum Energy Distribution
- Many-body quantum teleportation via operator spreading in the traversable wormhole protocol
- Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes
- Quantum Gravity in the Lab: Teleportation by Size and Traversable Wormholes, Part II
- Energy-Entanglement Relation for Quantum Energy Teleportation
- Experimental Activation of Strong Local Passive States with Quantum Information
- Demonstration of Quantum Energy Teleportation on Superconducting Quantum Hardware
- Universal Limit on Communication
- A few words on Entropy, Thermodynamics, and Horizons
- Size Winding Mechanism beyond Maximal Chaos
- Fidelity of Wormhole Teleportation in Finite-qubit Systems
- The Channel Capacity of a Relativistic String