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Physical Review A

Strong quantum energy teleportation

Hao Fan, Feng-Lin Wu, Lu Wang, Shu-Qian Liu, S.Y. Liu

Published Nov 18, 2024• 9 citations
Publisher

Abstract

Quantum energy teleportation (QET) is an energy extraction protocol via local operation and classical communication (LOCC). In this paper, we analyze QET with the correlation matrix and find the essence of QET is a quantum steering process. We propose an extended QET called strong QET protocol and define the QET passive state, which shows that quantum correlation is not a sufficient condition for QET. We also compare QET in noisy channels with direct energy extraction schemes, which indicates the advantage of our method in dealing with quantum operations. Furthermore, we extend the method to the $N$-qubit QET and give numerical examples.

DOI
10.1103/physreva.110.052424

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Quantum energy teleportation (QET) is an energy extraction protocol via local operation and classical communication (LOCC). In this paper, we analyze QET with the correlation matrix and find the essence of QET is a quantum steering process. We propose an extended QET called strong QET protocol and define the QET passive state, which shows that quantum correlation is not a sufficient condition for QET. We also compare QET in noisy channels with direct energy extraction schemes, which indicates the advantage of our method in dealing with quantum operations. Furthermore, we extend the method to the NNN-qubit QET and give numerical examples.
Like quantum state teleportation, quantum energy teleportation (QET) can transmit energy through local operation and classical communication. This QET process even can extract energy from a strong local passive (SLP) state, from which any local operation can only inject energy. However, finding a SLP state is an important open question. In this paper, in the Hamiltonian of the minimal QET model, we obtain a set of SLP pure states by correlation matrix analysis. Our method is computable and easier to understand in certain Hamiltonians and states. Through the method of mathematic programming, we find an amazing phenomenon in which the energy teleportation efficiency can be greater than 1 and we reveal the essence of this phenomenon. It can be extended to the mixed state and spin chain model. Our result shows that quantum steering plays an important role in the QET protocol.
In this work, we explore quantum energy teleportation (QET) protocols, focusing on their behavior at finite temperatures , in ground and excited states. We analyze the role of entanglement as a resource for QET, particularly in thermal states, and compare the performance of QET across these initial states. We then introduce a method to extract ground-state energy through a protocol that employs only quantum measurements, local operations, and classical communication (LOCC), without requiring the ground state to be quantum correlated either through entanglement or quantum discord. To illustrate this, we propose a minimal model comprising two interacting qubits. These findings indicate that, in addition to the established QET framework where quantum correlation serves as a resource, it is possible to extract energy from an product ground state. This broadens the scope of QET's applicability across diverse quantum systems.
Quantum energy teleportation (QET) has been proposed to overcome the restrictions of strong local passivity (SLP) and to facilitate energy transfer in quantum systems. Traditionally, QET has only been considered under strict constraints, including the requirements that the initial state be the ground state of an interacting Hamiltonian, that Alice's measurement commute with the interaction terms, and that entanglement be present. These constraints have significantly limited the broader applicability of QET protocols. In this work, we demonstrate that SLP can arise beyond these conventional constraints, establishing the necessity of QET in a wider range of scenarios for local energy extraction. This leads to a more flexible and generalized framework for QET. Furthermore, we introduce the concept of a "local effective Hamiltonian," which eliminates the need for optimization techniques in determining Bob's optimal energy extraction in QET protocols. As an additional advantage, the amount of energy that can be extracted using our new protocol is amplified to be 7.2 times higher than that of the original protocol. These advancements enhance our understanding of QET and extend its broader applications to quantum technologies. To support our findings, we implement the protocol on quantum hardware, confirming its theoretical validity and experimental feasibility.
Quantum Energy Teleportation (QET) exploits quantum entanglement and local operations with classical communication (LOCC) to transfer energy between distant locations without physically transporting the energy carrier. Previous demonstrations on superconducting hardware employed a two-qubit architecture and achieved a work extraction efficiency of approximately 11.7%. In this work, we propose a three-qubit QET protocol based on a novel Ising-model Hamiltonian satisfying the zero-mean-energy condition and the commutation and anti-commutation constraints required for QET. We investigate two complementary protocols. In the Single-Input Multiple-Output (SIMO) configuration, a single sender injects energy while two receivers jointly extract negative energy. Retaining all interaction terms, including the inter-receiver coupling, yields an honest work extraction efficiency of approximately 8--10%, comparable to the two-qubit implementation while distributing the extracted energy across two receivers. In the Multiple-Input Single-Output (MISO) configuration, two senders jointly inject energy through a single entangle-then-measure operation, and one receiver extracts the teleported energy. After subtracting the energy deposited directly into the receiver by the entangling operation, the net teleportation efficiency reaches 34--42%, substantially exceeding the two-qubit protocol while remaining consistent with energy conservation. These results show that extending QET to a three-qubit many-body system can significantly improve teleportation efficiency and provide a framework for studying energy transport, negative-energy distributions, and more complex quantum many-body dynamics.
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.
Quantum energy teleportation (QET) is a protocol that unlocks the extraction of local energy and has been thought to fundamentally require classical communication (CC), since Bob must normally learn Alice's measurement outcome to perform the proper conditional operation (CO).In this work, we demonstrate that CC itself can be removed for the purpose of QET: When Bob's local operation is implemented through a weak coupling to an auxiliary qubit, the interaction naturally adapts to Alice's post-measurement state, thereby realizing the necessary CO without any classical message.This establishes a CC-free form of QET, which broadens its conceptual scope and suggests practical applications such as indirect external control for charging of quantum batteries.