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Experimental demonstration of information to energy conversion in a quantum system at the Landauer Limit (1412.6490v3)

Published 19 Dec 2014 in quant-ph

Abstract: Landauer's principle sets fundamental thermodynamical constraints for classical and quantum information processing, thus affecting not only various branches of physics, but also of computer science and engineering. Despite its importance, this principle was only recently experimentally considered for classical systems. Here we employ a nuclear magnetic resonance setup to experimentally address the information to energy conversion in a quantum system. Specifically, we consider a three nuclear spins $S=1/2$ (qubits) molecule ---the system, the reservoir and the ancilla--- to measure the heat dissipated during the implementation of a global system-reservoir unitary interaction that changes the information content of the system. By employing an interferometric technique we were able to reconstruct the heat distribution associated with the unitary interaction. Then, through quantum state tomography, we measured the relative change in the entropy of the system. In this way we were able to verify that an operation that changes the information content of the system must necessary generate heat in the reservoir, exactly as predicted by Landauer's principle. The scheme presented here allows for the detailed study of irreversible entropy production in quantum information processors.

Citations (102)

Summary

Experimental Demonstration of Information to Energy Conversion in a Quantum System at the Landauer Limit

This paper presents an experimental investigation into the application of Landauer's principle within a quantum system using nuclear magnetic resonance (NMR) technology. The paper focuses on demonstrating the conversion of information into energy, specifically examining how a change in information content within a quantum system necessitates heat generation in accordance with Landauer's principle. By validating this principle in a quantum context, the paper extends our understanding of thermodynamics in the field of quantum information processing.

Key Aspects of the Experiment

The authors employed a three-qubit NMR setup, where each qubit was represented by a nuclear spin-1/2 within a molecule of Trifluoroiodoethylene dissolved in acetone. The roles of these qubits were defined as the system, reservoir, and ancilla, facilitating the examination of heat dissipation when information is erased from the system. The paper's innovative use of an interferometric technique combined with quantum state tomography allowed for reconstructing the heat distribution linked to a global, unitary interaction between the system and reservoir.

Major Results

The experimental setups used two quantum operations, a Controlled-NOT (CNOT) gate and a partial SWAP gate, to explore the concept of information erasure. The researchers meticulously investigated the average heat dissipated during these operations by reconstructing the heat distribution and calculated the change in entropy through direct quantum state tomography.

The experimental findings showed that the average heat dissipation, in line with Landauer's principle, was indeed greater than or equal to the change in information entropy. Notably, this was verified across varying process intensities and temperatures of the reservoir. The results were consistent with theoretical expectations derived from the principle that irreversible computing processes at the quantum level dissipate heat.

Theoretical and Practical Implications

This research offers crucial experimental support to the theoretical underpinnings of quantum thermodynamics, showing that quantum systems adhere to the foundational principles governing classical computation and energy. Such evidence contributes to bridging the gap between classical and quantum realms, providing a pragmatic link through thermodynamic constraints applied to information theory.

The practical implications are profound, especially for the design and optimization of future quantum information processors. Understanding energy dissipation at this fundamental level could lead to more energy-efficient quantum computing frameworks, potentially revolutionizing computation modalities.

Future Directions

While the paper robustly validates Landauer's principle in a controlled quantum environment, there remains ample scope for further exploration. Future research may delve into other quantum operations and more complex qubit systems, elucidating nuanced behaviors of heat exchange and entropy in larger and more intricate quantum networks.

Additionally, integrating these findings with stochastic thermodynamics and exploring quantum fluctuation theorems could enhance our comprehension of non-equilibrium dynamics in quantum systems. Such insights are essential as we advance toward a technologically feasible quantum computing era.

In summary, this paper compellingly demonstrates the applicability of Landauer's principle to quantum systems, underscoring a key intersection between information theory and thermodynamics. It sets a foundation for advancing quantum computing technology, ensuring it evolves mindful of the intrinsic energy costs of information processing.

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