Trade-off between complexity and energy in quantum phase estimation

Fuente: arXiv
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Main Authors: Tao, Yukuan, Guta, Madalin, Adesso, Gerardo
Format: Preprint
Published: 2025
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author Tao, Yukuan
Guta, Madalin
Adesso, Gerardo
author_facet Tao, Yukuan
Guta, Madalin
Adesso, Gerardo
contents Quantifying the energetic cost of implementing quantum operations is essential for assessing the efficiency and scalability of quantum sensing and information-processing technologies. Here, we introduce a framework for analysing the interplay between complexity and energy cost of quantum processes. In particular, we apply our framework to a sequential quantum phase estimation protocol, where a phase of physical significance is encoded in a quantum channel. The channel is applied to a probe state repeatedly until the probe is measured and the outcome leads to an estimate on the phase. We establish a trade-off relation between the total energy cost of the protocol and the number of times the channel is applied (complexity), while reaching a desired estimation precision. A sweet spot is located where the two quantities are co-optimised. The principles of our analysis can be adapted to benchmark the energetic requirements in other quantum protocols and devices.
format Preprint
id arxiv_https___arxiv_org_abs_2511_05458
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Trade-off between complexity and energy in quantum phase estimation
Tao, Yukuan
Guta, Madalin
Adesso, Gerardo
Quantum Physics
Quantifying the energetic cost of implementing quantum operations is essential for assessing the efficiency and scalability of quantum sensing and information-processing technologies. Here, we introduce a framework for analysing the interplay between complexity and energy cost of quantum processes. In particular, we apply our framework to a sequential quantum phase estimation protocol, where a phase of physical significance is encoded in a quantum channel. The channel is applied to a probe state repeatedly until the probe is measured and the outcome leads to an estimate on the phase. We establish a trade-off relation between the total energy cost of the protocol and the number of times the channel is applied (complexity), while reaching a desired estimation precision. A sweet spot is located where the two quantities are co-optimised. The principles of our analysis can be adapted to benchmark the energetic requirements in other quantum protocols and devices.
title Trade-off between complexity and energy in quantum phase estimation
topic Quantum Physics
url https://arxiv.org/abs/2511.05458