Trade-off between complexity and energy in quantum phase estimation

• URL: http://arxiv.org/abs/2511.05458v1
• Date: Fri, 07 Nov 2025 18:00:17 GMT
• Title: Trade-off between complexity and energy in quantum phase estimation
• Authors: Yukuan Tao, Madalin Guta, Gerardo Adesso,
• Abstract summary: We study a sequential quantum phase estimation protocol, where a phase of physical significance is encoded in a quantum channel.<n>We establish a trade-off relation between the implementation energy of the channel and the number of times it is applied.<n>The principles of our analysis can be adapted to optimise the energy consumption in other quantum protocols and devices.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Driven by the desire to make quantum technologies more sustainable, in this work we introduce a framework for analysing the interplay between complexity and energy cost of quantum procedures. In particular, we study 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 repetitively until the probe is measured and the outcome leads to an estimate on the phase. We establish a trade-off relation between the implementation energy of the channel and the number of times it is applied (complexity), while reaching a desired estimation precision. The principles of our analysis can be adapted to optimise the energy consumption in other quantum protocols and devices.

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