Fundamental energy cost for quantum measurement

Research output: Working paper/Preprint › Preprint

Authors

  • Kais Abdelkhalek
  • Yoshifumi Nakata
  • David Reeb

Research Organisations

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Details

Original languageEnglish
Publication statusE-pub ahead of print - 22 Sept 2016

Abstract

Measurements and feedback are essential in the control of any device operating at the quantum scale and exploiting the features of quantum physics. As the number of quantum components grows, it becomes imperative to consider the energetic expense of such elementary operations. Here, we derive energy requirements for general quantum measurement, extending previous models and obtaining stronger bounds in relevant situations, and then study two important classes of measurements in detail. One is the projective measurement, where we obtain the exact cost rather than a lower bound, and the other is the so-called inefficient measurement, in which we explicitly show that energy extraction is possible. As applications, we derive the energy-precision trade-off in quantum Zeno stabilisation schemes and the exact energy expense for quantum error correction. Our results constitute fundamental energetic limitations against which to benchmark implementations of future quantum devices as they grow in complexity.

Keywords

    quant-ph, cond-mat.stat-mech

Cite this

Fundamental energy cost for quantum measurement. / Abdelkhalek, Kais; Nakata, Yoshifumi; Reeb, David.
2016.

Research output: Working paper/Preprint › Preprint

Abdelkhalek, K., Nakata, Y., & Reeb, D. (2016). Fundamental energy cost for quantum measurement. Advance online publication. https://arxiv.org/abs/1609.06981
Abdelkhalek K, Nakata Y, Reeb D. Fundamental energy cost for quantum measurement. 2016 Sept 22. Epub 2016 Sept 22.
Abdelkhalek, Kais ; Nakata, Yoshifumi ; Reeb, David. / Fundamental energy cost for quantum measurement. 2016.
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