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Hybrid quantum-classical algorithms in the noisy intermediate-scale quantum era and beyond

Callison, Adam; Chancellor, Nicholas; (2022) Hybrid quantum-classical algorithms in the noisy intermediate-scale quantum era and beyond. Physical Review A: Atomic, Molecular and Optical Physics , 106 (1) , Article 010101. 10.1103/PhysRevA.106.010101. Green open access

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Abstract

Hybrid quantum-classical algorithms are central to much of the current research in quantum computing, particularly when considering the noisy intermediate-scale quantum (NISQ) era, with a number of experimental demonstrations having already been performed. In this perspective, we discuss in a very broad sense what it means for an algorithm to be hybrid quantum-classical. We first explore this concept very directly, by building a definition based on previous work in abstraction-representation theory, arguing that what makes an algorithm hybrid is not directly how it is run (or how many classical resources it consumes), but whether classical components are crucial to an underlying model of the computation. We then take a broader view of this question, reviewing a number of hybrid algorithms and discussing what makes them hybrid, as well as the history of how they emerged and considerations related to hardware. This leads into a natural discussion of what the future holds for these algorithms. To answer this question, we turn to the use of specialized processors in classical computing. The classical trend is not for new technology to completely replace the old, but to augment it. We argue that the evolution of quantum computing is unlikely to be different: Hybrid algorithms are likely here to stay well past the NISQ era and even into full fault tolerance, with the quantum processors augmenting the already powerful classical processors which exist by performing specialized tasks.

Type: Article
Title: Hybrid quantum-classical algorithms in the noisy intermediate-scale quantum era and beyond
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevA.106.010101
Publisher version: https://doi.org/10.1103/PhysRevA.106.010101
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher's terms and conditions.
UCL classification: UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10154103
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