Abstract

Due to several physical limitations in the realisation of quantum hardware, today's quantum computers are qualified as Noisy Intermediate-Scale Quantum (NISQ) hardware. NISQ hardware is characterized by a small number of qubits (50 to a few hundred) and noisy operations. Moreover, current realisations of superconducting quantum chips do not have the ideal all-to-all connectivity between qubits but rather at most a nearest-neighbour connectivity. All these hardware restrictions add supplementary low-level requirements. They need to be addressed before submitting the quantum circuit to an actual chip. Satisfying these requirements is a tedious task for the programmer. Instead, the task of adapting the quantum circuit to a given hardware is left to the compiler. In this paper, we propose a Hardware-Aware mapping transition algorithm (HA) that takes the calibration data into account with the aim to improve the overall fidelity of the circuit. Evaluation results on IBM quantum hardware show that our HA approach can outperform the state of the art both in terms of the number of additional gates and circuit fidelity.

Highlights

  • IntroductionQuantum computing has become a very active field of research

  • In recent years, quantum computing has become a very active field of research

  • The aforementioned quantum hardware can already be qualified as noisy intermediate-scale quantum (NISQ) hardware [12]

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Summary

Introduction

Quantum computing has become a very active field of research. It promises to solve classically intractable computational problems such as integer factorization [1], quantum chemistry [2], linear algebra [3]–[8], or optimization [9]–[11]. Quantum hardware has attracted the attention of several companies such as IBM, Google, Intel, or Rigetti that have demonstrated quantum chips with 53, 72, 49, and 28 qubits, respectively. It is believed that even a noisy quantum chip with limited qubit-to-qubit connectivity can be used to solve some classically intractable problems, one of the most promising candidates being quantum chemistry [2]

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