A Dynamic Look-Ahead Heuristic for the Qubit Mapping Problem of NISQ Computers

Zhu, Pengcheng; Guan, Zhiwei; Cheng, Xueyun

doi:10.1109/tcad.2020.2970594

Cited by 29 publications

(23 citation statements)

References 24 publications

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“…It provides a good initial mapping method and a mapping transition algorithm. Another algorithm dynamic lookahead (DL) [34] based on SABRE shows an improvement in terms of number of additional gates. Moreover, the mapping method presented in [19] uses the hardware calibration data to try to find a good mapping.…”

Section: A Methodologymentioning

confidence: 99%

“…Most of the previous works [23]- [27] using the second method only adapt for nearest-neighbor connectivity and cannot be directly applicable to actual quantum architectures with nonuniform connections. Recently, publications [14], [28]- [34] that are not restricted to a specific architecture have been released. The algorithm presented in [28] uses a heuristic to find the best permutation at each step of the mapping procedure.…”

Section: Introductionmentioning

confidence: 99%

“…A major improvement has been shown by [29], which uses a "forward-backwardforward" mapping algorithm. Moreover, the "lookahead" strategy has been introduced in the heuristic cost function for further optimization in some existing works, notably [28]- [31], [34]. For qubit movement, most of these methods only use SWAP gate.…”

Section: Introductionmentioning

confidence: 99%

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A Hardware-Aware Heuristic for the Qubit Mapping Problem in the NISQ Era

Niu

Suau

Staffelbach

et al. 2020

IEEE Trans. Quantum Eng.

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Due to several physical limitations in the realization 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 realizations of superconducting quantum chips do not have the ideal all-to-all connectivity between qubits but rather at most a nearest-neighbor 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 article, we propose a hardware-aware (HA) mapping transition algorithm 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.

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Section: A Methodologymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Hardware-Aware Heuristic for the Qubit Mapping Problem in the NISQ Era

Niu

Suau

Staffelbach

et al. 2020

IEEE Trans. Quantum Eng.

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show abstract

“…Most of the previous works [2,26,34,37,42] using the second method only adapt for nearest-neighbour connectivity and cannot be directly applicable to actual quantum architectures with nonuniform connections. Recently, publications [10,19,23,29,38,[44][45][46] that are not restricted to a specific architecture have been released. The algorithm presented in [46] uses a heuristic to find the best permutation at each step of the mapping procedure.…”

Section: Introductionmentioning

confidence: 99%

“…A major improvement has been shown by [29] which uses a "forwardbackward-forward" mapping algorithm. Moreover, the "look-ahead" strategy has been introduced in the heuristic cost function for further optimisation in some existing works, notably [23,29,[44][45][46]. For qubit movement, most of these methods only use SWAP gate.…”

Section: Introductionmentioning

confidence: 99%

A Hardware-Aware Heuristic for the Qubit Mapping Problem in the NISQ Era

Niu,

Suau,

Staffelbach

et al. 2020

Preprint

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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.

show abstract