Resource-aware scheduling of multiple quantum circuits on a hardware device

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Auteurs principaux: Bhoumik, Debasmita, Majumdar, Ritajit, Sur-Kolay, Susmita
Format: Preprint
Publié: 2024
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author Bhoumik, Debasmita
Majumdar, Ritajit
Sur-Kolay, Susmita
author_facet Bhoumik, Debasmita
Majumdar, Ritajit
Sur-Kolay, Susmita
contents Recent quantum technologies and quantum error-correcting codes emphasize the requirement for arranging interacting qubits in a nearest-neighbor (NN) configuration while mapping a quantum circuit onto a given hardware device, in order to avoid undesirable noise. It is equally important to minimize the wastage of qubits in a quantum hardware device with m qubits while running circuits of n qubits in total, with n < m. In order to prevent cross-talk between two circuits, a buffer distance between their layouts is needed. Furthermore, not all the qubits and all the two-qubit interactions are at the same noise-level. Scheduling multiple circuits on the same hardware may create a possibility that some circuits are executed on a noisier layout than the others. In this paper, we consider an optimization problem which schedules as many circuits as possible for execution in parallel on the hardware, while maintaining a pre-defined layout quality for each. An integer linear programming formulation to ensure maximum fidelity while preserving the nearest neighbor arrangement among interacting qubits is presented. Our assertion is supported by comprehensive investigations involving various well-known quantum circuit benchmarks. As this scheduling problem is shown to be NP Hard, we also propose a greedy heuristic method which provides 2x and 3x better utilization for 27-qubit and 127-qubit hardware devices respectively in terms of qubits and time.
format Preprint
id arxiv_https___arxiv_org_abs_2407_08930
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Resource-aware scheduling of multiple quantum circuits on a hardware device
Bhoumik, Debasmita
Majumdar, Ritajit
Sur-Kolay, Susmita
Quantum Physics
Data Structures and Algorithms
Emerging Technologies
Recent quantum technologies and quantum error-correcting codes emphasize the requirement for arranging interacting qubits in a nearest-neighbor (NN) configuration while mapping a quantum circuit onto a given hardware device, in order to avoid undesirable noise. It is equally important to minimize the wastage of qubits in a quantum hardware device with m qubits while running circuits of n qubits in total, with n < m. In order to prevent cross-talk between two circuits, a buffer distance between their layouts is needed. Furthermore, not all the qubits and all the two-qubit interactions are at the same noise-level. Scheduling multiple circuits on the same hardware may create a possibility that some circuits are executed on a noisier layout than the others. In this paper, we consider an optimization problem which schedules as many circuits as possible for execution in parallel on the hardware, while maintaining a pre-defined layout quality for each. An integer linear programming formulation to ensure maximum fidelity while preserving the nearest neighbor arrangement among interacting qubits is presented. Our assertion is supported by comprehensive investigations involving various well-known quantum circuit benchmarks. As this scheduling problem is shown to be NP Hard, we also propose a greedy heuristic method which provides 2x and 3x better utilization for 27-qubit and 127-qubit hardware devices respectively in terms of qubits and time.
title Resource-aware scheduling of multiple quantum circuits on a hardware device
topic Quantum Physics
Data Structures and Algorithms
Emerging Technologies
url https://arxiv.org/abs/2407.08930