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arXiv:2506.01029 · IEEE Access

AEQUAM: Accelerating Quantum Algorithm Validation Through FPGA-Based Emulation

Lorenzo Lagostina, Deborah Volpe, Maurizio Zamboni, Giovanna Turvani

Published Jan 1, 2025• 4 citations
arXivHTMLPDF

Abstract

This work presents AEQUAM (Area Efficient QUAntum eMulation), a toolchain that enables faster and more accessible quantum circuit verification. It consists of a compiler that translates OpenQASM 2.0 into RISC-like instructions, Cython software models for selecting number representations and simulating circuits, and a VHDL generator that produces RTL descriptions for FPGA-based hardware emulators. The architecture leverages a SIMD approach to parallelize computation and reduces complexity by exploiting the sparsity of quantum gate matrices. The VHDL generator allows customization of the number of emulated qubits and parallelization levels to meet user requirements. Synthesized on an Altera Cyclone 10LP FPGA with a 20-bit fixed-point representation and nearest-type approximation, the architecture demonstrates better scalability than other state-of-the-art emulators. Specifically, the emulator has been validated by exploiting the well consolidated benchmark of mqt bench framework.

DOI
10.1109/access.2025.3589746

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Quantum computing leverages quantum mechanics to perform complex computations efficiently, yet its practical implementation is hindered by hardware-software interdependence and quantum state instability. This paper advances lightweight FPGA-based quantum emulation by incorporating a universal quantum gate set, including parameterized Phase gates and the CNOT gate, to support comprehensive quantum protocol emulation on FPGA hardware. The FPGA platform used for synthesis is Artix-7. The proposed emulator is validated through simulations of quantum circuits, including Bell States, the Deutsch algorithm, Superdense coding, Grover's search, and BB84 QKD, with results benchmarked against IBM's noiseless quantum simulator. Utilizing FPGA's customizable parallelism and energy efficiency, this framework offers a resource-efficient, reliable platform for developing and testing quantum algorithms.
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Hardware emulation based on field programmable gate array (FPGA) platform is vital to harness the power of quantum parallelism. As resource requirement grows exponentially in classical modeling quantum system, an optimum hardware architecture is crucial to emulate practical quantum circuits. Quantum Fourier transform (QFT) finds application in several critical quantum algorithms. In this work, experiments are conducted based on QFT to identify suitable qubit representation and hardware design technique. Experimental results show that 24-bit fixed point representation and serial architecture achieve optimal computation accuracy and resource utilization in QFT circuit emulation.