Problem
Research questions and friction points this paper is trying to address.
quantum computing
finite impulse response
signal processing
quantum algorithms
State-Space-Based FIR Filtering on a Quantum Computer
🤖 AI Summary
本文通过引入状态空间框架和量子延迟门，设计了一种可在量子计算机上实现的FIR滤波器算法，以加速信号处理任务。
📝 Abstract
Many signal processing tasks require intensive computations. Quantum computing promises to accelerate certain tasks, but algorithms must be designed around the limitations of quantum mechanics. This paper provides a quantum implementation of finite impulse response (FIR) filters, which are a widely used tool in classical signal processing. The filter can be parallelized and composed as part of larger quantum algorithms, with potential for speedups using quantum amplitude estimation and future fault-tolerant quantum hardware. To accomplish these properties, we introduce a state-space framework wherein sample-based signal processing is performed with unitary quantum circuits. We present the quantum delay gate as the quantum analog of the delay line in discrete-time signal processing. Unitary circuits intrinsically describe lossless systems, but we also implement lowpass and other bounded filters by emulating a projection operator. The FIR filter implementation is tested and demonstrated with a quantum circuit simulator.
Innovation
Methods, ideas, or system contributions that make the work stand out.
quantum delay gate
state-space framework
unitary quantum circuits
finite impulse response (FIR) filter
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