哪种数据嵌入方法需要最少量子比特数？Which data embedding method requires the fewest number of qubits?

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BlackTom AI · Accepted Answer

First, the question asks which data embedding method uses the fewest qubits, comparing several common quantum data embedding techniques.
Option A: 'All of them require the same number of qubits.' This is unlikely, because different embedding schemes map data to quantum states in distinct ways, typically using different resource counts, especially qubits, so this statement is generally false.
Option B: 'Amplitude encoding' This method encodes an N-dimensional classical vector into the amplitudes of a quantum state, which can often be represented using as few as log2(N) qubits. In practice, amplitude encoding can achieve a much smaller qubit footprint compared to encoding each feature separately, making it a strong candidate for requiring the fewest qubits among the common methods.
Option C: 'Rotation embedding' In rotation-based embeddings, data features are used to parameterize rotation angles on one or more qubits. While the exact qubit count depends on the design, rotation embedding typically scales with the number of features and often needs more qubits than amplitude encoding, especially for high-dimensional data.
Option D: 'Basis encoding' Also known as computational basis encoding, this method maps each data feature to a basis state of a qubit register, usually requiring one qubit per feature (or per feature dimension), which grows with the input size and is generally not as qubit-efficient as amplitude encoding.
Overall, the main distinction lies in how the data is represented: amplitude encoding leverages quantum superposition to compress information into fewer qubits, whereas rotation and basis embeddings tend to use more qubits proportional to the feature count. The interpretation that aligns with widely used resource analyses is that amplitude encoding can achieve the smallest qubit count for a given data size, due to its logarithmic scaling with the number of features.

2025FallB-X-CSE571-78760 模块 1: 机器学习简介知识检查 Module 1: Intro to Machine Learning Knowledge Check

哪种数据嵌入方法需要最少量子比特数？Which data embedding method requires the fewest number of qubits?

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