<p>We present a hybrid quantum–classical framework that couples a parameterized, hardware-imperfection-aware SQUID–Transmon surrogate simulation with deep learning to classify pancreatic radiotherapy CT/CBCT images from the <Emphasis FontCategory="NonProportional">Pancreatic-CT-CBCT-SEG</Emphasis> collection. The classical backbone uses a pretrained <Emphasis FontCategory="NonProportional">EfficientNetB0</Emphasis> with bidirectional Long Short-Term Memory layers; the quantum component is a 4-qubit, shallow-depth circuit whose input angles are modulated by a dynamically computed error-mitigation factor derived from the gradient of an effective potential. We perform a grid search over three hardware-relevant parameters: a rescaling factor <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(R\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>R</mi> </math></EquationSource> </InlineEquation> (an amplitude/drive scaler in our surrogate) that modulates the effective potential and controls the input rotation amplitude, a secondary coupling strength <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\lambda \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>λ</mi> </math></EquationSource> </InlineEquation>, and the bare Josephson energy <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(E_{J0}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>E</mi> <mrow> <mi>J</mi> <mn>0</mn> </mrow> </msub> </math></EquationSource> </InlineEquation>. In a 10-class subset experiment (top-dose patients), the hybrid model exhibits a performance maximum when <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(R=0.95\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>R</mi> <mo>=</mo> <mn>0.95</mn> </mrow> </math></EquationSource> </InlineEquation>, reaching a test accuracy of up to 0.95 across several <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\((\lambda , E_{J0})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>λ</mi> <mo>,</mo> <msub> <mi>E</mi> <mrow> <mi>J</mi> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation> settings. In this work, deviations of <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(R\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>R</mi> </math></EquationSource> </InlineEquation>, <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\lambda \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>λ</mi> </math></EquationSource> </InlineEquation>, and <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(E_{J0}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>E</mi> <mrow> <mi>J</mi> <mn>0</mn> </mrow> </msub> </math></EquationSource> </InlineEquation> are treated as quasi-static hardware imperfections (systematic calibration offsets and slow drift) rather than as stochastic noise channels. We interpret this optimum as a balance between expressivity and over-rotation/leakage in our simulator when the effective drive is slightly reduced. To benchmark consistency on the full dataset, we additionally report a window-level evaluation over all 40 patients with the classical backbone alone: a single 80/10/10 split yields <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(\text {train}=0.959\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mtext>train</mtext> <mo>=</mo> <mn>0.959</mn> </mrow> </math></EquationSource> </InlineEquation>, <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(\text {val}=0.960\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mtext>val</mtext> <mo>=</mo> <mn>0.960</mn> </mrow> </math></EquationSource> </InlineEquation>, <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(\text {test}=0.909\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mtext>test</mtext> <mo>=</mo> <mn>0.909</mn> </mrow> </math></EquationSource> </InlineEquation> accuracy (windows); stratified threefold cross-validation achieves <InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(0.876 \pm 0.005\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>0.876</mn> <mo>±</mo> <mn>0.005</mn> </mrow> </math></EquationSource> </InlineEquation> mean validation accuracy. Overall, our results indicate that such hardware-imperfection-aware hybrid models can be competitive with strong classical baselines while offering a physics-grounded knob for hardware-aware calibration; we discuss modeling assumptions and limitations (e.g., simplified hardware-imperfection model, connectivity, and task definition) to avoid overclaiming clinical readiness.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Squid–transmon quantum hardware simulation with deep learning for pancreatic radiotherapy image classification

  • Javier Villalba-Díez,
  • Ana González-Marcos,
  • Juan Carlos Losada-González,
  • Joaquín Ordieres-Meré

摘要

We present a hybrid quantum–classical framework that couples a parameterized, hardware-imperfection-aware SQUID–Transmon surrogate simulation with deep learning to classify pancreatic radiotherapy CT/CBCT images from the Pancreatic-CT-CBCT-SEG collection. The classical backbone uses a pretrained EfficientNetB0 with bidirectional Long Short-Term Memory layers; the quantum component is a 4-qubit, shallow-depth circuit whose input angles are modulated by a dynamically computed error-mitigation factor derived from the gradient of an effective potential. We perform a grid search over three hardware-relevant parameters: a rescaling factor \(R\) R (an amplitude/drive scaler in our surrogate) that modulates the effective potential and controls the input rotation amplitude, a secondary coupling strength \(\lambda \) λ , and the bare Josephson energy \(E_{J0}\) E J 0 . In a 10-class subset experiment (top-dose patients), the hybrid model exhibits a performance maximum when \(R=0.95\) R = 0.95 , reaching a test accuracy of up to 0.95 across several \((\lambda , E_{J0})\) ( λ , E J 0 ) settings. In this work, deviations of \(R\) R , \(\lambda \) λ , and \(E_{J0}\) E J 0 are treated as quasi-static hardware imperfections (systematic calibration offsets and slow drift) rather than as stochastic noise channels. We interpret this optimum as a balance between expressivity and over-rotation/leakage in our simulator when the effective drive is slightly reduced. To benchmark consistency on the full dataset, we additionally report a window-level evaluation over all 40 patients with the classical backbone alone: a single 80/10/10 split yields \(\text {train}=0.959\) train = 0.959 , \(\text {val}=0.960\) val = 0.960 , \(\text {test}=0.909\) test = 0.909 accuracy (windows); stratified threefold cross-validation achieves \(0.876 \pm 0.005\) 0.876 ± 0.005 mean validation accuracy. Overall, our results indicate that such hardware-imperfection-aware hybrid models can be competitive with strong classical baselines while offering a physics-grounded knob for hardware-aware calibration; we discuss modeling assumptions and limitations (e.g., simplified hardware-imperfection model, connectivity, and task definition) to avoid overclaiming clinical readiness.