complextensor.svg

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  <!-- Title -->
  <text x="500" y="80" font-family="Arial, sans-serif" font-size="40" fill="#ffffff" text-anchor="middle" filter="url(#glow)">ComplexTensor</text>
  <text x="500" y="130" font-family="Arial, sans-serif" font-size="24" fill="#82b1ff" text-anchor="middle">Bridging Classical and Quantum Computation</text>

  <!-- Key Concepts -->
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    <text font-family="Arial, sans-serif" font-size="28" fill="#82b1ff" filter="url(#glow)">Key Concepts:</text>
    <text y="50" font-family="Arial, sans-serif" font-size="20" fill="#ffffff">• Dual Real-Imaginary Representation</text>
    <text y="90" font-family="Arial, sans-serif" font-size="20" fill="#ffffff">• Quantum-Inspired Transformations</text>
    <text y="130" font-family="Arial, sans-serif" font-size="20" fill="#ffffff">• Gradient Flow Control</text>
    <text y="170" font-family="Arial, sans-serif" font-size="20" fill="#ffffff">• Hyperdimensional Computing Support</text>
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  <!-- Complex Number Visualization -->
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    <text x="390" y="260" fill="#ffffff" font-size="16">Re</text>
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      <tspan x="10" dy="20">import torch</tspan>
      <tspan x="10" dy="25">from complextensor import ComplexTensor</tspan>
      <tspan x="10" dy="25"></tspan>
      <tspan x="10" dy="25"># Create complex tensors</tspan>
      <tspan x="10" dy="25">ct1 = ComplexTensor(torch.randn(3, 3),</tspan>
      <tspan x="10" dy="25">                    torch.randn(3, 3))</tspan>
      <tspan x="10" dy="25">ct2 = ComplexTensor(torch.randn(3, 3),</tspan>
      <tspan x="10" dy="25">                    torch.randn(3, 3))</tspan>
      <tspan x="10" dy="25"></tspan>
      <tspan x="10" dy="25"># Perform complex operations</tspan>
      <tspan x="10" dy="25">sum_ct = ct1 + ct2</tspan>
      <tspan x="10" dy="25">prod_ct = ct1 * ct2</tspan>
      <tspan x="10" dy="25">exp_ct = ct1.exp()</tspan>
      <tspan x="10" dy="25"></tspan>
      <tspan x="10" dy="25"># Quantum-inspired operation</tspan>
      <tspan x="10" dy="25">quantum_ct = ct1.apply_quantum_gate('H')</tspan>
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    <!-- Wave 1 -->
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    <text x="100" y="60" fill="#82b1ff" font-size="16">Wave 1 (Real)</text>
    <text x="100" y="90" fill="#ff4081" font-size="16">Wave 2 (Imaginary)</text>
    <text x="100" y="120" fill="#ffffff" font-size="16">Interference (Complex Sum)</text>
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  <!-- Applications and Future -->
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    <text font-family="Arial, sans-serif" font-size="28" fill="#82b1ff" filter="url(#glow)">Applications &amp; Future Developments</text>
    <text y="50" font-family="Arial, sans-serif" font-size="20" fill="#ffffff">• Quantum Machine Learning</text>
    <text y="90" font-family="Arial, sans-serif" font-size="20" fill="#ffffff">• Advanced Signal Processing</text>
    <text y="130" font-family="Arial, sans-serif" font-size="20" fill="#ffffff">• Quantum Algorithm Simulation</text>
    <text y="170" font-family="Arial, sans-serif" font-size="20" fill="#ffffff">• Quantum-Classical Hybrid Networks</text>
    <text y="210" font-family="Arial, sans-serif" font-size="20" fill="#ffffff">• Quantum Tensor Networks</text>
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  <!-- Mathematical Foundation -->
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    <text font-family="Arial, sans-serif" font-size="28" fill="#82b1ff" filter="url(#glow)">Mathematical Foundation</text>
    <text y="50" font-family="Arial, sans-serif" font-size="20" fill="#ffffff">• Euler's Formula: e^(iθ) = cos(θ) + i·sin(θ)</text>
    <text y="90" font-family="Arial, sans-serif" font-size="20" fill="#ffffff">• Quantum State: |ψ⟩ = α|0⟩ + β|1⟩</text>
    <text y="130" font-family="Arial, sans-serif" font-size="20" fill="#ffffff">• Fourier Transform: F(ω) = ∫ f(t) e^(-iωt) dt</text>
    <text y="170" font-family="Arial, sans-serif" font-size="20" fill="#ffffff">• Schrödinger Equation: iℏ ∂/∂t |ψ⟩ = H |ψ⟩</text>
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  <!-- Conclusion -->
  <text x="500" y="1530" font-family="Arial, sans-serif" font-size="24" fill="#ffffff" text-anchor="middle" filter="url(#glow)">
    ComplexTensor: Unleashing the Power of Complex Numbers
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  <text x="500" y="1570" font-family="Arial, sans-serif" font-size="24" fill="#ffffff" text-anchor="middle" filter="url(#glow)">
    in Classical and Quantum Computation
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