Introduction to QC
QC (Quasi Quantum Computing) is a quantum circuit simulator that uses neural network physics backends to simulate quantum systems on classical hardware. Unlike traditional quantum simulators, QC leverages three independently trained neural networks to model quantum mechanical evolution through different physical formulations.What is QC?
QC is a collapse-free quantum computer simulator that maintains quantum states in the full joint Hilbert space without wavefunction collapse. The simulator represents n-qubit states as tensors in C^(2^n) and uses neural network backends trained on physics principles to evolve quantum states. The key innovation is that measurement is non-destructive - the simulator reads Born probabilities without collapsing the quantum state, allowing you to observe quantum systems while preserving their coherence.Key Innovations
Neural Physics Backends
QC implements three independently trained neural network backends, each modeling quantum evolution through a different physical formulation:Hamiltonian Backend
Spectral convolution network that applies a learned Hamiltonian operator H|ψ⟩ using Fourier-domain operations
Schrödinger Backend
2-channel network trained to propagate wavefunctions according to the Schrödinger equation
Dirac Backend
8-channel relativistic network operating on 4-component spinors for Dirac equation evolution
Constraint Preservation
The backends preserve fundamental quantum mechanical constraints without explicit enforcement:- Phase coherence: 22/22 phase coherence tests passed
- Unitarity: Norm preserved across all gate operations
- Entanglement: True multi-qubit entanglement with joint Hilbert space representation
- Response properties: Electric polarizability matches exact diagonalization with zero error
All three backends produce identical results across standard quantum algorithms, demonstrating structural consistency beyond simple constraint satisfaction.
Architecture Overview
State Representation
The quantum state is stored as a tensor of shape(2^n, 2, G, G):
- Dimension 0: Computational basis index k ∈ {0, …, 2^n - 1}
- Dimension 1: Complex channels (real, imaginary)
- Dimension 2-3: Spatial wavefunction grid (G × G points)
- Superposition: Multiple basis states with non-zero amplitude
- Entanglement: Amplitudes do not factorize across qubits
- Coherent gates: Exact permutation and mixing of amplitudes
Component Structure
Validated Results
QC has been experimentally validated across multiple domains:Quantum Algorithms
- Bell States: P(|00⟩) = 0.5, P(|11⟩) = 0.5, entropy = 1 bit
- GHZ States: Perfect 3-qubit entanglement
- Grover’s Algorithm: 94.53% success probability on marked state |101⟩
- Quantum Fourier Transform: Uniform distribution across 8 basis states
Molecular Simulation
- H₂ Ground State: VQE recovers 100% of correlation energy
- Error: |VQE - FCI| = 1.31×10⁻¹¹ Ha (machine precision)
- Stark Effect: Electric polarizability α = 2.750 a₀³ (exact match with reference)
Extended Capabilities
- Polyatomic molecules: H₂O, NH₃, CH₄ processed through same pipeline
- QED corrections: Anomalous magnetic moment with 0.3% relative error
- Visualization: Publication-quality figures matching numerical logs
Use Cases
QC is ideal for:- Quantum algorithm prototyping: Test quantum circuits before running on real hardware
- Educational demonstrations: Visualize quantum state evolution without collapse
- Molecular chemistry: VQE-based ground state calculations for small molecules
- Method validation: Compare neural backend results with analytical solutions
What’s Next?
Installation
Install QC and set up your environment with all dependencies
Quick Start
Run your first quantum simulation in minutes