Quantum Computing Research Programs
Q-Psi conducts open-science quantum software compilation research, physical-QPU algorithm evaluation, and reproducible benchmark studies on real superconducting hardware.
Compiler-Enabled Quantum Query Advantage (v1.1)
Authentic software-repair candidate spaces mapped to Grover amplitude amplification on ibm_marrakesh (Job da1c7rkdedkc73eqs5mg). Quantum effective queries beat classical expected cost across 9/9 cases and 3/3 problem sizes (N=4, 8, 16; 95% CI upper bound 7.360 < 8.5).
Dynamic Bernstein-Vazirani Experiment
Single-shot dynamic oracle experiment evaluating time-to-solution scaling on ibm_marrakesh. Measured quantum scaling exponent \(\alpha_Q = 0.1532\) vs classical \(\alpha_C = 0.6963\) (\(t = -30.65, p = 3.47 \times 10^-7\)), demonstrating quantum query-complexity advantage.
Restricted-Hamming-Weight Simon Experiment
Constant-depth (15-16 layers) circuit execution across 16 to 56 physical qubits on ibm_marrakesh. Exact period recovered on a subset of instances. Universal asymptotic speedup on raw unmitigated hardware remains inconclusive.
State-Space Compiler (Stage-6F)
Compiles multi-repository software-repair search spaces into discrete QUBO/Ising Hamiltonians executed on physical IBM Quantum processors. Exact classical parity achieved on instances with N ≤ 10. NISQ gate-depth boundaries evaluated for N ≥ 18.