Large-scale hybrid quantum computing solution of linear systems of equations
summary
Implements a hybrid quantum/classical solver built around quantum phase estimation with three matrix classes (TP1, TP2, NTP) and a trick that drops the least-significant eigenvalue bit to reduce phase qubits from three to two. Demonstrates a record 130,000-dimensional problem solved on IBMQ (small-case run shows 97.5% fidelity on Johannesburg; large NTP run reports ~0.04 fidelity) and benchmarks via projection/cross-entropy. Platform integration claims QMWare virtualized up to 2^{37} linear equations and end-to-end hybrid orchestration.
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chapters (11)
- 0:00Introduction
- 1:25Linear system of equations
- 5:55Complexity reduction
- 7:25Implementation results
- 8:45Characterization
- 12:00Classical solution
- 13:00Quantum inspired solution
- 13:50Qmware
- 14:40Ram
- 15:15Hybrid Quantum Computing
- 16:25Conclusion
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