Compression Batching for Quantum Cloud

🔔 Quantum Wish Bell https://www.quantumwishbell.com/researchThis work introduces compression batching for quantum cloud systems: a method to encode many independent classical payloads (e.g., user requests or jobs) into a constant-width quantum circuit. By mapping each payload deterministically to a phase rotation, multiple payloads can share a single qubit via additive rotations. The result is one rz(θ) per qubit, with optional entangling gates to preserve coherence across the system. On IBM Quantum hardware, this approach enables dozens of independent jobs to execute simultaneously within a compact multi-qubit circuit. For example, 50 independent tasks can be compressed into a single 5-qubit job (5 qubits × 10 payloads per qubit), reducing cost per task from approximately $1.50 (one job each) to ~$0.03 (shared job). An audit trail is maintained so each payload can be traced back to its contribution within the compressed execution. This method offers: Significant cost and runtime reduction for quantum cloud execution A strategy for scalability and sustainability of quantum workloads An open framework for auditability and reproducibility in multi-payload quantum circuits We release this technique openly for the community to test, extend, and critique, with the goal of supporting broader adoption of efficient quantum execution models. Keywords: quantum computing, circuit compression, batching, IBM Quantum, cloud execution, quantum workloads, resource optimisation