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Optimize Circuits for Better Execution

RQM Studio reduces unnecessary operations in a quantum circuit and returns a cleaner version designed for execution. Submit a circuit and receive a more efficient version that preserves behavior while improving execution readiness.

What You Get

Output Description
Optimized circuit Transformed circuit with reduced gates and depth
Gate count reduction Before/after gate count
Depth reduction Before/after circuit depth
Canonical structure SU(2)-normalized gate representation
Optimization report Structured summary of all transformations applied

How It Works

RQM Studio applies a sequence of geometry-aware passes to the input circuit:

  • Gate fusion — merges consecutive single-qubit rotations into a single SU(2) operation using exact quaternion composition
  • Redundancy elimination — detects and removes gate pairs that compose to the identity
  • Axis-aware canonicalization — normalizes gates to a canonical form using SU(2) geometry, not heuristics
  • Depth reduction — reorders commuting operations to minimize circuit depth without changing program semantics

All passes use the quaternion and SU(2) primitives from rqm-core to determine gate equivalences exactly. Two gates are fused only when their composition is provably correct — not based on floating-point approximation alone.

Why It Matters

Every unnecessary gate in a circuit increases the chance of decoherence on real hardware. Reducing gate count and depth directly improves execution fidelity and reduces resource cost on quantum backends.

Unlike heuristic transpilers, RQM's optimization is geometry-correct. The same SU(2) arithmetic that defines the physics also drives the optimization — so the reduced circuit is guaranteed to represent the same operation.

Available Today

The optimization endpoint is live and accessible without installation:

Base URL: https://rqm-api.onrender.com

# Fetch a ready-to-use example
curl https://rqm-api.onrender.com/v1/circuits/example > example.json

# Submit for optimization
curl -X POST https://rqm-api.onrender.com/v1/circuits/optimize \
  -H "Content-Type: application/json" \
  -d @example.json

The response includes the optimized circuit, before/after metrics, and a full optimization report.

:material-book-open-variant: Open Swagger UI

Next Steps

Goal Where to go
Step-by-step API walkthrough API Quickstart
Full optimization reference Optimization
Verify the result Verify Optimizations
Explore circuit behavior visually Visualize Quantum Geometry
Platform architecture Ecosystem