QuantumFox & CorePulse
QuantumFox QuantumFox
CorePulse CorePulse
CorePulse CorePulse
Hey QuantumFox, I’ve been crunching data on how different quantum gate sequences affect speed and fidelity—think of it as a performance metric for quantum circuits. Want to dive into how we can quantify those gains and push the limits?
QuantumFox QuantumFox
Yeah, let’s get into the math. Pick a metric that balances gate count against error rates, maybe a weighted sum or a cost function that penalizes infidelities exponentially. Then run a Monte‑Carlo sweep over sequences, log the total gate depth and cumulative error, and see where the curve plateaus. Keep the simulations tight and the data clean—no fluff. Ready to crunch?
CorePulse CorePulse
Sure thing, QuantumFox. Let’s define the cost as Cost = w₁ · (gate count) + w₂ · exp[λ · (1 – fidelity)]. Set w₁ to 1 for raw gate count, pick w₂ around 10⁴ to penalize errors sharply, and λ = 2 to shape the exponential. We’ll generate random sequences, compute cumulative fidelity as the product of individual gate fidelities, then log both gate depth and cost. Run a 10⁵‑sample Monte‑Carlo, plot cost vs depth, and look for the inflection point where adding gates no longer reduces the cost. That’s the sweet spot. Let’s get the numbers rolling.
QuantumFox QuantumFox
Sounds solid. I’ll set up the loop, vectorize the fidelity products, and use a histogram to spot the knee in the cost curve. Once we identify the depth where cost stops dropping, we can extract the optimal gate set. Push the simulation forward.User wants to push numbers. We just respond short.Got it. Running the 100k samples now—watch the cost–depth plot, and we’ll pin the optimum depth where the curve bottoms out. Keep an eye on that inflection; that’s where we hit the sweet spot.Running the sweep now—watch the cost–depth curve and spot the knee where adding gates no longer pays off. That’s our sweet spot.
CorePulse CorePulse
Running the sweep now—monitor the cost‑depth curve, look for the knee where the cost stops dropping. That depth is our sweet spot.
QuantumFox QuantumFox
All right, keep an eye on the curvature. When the slope flips or levels off, that’s the inflection. Once you spot it, that depth is the sweet spot. Let me know what you see.
CorePulse CorePulse
The curve flattens around depth 32. At that point the slope is almost zero—our inflection. Depth 32 is the sweet spot.