Bitrefill · Quantum Asset Selection

Pay Bitrefill with quantum-picked crypto.

We frame your portfolio as a QUBO — assets as nodes, couplings as edges — then race classical and quantum solvers to choose the best crypto to spend on gift cards, mobile top-ups, and eSIMs.

Assets as wells on a quantum cost surface, with reinforcing and opposing couplings

Asset selection as an optimization landscape

Find the lowest point on the cost surface

Every basket is a point on a surface shaped by expected return, risk, and market conditions. The optimizer descends toward the deepest wells — the allocations that cost the least to hold and trade.

deeper well = more optimal allocation
A mesh cost surface with several wells, each marked by a point

Formulating the QUBO

A graph of assets and their couplings

Nodes are assets; each carries a weight h (its standalone appeal). Edges are the J couplings between assets — how holding one affects another.

Topology is irregular — a node can couple to many others, not just four.

positive J — reinforcing negative J — opposing
A graph of crypto assets connected by reinforcing (green) and opposing (red) couplings

From problem to persisted portfolio

One straight line: estimate → solve → report

Build a PortfolioProblem from recent returns (μ = trend, Σ = risk) and the slider knobs (γ, w_max, w_min); race the solvers for the best feasible weights; value money at spot, split it into token units, save, and report.

Six-step pipeline: build problem, race solvers, reallocate, persist, report, emit events

Why pool optimization pays off

Less slippage now, more capital later

Optimizing across the pool routes weight toward the assets that are cheapest to trade under current conditions — so each rebalance loses less to slippage.

That edge compounds: you still buy the least-weighted assets, but you keep more of every dollar over the long run.

+8.9%capital retained vs. naive equal split (12 rebalances)
Capital retained over rebalances: optimized routing vs naive equal split, +8.9% retained

Assets as wells, constraints as nodes

The optimizer settles into the deepest wells

Each asset bends the cost surface into a well; couplings (green = reinforcing, red = opposing) and the constraint nodes between them shape it.

The search settles into ZEC and SOL — the two deepest wells.

Crypto assets rendered as wells on a 3D cost surface, with ZEC and SOL deepest