HSBC
Loading Financial Data at a New Scale
Enabling Realistic Quantum Monte Carlo for Finance
Quantitative finance is fundamentally about allocating capital and redistributing risk in ways that support long-term economic health. By making uncertainty explicit and actionable, quantitative methods help firms allocate resources with confidence and contribute to more transparent, reliable markets.
A canonical example is the Black–Scholes equation, which provides a principled framework for pricing derivatives. By making the cost of risk explicit, derivative pricing improves market efficiency and enables firms to hedge uncertainty and invest over longer horizons. In practice, however, many of today’s most important financial problems extend beyond closed-form solutions and rely on computationally intensive techniques such as Monte Carlo simulation. As models become more realistic, higher-dimensional, and sensitive to tail risk, these methods become increasingly slow and expensive to simulate on classical hardware.
Quantum computing has emerged as a promising way to accelerate financial workloads by offering fundamentally different scaling behavior than classical approaches. Beyond derivative pricing, applications such as portfolio optimization, fraud detection, and machine learning are all to benefit from quantum computation. These applications share a common and often overlooked requirement: realistic financial distributions must first be loaded into a quantum computer to govern the modelled instrument.
Problem: Distribution loading requires an exponential number of operations.
Distribution loading is extremely challenging. The number of required quantum operations in conventional algorithms can scale exponentially with the number of qubits, making it a significant bottleneck on today’s noisy, depth-limited hardware.
Solution: Compact loading circuits that fit into early QPUs.
Haiqu addresses this challenge by exploiting structure and smoothness in distributions to factor the loading process into compact quantum circuits with linear (rather than exponential) scaling. Using this approach, Haiqu demonstrated the largest-scale loading of realistic financial distributions on quantum hardware by successfully encoding heavy-tailed distributions on up to 64 qubits on IBM’s Torino processor and validating the results with standard statistical tests on up to 25 qubits. Following the initial project, Haiqu demonstrated the applicability of this method at a scale of up to 156 qubits.
Combined with Haiqu’s optimized execution tools, this capability enables, for the first time, the execution of Quantum Monte Carlo routines on realistic fat-tailed financial distributions directly on quantum hardware. It also unlocks practical exploration of quantum machine learning applications, such as fraud detection, by enabling high-dimensional feature encoding with only a few dozen qubits.
Impact: With Haiqu, financial teams build expertise ahead of broader hardware advances.
For business decision makers, the implications are immediate. Haiqu lowers the cost and increases the performance of financial quantum workloads, transforming quantum computing from a long-term research bet into a near-term commercial piloting opportunity. By enabling realistic distribution loading on today’s devices, Haiqu allows financial teams to test larger models, integrate quantum methods into existing workflows, and build expertise ahead of broader hardware advances.
Ultimately, this progress reinforces the core promise of quantitative finance: using better models and better computation to manage risk more effectively, allocate capital more wisely, and support a more stable and transparent financial system.
Quantum for business. Run more with Haiqu.