Quantum Elements and the University of Southern California (USC) have published a peer-reviewed paper in Physical Review Letters (PRL) detailing a new Quantum Monte Carlo (QMC) algorithm that significantly lowers the classical computing power needed to simulate noisy quantum circuits. Traditional open-system simulations rely on direct density-matrix tracking, which scales exponentially quickly crippling classical hardware. The new paper titled Real-Time Sign-Problem-Suppressed Quantum Monte Carlo Algorithm for Noisy Quantum Circuit Simulations co-authored by Dr. Tong Shen and USC Professor Daniel A. Lidar, describes how the new algorithm suppresses the notorious quantum “sign problem.” This new algorithm models noisy quantum-circuit behavior with a fraction of the computational footprint while still preserving the critical dynamics needed to evaluate QEC and decoder performance.

The practical viability of the algorithm was validated in a joint collaboration involving Quantum Elements, USC, Harvard, and Amazon Web Services (AWS). Researchers deployed a QMC-accelerated digital twin to simulate a distance-7 surface-code syndrome-extraction round utilizing 97 physical qubits.

The scaling differences highlighted by the collaboration are stark:

  • Brute-Force Open-System Simulation: Would require tracking 497 density-matrix entries.
  • QMC-Based Digital Twin: Completed the simulation in approximately one hour on a single compute node.

AWS assisted in translating the methodology into a containerized workload architecture via AWS ParallelCluster, allowing the digital twin to scale horizontally across multiple instances to accommodate higher qubit counts.

As hardware developers pivot heavily toward fault tolerance, the industry needs better tools to understand how physical noise impacts logical qubits. Quantum Elements plans to use this algorithmic foundation to build scalable “digital twins,” allowing hardware teams to optimize software, controls, and decoders long before full error-corrected hardware is physically built.

A press release announcing this development has been posted on the Quantun Elements website here and the full paper can be found on the Physical Review Letters website here.

June 24, 2026