The Hubbard model in various sizes.

Quantum Zeno Monte Carlo for computing observables

The Quantum Zeno Monte Carlo algorithm bridges the gap between noisy intermediate-scale quantum and fault-tolerant quantum computing eras by offering polynomial computational complexity and resilience to both device noise and Trotter errors without requiring initial state overlap or variational parameters, as demonstrated on IBM’s NISQ devices with up to 12 qubits.

Stabilisers for the planar surface code.

The Reset Dilemma: Optimizing Quantum Error Correction

Quantum error correction experiments face a trade-off where unconditional qubit reset can theoretically double error tolerance during logical operations, but no-reset approaches perform better in practice when reset operations are slow or error-prone, prompting the development of novel syndrome extraction circuits to mitigate these limitations.

Error mitigation by temperature extrapolation.

Quantum error mitigation in quantum annealing

Researchers developed practical zero-noise extrapolation techniques for quantum annealing that successfully mitigate both thermal and non-thermal errors in quantum systems without additional qubit overhead, demonstrated through experiments on a transverse-field Ising spin chain that aligned well with theoretical predictions.

Quantum error mitigation.

Quantum Error Mitigation: Confronting Fundamental Limits

Researchers have established fundamental theoretical bounds on quantum error mitigation techniques, proving that certain performance limitations are unavoidable physics constraints rather than technological shortcomings, with sampling overhead scaling exponentially with circuit depth for local depolarizing noise and confirming the optimality of probabilistic error cancellation for mitigating local dephasing noise.

The lattice representations of (rotated) surface and toric codes.

Memory-Enhanced Belief Propagation for Quantum Error Correction

The researchers developed MBP (Memory-effect Belief Propagation), an enhanced version of traditional belief propagation that incorporates memory effects and neural network-like inhibition functionality, enabling efficient decoding of highly degenerate quantum error-correcting codes with significantly improved performance, achieving error thresholds of 16% and 17.5% for surface and toric codes respectively.

Comparison between single-exponential extrapolation and dual-exponential extrapolation in an eight-qubit simulation.

Multi-exponential error extrapolation and combining error mitigation techniques for NISQ applications

This research advances quantum computing by developing and mathematically proving the effectiveness of multi-exponential error extrapolation techniques, while demonstrating how to efficiently combine it with quasi-probability and symmetry verification methods to achieve superior error mitigation in NISQ devices without requiring quantum error correction’s large qubit overhead.

Entangled error-protected qubits

Entangled error-protected qubits

Researchers from the University of Innsbruck have entangled two qubits distributed over several quantum objects and successfully transmitted their quantum properties.