Demonstrating the power of quantum computers on current, error-prone hardware presents a significant challenge, primarily due to the difficulty of verifying results that are beyond classical computational reach. IBM has announced three new entries showcasing "quantum advantage," each employing distinct methods to tackle errors and validate outcomes. These advancements, while not immediately practical, suggest progress in the field.

One collaboration involving IBM, RIKEN, and Qedma modeled a Floquet process using an Ising model on an IBM quantum processor with error mitigation. Classical simulations on the Fugaku supercomputer diverged, while the quantum processor, confirmed by a Quantinuum processor, showed a gradual decrease in magnetism with oscillations, revealing potential issues in classical algorithms.

Another IBM-led effort with the University of Chicago utilized Clifford gates with a few non-Clifford T gates, making classical simulation exponentially hard. This approach incorporated error detection through measurements on auxiliary qubits. A third project by Algorithmiq employed a "quantum echoes" algorithm, where reversing a quantum process with added operations creates an imperfect echo due to noise, inherently making it difficult for classical hardware to fully simulate.