Alicante Team Defines Limits to Quantum Speedup Gains

Defining whether a quantum speedup translates to real advantage requires careful consideration of interfaces; specifically, how data enters and leaves any calculation. A framework named ‘admissibility’ determines if a given quantum process is licensed by its associated classical counterpart, accounting for all computational overheads. This enables assessment of normalized Betti estimation in topological data analysis, identifying three distinct interface types. Any benefit from a quantum computer isn’t inherent to its calculations but depends on how data both enters and exits the processor. The ‘admissibility’ framework rigorously evaluates whether a quantum computation offers genuine…