Sunday 3 March 2024

penrose tiles (11. 398)

Given the potential, inevitably of quantum computing to break even the hardest encryption and pose an existential threat to the digital framework of privacy and security that we’ve become accustomed to, a possible reprieve in the form of aperiodic tiling is welcome news. Rather than focus on the symmetrical and repeating approaches to tiling a surface, polymath and Nobel laureate Roger Penrose and others began to study inflation and deflation of imperfect coverage in the 1970s, and anticipating the models of quantum computing, physical qubits and the superimposed virtual states, the never-repeating mosaics are not in themselves a place to hide information but a check-digit redundancy to ensure calculations stay on course. Given the nature of quantum mechanics—measuring the in-between state, neither zero or one and both, will cause the value to collapse, making the circuitry a rather delicate and unreliable thing and could lead to a more robust and internally consistent way for encoding and encryption as we know it. More at the links above.