4 papers · 1 filter
Tensor-network decoders for process tensor descriptions of non-Markovian noise
Fumiyoshi Kobayashi, Hidetaka Manabe, Gregory A. L. White +3
Quantum error correction (QEC) is essential for fault-tolerant quantum computation. Often in QEC errors are assumed to be independent and identically distributed and can be discret…
Quantum HodgeRank: Topology-Based Rank Aggregation on Quantum Computers
Caesnan M. G. Leditto, Angus Southwell, Behnam Tonekaboni +2
HodgeRank generalizes ranking algorithms, e.g. Google PageRank, to rank alternatives based on real-world (often incomplete) data using graphs and discrete exterior calculus. It ana…
Topological Signal Processing on Quantum Computers for Higher-Order Network Analysis
Caesnan M. G. Leditto, Angus Southwell, Behnam Tonekaboni +3
Predicting and analyzing global behaviour of complex systems is challenging due to the intricate nature of their component interactions. Recent work has started modelling complex s…
Capturing long-range memory structures with tree-geometry process tensors
Neil Dowling, Kavan Modi, Roberto N. Muñoz +2
We introduce a class of quantum non-Markovian processes -- dubbed process trees -- that exhibit polynomially decaying temporal correlations and memory distributed across time scale…