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quant-ph2026
Linearised quantum signal processing
Marek Arsenault, Hlér Kristjánsson
Quantum functional programming has been developed through two distinct paradigms in the last few years: Quantum Signal Processing (QSP)-based methods, including the Quantum Singula…
quant-ph2024
Exponential separation in quantum query complexity of the quantum switch with respect to simulations with standard quantum circuits
Hlér Kristjánsson, Tatsuki Odake, Satoshi Yoshida +4
Quantum theory is consistent with a computational model permitting black-box operations to be applied in an indefinite causal order, going beyond the standard circuit model of comp…
quant-ph2024
Simulating the quantum switch with quantum circuits is computationally hard
Jessica Bavaresco, Hlér Kristjánsson, Mio Murao +4
Higher-order transformations acting on input quantum channels in an indefinite causal order, such as the quantum switch, cannot be described by quantum circuits using the same numb…