9 citations · 14 across the 8 of their papers we have counts for
8 papers · 1 filter
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…
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…
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…
Universal algorithm for transforming Hamiltonian eigenvalues
Tatsuki Odake, Hlér Kristjánsson, Philip Taranto +1
Manipulating Hamiltonians governing physical systems has found a broad range of applications, from quantum chemistry to semiconductor design. In this work, we provide a new way of…
Higher-order quantum transformations of Hamiltonian dynamics
Tatsuki Odake, Hlér Kristjánsson, Akihito Soeda +1
We present a quantum algorithm to achieve higher-order transformations of Hamiltonian dynamics. Namely, the algorithm takes as input a finite number of queries to a black-box seed…
Quantum networks with coherent routing of information through multiple nodes
Hlér Kristjánsson, Yan Zhong, Anthony Munson +1
Large-scale communication networks, such as the internet, rely on routing packets of data through multiple intermediate nodes to transmit information from a sender to a receiver. I…
Consistent circuits for indefinite causal order
Augustin Vanrietvelde, Nick Ormrod, Hlér Kristjánsson +1
Over the past decade, a number of quantum processes have been proposed which are logically consistent, yet feature a cyclic causal structure. However, there is no general formal me…
Quantum superposition of black hole states as a communication resource
Richard Howl, Ali Akil, Hlér Kristjánsson +2
The interplay between black holes and quantum information has revealed deep connections between gravity and quantum mechanics. For example, the classical spacetime geometry of a bl…