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quant-ph20252 cited

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…

quant-ph20253 cited

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…

quant-ph2025

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…

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

Quantum gravity as a communication resource

Richard Howl, Ali Akil, Hlér Kristjánsson +2

Quantum information can provide a lens for characterizing the operational implications of spacetime physics. A well-known result in this area is that quantum entanglement is degrad…