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19 papers · 2 filters
Quantum-to-classical transition via quantum cellular automata
Pedro C. S. Costa
A quantum cellular automaton (QCA) is an abstract model consisting of an array of finite-dimensional quantum systems that evolves in discrete time by local unitary operations. Here…
Quantum-limited estimation of range and velocity
Zixin Huang, Cosmo Lupo, Pieter Kok
The energy-time uncertainty relation puts a fundamental limit on the precision of radars and lidars for the estimation of range and velocity. The precision in the estimation of the…
KAM-Stability for Conserved Quantities in Finite-Dimensional Quantum Systems
Daniel Burgarth, Paolo Facchi, Hiromichi Nakazato +2
We show that for any finite-dimensional quantum systems the conserved quantities can be characterized by their robustness to small perturbations: for fragile symmetries small pertu…
Eternal Adiabaticity
Daniel Burgarth, Paolo Facchi, Hiromichi Nakazato +2
We iteratively apply a recently formulated adiabatic theorem for the strong-coupling limit in finite-dimensional quantum systems. This allows us to improve approximations to a pert…
Even more efficient quantum computations of chemistry through tensor hypercontraction
Joonho Lee, Dominic W. Berry, Craig Gidney +4
We describe quantum circuits with only Toffoli complexity that block encode the spectra of quantum chemistry Hamiltonians in a basis of arbitrary (e.g.,…
Quantum Distance to Uncontrollability and Quantum Speed Limits
Daniel Burgarth, Jeff Borggaard, Zoltán Zimborás
Distance to Uncontrollability is a crucial concept in classical control theory. Here, we introduce Quantum Distance to Uncontrollability as a measure how close a universal quantum…