We present the first explicit connection between quantum computation and lattice problems. Namely, our main result is a solution to the Unique Shortest Vector Problem (SVP) under ...
We show that quantum circuits cannot be made faulttolerant against a depolarizing noise level of ˆθ = (6 − 2 √ 2)/7 ≈ 45%, thereby improving on a previous bound of 50% (du...
Harry Buhrman, Richard Cleve, Monique Laurent, Noa...
A polynomial depth quantum circuit affects, by definition, a poly-local unitary transformation of a tensor product state space. It is a reasonable belief [Fe], [L], [FKW] that, at ...
We shall describe connections between Petri nets, quantum physics and category theory. The view of Net theory as a kind of discrete physics has been consistently emphasized by Carl...
Modern physical theory and modern computational techniques are used to provide conjecture on how nature computes. I utilize time-domain simulation of physical phenomena and build ...