Minimally disturbing Heisenberg–Weyl symmetric measurements using hard-core collisions of Schrödinger particles

@article{Janzing2006MinimallyDH,
title={Minimally disturbing Heisenberg–Weyl symmetric measurements using hard-core collisions of Schr{\"o}dinger particles},
author={D. Janzing and T. Decker},
journal={Journal of Mathematical Physics},
year={2006},
volume={47},
pages={082102}
}

In a previous paper we have presented a general scheme for the implementation of symmetric generalized measurements (POVMs) on a quantum computer. This scheme is based on representation theory of groups and methods to decompose matrices that intertwine two representations. We extend this scheme in such a way that the measurement is minimally disturbing, i.e., it changes the state vector ∣Ψ⟩ of the system to Π∣Ψ⟩ where Π is the positive operator corresponding to the measured result. Using this… CONTINUE READING