Abstract
We present a mathematical proof of the algorithm allowing one to generate all—symmetric and nonsymmetric—total angular momentum eigenstates in remote matter qubits by projective measurements, proposed in Maser et al. [Phys. Rev. A 79, 033833 (2009)]. By deriving a recursion formula for the algorithm we show that the generated states are equal to the total angular momentum eigenstates obtained via the usual quantum-mechanical coupling of angular momenta. In this way we demonstrate that the algorithm is able to simulate the coupling of spin-1/2 systems, and to implement the required Clebsch-Gordan coefficients, even though the particles never directly interact with each other.
- Received 20 July 2012
DOI:https://doi.org/10.1103/PhysRevA.86.052308
©2012 American Physical Society