Simulating the coupling of angular momenta in distant matter qubits

C. Ammon, A. Maser, U. Schilling, T. Bastin, and J. von Zanthier
Phys. Rev. A 86, 052308 – Published 6 November 2012

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 N spin-1/2 systems, and to implement the required Clebsch-Gordan coefficients, even though the particles never directly interact with each other.

  • Figure
  • Received 20 July 2012

DOI:https://doi.org/10.1103/PhysRevA.86.052308

©2012 American Physical Society

Authors & Affiliations

C. Ammon1, A. Maser1,2, U. Schilling1,2, T. Bastin3, and J. von Zanthier1,2,*

  • 1Institut für Optik, Information und Photonik, Universität Erlangen-Nürnberg, D-91058 Erlangen, Germany
  • 2Erlangen Graduate School in Advanced Optical Technologies (SAOT), Universität Erlangen–Nürnberg, 91052 Erlangen, Germany
  • 3Institut de Physique Nucléaire, Atomique et de Spectroscopie, Université de Liège, 4000 Liège, Belgium

  • *joachim.vonzanthier@physik.uni-erlangen.de; http://www.optik.uni-erlangen.de/jvz/

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Issue

Vol. 86, Iss. 5 — November 2012

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