Symmetric construction of reference-frame-free qudits

Details Symmetric construction of reference-frame-free qudits Symmetric construction of reference-frame-free qudits

2008-02-12

arxiv.org/abs/0802.1609v2

Phys. Rev. A 78, 052328 (2008)

Physics

Quantum Physics

5 pages, typos corrected

Scientific paper

10.1103/PhysRevA.78.052328

By exploiting a symmetric scheme for coupling $N$ spin-1/2 constituents (the physical qubits) to states with total angular momentum $N/2-1$, we construct rotationally invariant logical qudits of dimension $d=N-1$. One can encode all qudit states, and realize all qudit measurements, by this construction. The rotational invariance of all relevant objects enables one to transmit quantum information without having aligned reference frames between the parties that exchange the qudits. We illustrate the method by explicit constructions of reference-frame-free qubits and qutrits and, for the qubit case, comment on possible experimental implementations.

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