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We have devised an optical scheme for the recently proposed protocol forencoding two qubits into one qutrit. In this protocol, Alice encodes anarbitrary pure product state of two qubits into a state of one qutrit. Bob canthen restore error-free any of the two encoded qubit states but not both ofthem simultaneously. We have successfully realized this scheme experimentallyusing spatial-mode encoding. Each qubit (qutrit) was represented by a singlephoton that could propagate through two (three) separate fibers. Wetheoretically propose two generalizations of the original protocol. We havefound a probabilistic operation that enables to retrieve both qubitssimultaneously with the average fidelity above 90% and we have proposedextension of the original encoding transformation to encode N qubits into one(N+1)-dimensional system.Comment: 6 pages, 3 figures, RevTeX

Optical implementation of the encoding of two qubits to a single qutrit