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A measurement scheme is proposed to determine the state of a bosonic two-mode system completely. Without relying on the existence of a reference field, we reconstruct the quantum state from joint number measurement only, in case [ρ,^Nₜₒₜ]0ex0ex=0ex0ex0. Based on an analogy to angular momentum, we have obtained an explicit inversion procedure for the density matrix of the system and discuss its application.
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R. Walser (1997) studied this question.
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