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Indicating with { Lr† } r and { Rr† } r the Kraus operators of the operator sum representation of ΦL and ΦR, respectively, we can write [Lr] ℓ1, ℓ2, ℓ3 u1, u2, u3 = [λχλχ λ] r1, ℓ1, ℓ2, ℓ3, r2, r3 u1, u2, u3 and [Rr] ℓ1, ℓ2, ℓ3 u1, u2, u3 = [λχλχλ] r1, r2, ℓ1, ℓ2, ℓ3, r3 u1, u2, u3 with r ≡ (r1, r2, r3) and with the product λχ and being the tensors of elements [λχ] ℓ1, ℓ2, ℓ3 u1, u2 ≡ ∑ i λ ℓ1, i u1 χ ℓ2, ℓ3 i, u2 and [χλ] ℓ1, ℓ2, ℓ3 u1, u2 ≡ ∑ i χ ℓ1, ℓ2 u1, i λ i, ℓ3 u2.
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Indicating with { Lr† } r and { Rr† } r the Kraus operators of the operator sum representation of ΦL and ΦR, respectively, we can write [Lr] ℓ1, ℓ2, ℓ3 u1, u2, u3 = [λχλχ λ] r1, ℓ1, ℓ2, ℓ3, r2, r3 u1, u2, u3 and [Rr] ℓ1, ℓ2, ℓ3 u1, u2, u3 = [λχλχλ] r1, r2, ℓ1, ℓ2, ℓ3, r3 u1, u2, u3 with r≡ (r1, r2, r3) and with the product λχ and being the tensors of elements [λχ] ℓ1, ℓ2, ℓ3 u1, u2 ≡ ∑ i λ ℓ1, i u1 χ ℓ2, ℓ3 i, u2 and [χλ] ℓ1, ℓ2, ℓ3 u1, u2 ≡ ∑i χ ℓ1, ℓ2 u1, i λ i, ℓ3 u2.
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