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The swap operator is defined by S Ak A k′ |ψ Ak |Ak ′ = |Ak |ψ Ak ′ for all |ψ Ak, |Ak ′. It is Hermitian and unitary.
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The swap operator is defined by S Ak A k′ |ψ Ak |Ak ′ = |Ak |ψ Ak ′ for all |ψ Ak, |Ak ′. It is Hermitian and unitary.
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The method we chose to verify this is to calculate the spectrum of the map E and show that there is exactly one eigenoperator with maximal eigenvalue |λ| =1. As discussed in this is in fact sufficient to show that the channel E is relaxing.
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The method we chose to verify this is to calculate the spectrum of the map E and show that there is exactly one eigenoperator with maximal eigenvalue |λ| =1. As discussed in this is in fact sufficient to show that the channel E is relaxing.
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19
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Despite their physical similarity, used a quantum master equation approach and used quantum stochastic reservoirs to model the dynamics. A rigorous comparison of these models with the approach used here is beyond the scope of this paper.
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Despite their physical similarity, used a quantum master equation approach and used quantum stochastic reservoirs to model the dynamics. A rigorous comparison of these models with the approach used here is beyond the scope of this paper.
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