Purity and State Fidelity of Quantum Channels via Hamiltonians

Details Purity and State Fidelity of Quantum Channels via Hamiltonians Purity and State Fidelity of Quantum Channels via Hamiltonians

2004-03-09

arxiv.org/abs/quant-ph/0403074v1

Phys. Rev. A 70, 012315 (2004)

Physics

Quantum Physics

7 Pages

Scientific paper

10.1103/PhysRevA.70.012315

We associate to every quantum channel $T$ acting on a Hilbert space $\mathcal{H}$ a pair of Hamiltonian operators over the symmetric subspace of $\mathcal{H}^{\otimes 2}$. The expectation values of these Hamiltonians over symmetric product states give either the purity or the pure state fidelity of $T$. This allows us to analytically compute these measures for a wide class of channels, and to identify states that are optimal with respect to these measures.

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