Optimal transfer of an unknown state via a bipartite operation

Abstract

A fundamental task in quantum information science is to transfer an unknown state from particle $A$ to particle $B$ (often in remote space locations) by using a bipartite quantum operation ${\mathcal{E}}^{AB}$. We suggest the power of ${\mathcal{E}}^{AB}$ for quantum state transfer (QST) to be the maximal average probability of QST over the initial states of particle $B$ and the identifications of the state vectors between $A$ and $B$. We find the QST power of a bipartite quantum operations satisfies four desired properties between two $d$-dimensional Hilbert spaces. When $A$ and $B$ are qubits, the analytical expressions of the QST power is given. In particular, we obtain the exact results of the QST power for a general two-qubit unitary transformation.

6 pages, 1 figure

References in corpus (7)

• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Fidelity of quantum operations
• Perfect state transfer on a spin-chain without state initialization
• Number-Theoretic Nature of Communication in Quantum Spin Systems
• Simulations of Information Transport in Spin Chains
• State Transfer and Spin Measurement
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Cited by in corpus (4)

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