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arXiv:1512.04309 · Quantum Information Processing

Remote two-qubit state creation and its robustness

J. Stolze, A. I. Zenchuk

Published May 23, 2016• 9 citations
arXivHTMLPDF
DOI
10.1007/s11128-016-1345-5

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arXiv:1612.02637•Dec 8, 2016•0 citations
We study the optimization problem for remote one- and two-qubit state creation via a homogeneous communication line of spin-1/2 particles using local unitary transformations of the multiqubit sender and extended receiver. We show that the maximum length of a communication line used for the needed state creation (the critical length) increases as the dimensionality of the sender and extended receiver increases. We use the model with the sender and extended receiver comprising up to ten qubits for the one-qubit state creation and consider the creation of two particular states, the almost pure state and the maximally mixed state. Regarding the two-qubit state creation, we numerically study the dependence of the critical length on a particular triad of independent eigenvalues to be created using the model with a four-qubit sender without an extended receiver.
We study remote creation of coherence (RCC) for a quantum system, A, with the help of quantum operations on another system, B, and one-way classical communication. We show that all the nonincoherent quantum states are useful for RCC and all the incoherent-quantum states are not. The necessary and sufficient conditions of RCC for the quantum operations on system B are presented for pure states. The upper bound of average RCC is derived, giving a relation among the entanglement (concurrence), the RCC of the given quantum state, and the RCC of the corresponding maximally entangled state. Moreover, for two-qubit systems we find a simple factorization law for the average remote-created coherence.
We study the optimization problem for remote one- and two-qubit state creation via a homogeneous spin-1/2 communication line using the local unitary transformations of the multi-qubit sender and extended receiver. We show that the maximal length of a communication line used for the needed state creation (the critical length) increases with an increase in the dimensionality of the sender and extended receiver. The model with the sender and extended receiver consisting of up to 10 nodes is used for the one-qubit state creation and we consider two particular states: the almost pure state and the maximally mixed one. Regarding the two-qubit state creation, we numerically study the dependence of the critical length on a particular triad of independent eigenvalues to be created, the model with four-qubit sender without an extended receiver is used for this purpose.