Robustness of spin-coupling distributions for perfect quantum state transfer

Zwick, Analia; Álvarez, Gonzalo; Stolze, Joachim; Osenda, Omar

doi:10.1103/physreva.84.022311

Cited by 87 publications

(131 citation statements)

References 56 publications

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“…On the other hand, the presence of disorder in the couplings or in a magnetic field acting on the quantum channel also should have a negligible influence on the efficiency of the 2-QST protocol we are proposing here, regardless of N , as long as the spatial distribution of the eigenvectors depicted in Fig. 2 is not significantly affected [49][50][51].…”

Section: B Quasi Rabi-like 2-qstmentioning

confidence: 99%

Transfer of arbitrary two-qubit states via a spin chain

et al. 2015

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We investigate the fidelity of the quantum state transfer (QST) of two qubits by means of an arbitrary spin-1 2 network, on a lattice of any dimensionality. Under the assumptions that the network Hamiltonian preserves the magnetization and that a fully polarized initial state is taken for the lattice, we obtain a general formula for the average fidelity of the two qubits QST, linking it to the one-and two-particle transfer amplitudes of the spin excitations among the sites of the lattice. We then apply this formalism to a 1D spin chain with XX-Heisenberg type nearest-neighbour interactions adopting a protocol that is a generalization of the single qubit one proposed in Paganelli et al. [Phys. Rev. A 87, 062309 (2013)]. We find that a high-quality two qubit QST can be achieved provided one can control the local fields at sites near the sender and receiver. Under such conditions, we obtain an almost perfect transfer in a time that scales either linearly or, depending on the spin number, quadratically with the length of the chain.

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Section: B Quasi Rabi-like 2-qstmentioning

confidence: 99%

Transfer of arbitrary two-qubit states via a spin chain

et al. 2015

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“…State transfer schemes are generally robust against static imperfections in the couplings [63,64]. On the other hand, we explicitly test the robustness of our scheme against dynamical environmental effect, specifically dephasing due to spontaneous emission, which represents the main source of decoherence in optical lattices.…”

Section: Environmental Effectsmentioning

confidence: 99%

NOON states via a quantum walk of bound particles

et al. 2017

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Tight-binding lattice models allow the creation of bound composite objects which, in the strong-interacting regime, are protected against dissociation. We show that a local impurity in the lattice potential can generate a coherent split of an incoming bound particle wave-packet which consequently produces a NOON state between the endpoints. This is non trivial because when finite lattices are involved, edge-localization effects make their use for non-classical state generation and information transfer challenging. We derive an effective model to describe the propagation of bound particles in a Bose-Hubbard chain. We introduce local impurities in the lattice potential to inhibit localization effects and to split the propagating bound particle, thus enabling the generation of distant NOON states. We analyze how minimal engineering transfer schemes improve the transfer fidelity and we quantify the robustness to typical decoherence effects in optical lattice implementations. Our scheme potentially has an impact on quantum-enhanced atomic interferometry in a lattice.

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“…This proposal is immune to some significant types of disorders and does not need to manipulate individual spins. In contrast, by manipulating the individual spin- * To whom correspondence should be addressed: yixx@nenu.edu.cn spin couplings, Zwick and co-workers [23,24] investigated the performance for quantum state transfer and showed its robustness against static perturbations.…”

Section: Introductionmentioning

confidence: 99%

Robust state transfer with high fidelity in spin-1/2 chains by Lyapunov control

Shi¹,

Zhao²

2015

Phys. Rev. A

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Based on the Lyapunov control, we present a scheme to realize state transfer with high fidelity by only modulating the boundary spins in a quantum spin-1/2 chain. Recall that the conventional transmission protocols aim at non-stationary state (or information) transfer from the first spin to the end spin at a fixed time. The present scheme possesses the following advantages. First, the scheme does not require precise manipulations of the control time. Second, it is robust against uncertainties in the initial states and fluctuations in the control fields. Third, the controls are exerted only on the boundary sites of the chain. It works for variable spin-1/2 chains with different periodic structures and has well scalability. The feasibility to replace the control fields by square pules is explored, which simplifies the realization in experiments.

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Robustness of spin-coupling distributions for perfect quantum state transfer

Cited by 87 publications

References 56 publications

Transfer of arbitrary two-qubit states via a spin chain

Transfer of arbitrary two-qubit states via a spin chain

NOON states via a quantum walk of bound particles

Robust state transfer with high fidelity in spin-1/2 chains by Lyapunov control

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