Entanglement of spin qubits involving pure DM interaction
01 Nov 2017-Vol. 263, Iss: 2, pp 022001
TL;DR: In this paper, the authors studied the system of three spin qubits exhibiting pure Dzialoshinskii-Moriya interaction, shortly DM interaction, and found that higher the DM interaction strength, shorter will the duration of two-qubit gate operations.
Abstract: In this work, we study the system of three spin qubits exhibiting pure Dzialoshinskii- Moriya interaction, shortly DM interaction. The dynamics and the concurrence - the measure of the entanglement, are analyzed. It is found that higher the DM interaction strength, shorter will be the duration of two-qubit gate operations.
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TL;DR: In this article, an exact formula for the entanglement of formation for all mixed states of two qubits having no more than two nonzero eigenvalues was given, and evidence suggests that the formula is valid for all states of this system.
Abstract: The ``entanglement of formation'' of a mixed state \ensuremath{\rho} of a bipartite quantum system can be defined as the minimum number of singlets needed to create an ensemble of pure states that represents \ensuremath{\rho}. We find an exact formula for the entanglement of formation for all mixed states of two qubits having no more than two nonzero eigenvalues, and we report evidence suggesting that the formula is valid for all states of this system.
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TL;DR: In this paper, a spin chain is used to perform universal nonadiabatic holonomic two-qubit entanglers with any arbitrary entangling power and the proposed gates are all electric and geometric, which would help to realize fast and robust entangling gates on spin qubits.
Abstract: Producing and maintaining entanglement reside at the heart of the optimal construction of quantum operations and are fundamental issues in the realization of universal quantum computation We here introduce a setup of spin qubits that allows the geometric implementation of entangling gates between the register qubits with any arbitrary entangling power We show this by demonstrating a circuit through a spin chain, which performs universal nonadiabatic holonomic two-qubit entanglers The proposed gates are all electric and geometric, which would help to realize fast and robust entangling gates on spin qubits This family of entangling gates contains gates that are as efficient as the cnot gate in quantum algorithms We examine the robustness of the circuit to some extent
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TL;DR: In this paper, heat capacity and magnetic-susceptibility measurements at low temperatures on single crystals of RbCo${\mathrm{Cl}}_{3}$\ifmmode\cdot\else\textperiodcentered\fi{}2${H}}_{2}$O are described, which indicate that this material is the first reported example of a magnet which can be formally described as having a primarily onedimensional Dzyaloshinsky-Moriya-like character.
Abstract: Heat-capacity and magnetic-susceptibility measurements at low temperatures on single crystals of RbCo${\mathrm{Cl}}_{3}$\ifmmode\cdot\else\textperiodcentered\fi{}2${\mathrm{H}}_{2}$O are described here which indicate that this material is the first reported example of a magnet which can be formally described as having a primarily one-dimensional Dzyaloshinsky-Moriya-like character. Although the compound is not isomorphic to its Cs analog, there are some similarities in their magnetic behavior. Specifically, RbCo${\mathrm{Cl}}_{3}$\ifmmode\cdot\else\textperiodcentered\fi{}2${\mathrm{H}}_{2}$O magnetically orders at ${T}_{N}=2.94\ifmmode\pm\else\textpm\fi{}0.01$ K and displays spin canting with an unusual amount of anisotropy observed in the single-crystal paramagnetic susceptibilities. The data have been fit using a linear-chain model in which the symmetric part of the intrachain spin-spin interaction is relatively small compared to the Dzyaloshinsky-Moriya antisymmetric contribution. Although the model does not result in unique predictions for the exchange parameters, the present data can be described with symmetric and antisymmetric exchange parameters of $\frac{J}{k}=0$ and $|\frac{D}{k}|=59$ K, respectively. The spectroscopic splitting parameters of ${g}_{a}=4.12$ and ${g}_{{c}^{\ensuremath{'}}}=5.2$ have also been determined from the fits. The results are consistent with the presence of only two sublattices which are severely canted with respect to each other. The spins apparently lie in the $b{c}^{\ensuremath{'}}$ plane and the angle between the sublattices approaches 90\ifmmode^\circ\else\textdegree\fi{}.
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1 citations