Publisher’s Note: Sympathetic cooling of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>9</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">Be</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>24</mml:mn></mml:mrow></

Barrett, M. D.; DeMarco, Brian; Schaetz, Tobias; Meyer, V.; Leibfried, D.; Britton, J.; Chiaverini, John; Itano, Wayne M.; Jelenković, B. M.; Jost, John D.; Langer, C.; Rosenband, T.

doi:10.1103/physreva.68.059904

Cited by 122 publications

(178 citation statements)

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“…In the case of P N S the situation is the opposite: its facets are easy to construct, since they are the (md) n positivity constraints on every probability (1), but its vertices, known as extreme non-signalling boxes, are hard to find. In this case only few scenarios have been solved [26,59,111]. For further benefits let us eventually mention that in the case d = 2, which is the case we mostly consider in this work, it is convenient to re-label outcomes from 0, 1 to ±1 (i.e., a → (−1) a ), and re-express all probabilities (1) in terms of expectation values…”

Section: (I)mentioning

confidence: 99%

Nonlocality in many-body quantum systems detected with two-body correlators

et al. 2015

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Contemporary understanding of correlations in quantum many-body systems and in quantum phase transitions is based to a large extent on the recent intensive studies of entanglement in many-body systems. In contrast, much less is known about the role of quantum nonlocality in these systems, mostly because the available multipartite Bell inequalities involve high-order correlations among many particles, which are hard to access theoretically, and even harder experimentally. Standard, "theorist-and experimentalist-friendly" many-body observables involve correlations among only few (one, two, rarely three...) particles. Typically, there is no multipartite Bell inequality for this scenario based on such low-order correlations. Recently, however, we have succeeded in constructing multipartite Bell inequalities that involve two-and one-body correlations only, and showed how they revealed the nonlocality in many-body systems relevant for nuclear and atomic physics [Science 344, 1256[Science 344, (2014. With the present contribution we continue our work on this problem. On the one hand, we present a detailed derivation of the above Bell inequalities, pertaining to permutation symmetry among the involved parties. On the other hand, we present a couple of new results concerning such Bell inequalities. First, we characterize their tightness. We then discuss maximal quantum violations of these inequalities in the general case, and their scaling with the number of parties. Moreover, we provide new classes of two-body Bell inequalities which reveal nonlocality of the Dicke states-ground states of physically relevant and experimentally realizable Hamiltonians. Finally, we shortly discuss various scenarios for nonlocality detection in mesoscopic systems of trapped ions or atoms, and by atoms trapped in the vicinity of designed nanostructures.

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Section: (I)mentioning

confidence: 99%

Nonlocality in many-body quantum systems detected with two-body correlators

et al. 2015

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“…Certainly, non-optimized fast transport of qubit ions into the processor unit followed by sympathetic cooling of a different ion species [17,18] would be an alternative strategy. However, the necessary cooling time would render the overall computational time even slower.…”

Section: Introductionmentioning

confidence: 99%

Optimization of segmented linear Paul traps and transport of stored particles

Schulz

Poschinger

Singer³

et al. 2006

Fortschritte der Physik

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Single ions held in linear Paul traps are promising candidates for a future quantum computer. Here, we discuss a two-layer microstructured segmented linear ion trap. The radial and axial potentials are obtained from numeric field simulations and the geometry of the trap is optimized. As the trap electrodes are segmented in the axial direction, the trap allows the transport of ions between different spatial regions. Starting with realistic numerically obtained axial potentials, we optimize the transport of an ion such that the motional degrees of freedom are not excited, even though the transport speed far exceeds the adiabatic regime. In our optimization we achieve a transport within roughly two oscillation periods in the axial trap potential compared to typical adiabatic transports that take of the order 10 2 oscillations. Furthermore heating due to quantum mechanical effects is estimated and suppression strategies are proposed.

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“…For long-time quantum computation, to have the ions constantly remain at a certain temperature, it requires sympathetic cooling [31,32], in which case a subset of ions (cooling ions) are continuously laser cooled, bringing down the temperature of other ions (the computational ions) through the heat propagation enabled by the Coulomb interaction in the ion crystal. Sympathetic cooling has been studied for small systems with a few ions [33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Sympathetic cooling in a large ion crystal

Lin

Duan

2015

Quantum Inf Process

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We analyze the dynamics and steady state of a linear ion array when some of the ions are continuously laser cooled. We calculate the ions' local temperature measured by its position fluctuation under various trapping and cooling configurations, taking into account background heating due to the noisy environment. For a large system, we demonstrate that by arranging the cooling ions evenly in the array, one can suppress the overall heating considerably. We also investigate the effect of different cooling rates and find that the optimal cooling efficiency is achieved by an intermediate cooling rate. We discuss the relaxation time for the ions to approach the steady state, and show that with periodic arrangement of the cooling ions, the cooling efficiency does not scale down with the system size.

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Publisher’s Note: Sympathetic cooling of9Be+and24

Cited by 122 publications

References 0 publications

Nonlocality in many-body quantum systems detected with two-body correlators

Nonlocality in many-body quantum systems detected with two-body correlators

Optimization of segmented linear Paul traps and transport of stored particles

Sympathetic cooling in a large ion crystal

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