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Microwave quantum logic gates for trapped ions

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TLDR
The approach, which involves integrating the quantum control mechanism into the trapping device in a scalable manner, could be applied to quantum information processing, simulation and spectroscopy.
Abstract
Control over physical systems at the quantum level is important in fields as diverse as metrology, information processing, simulation and chemistry. For trapped atomic ions, the quantized motional and internal degrees of freedom can be coherently manipulated with laser light. Similar control is difficult to achieve with radio-frequency or microwave radiation: the essential coupling between internal degrees of freedom and motion requires significant field changes over the extent of the atoms' motion, but such changes are negligible at these frequencies for freely propagating fields. An exception is in the near field of microwave currents in structures smaller than the free-space wavelength, where stronger gradients can be generated. Here we first manipulate coherently (on timescales of 20 nanoseconds) the internal quantum states of ions held in a microfabricated trap. The controlling magnetic fields are generated by microwave currents in electrodes that are integrated into the trap structure. We also generate entanglement between the internal degrees of freedom of two atoms with a gate operation suitable for general quantum computation; the entangled state has a fidelity of 0.76(3), where the uncertainty denotes standard error of the mean. Our approach, which involves integrating the quantum control mechanism into the trapping device in a scalable manner, could be applied to quantum information processing, simulation and spectroscopy.

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Quantum simulations with trapped ions

TL;DR: In this paper, the authors present a review of experiments in controlling and manipulating trapped atomic ions, together with the methods and tools that have enabled them, and provide an outlook on future directions in the field.
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Trapped-ion quantum computing: Progress and challenges

TL;DR: In this article, the authors review the state of the field of trapped ion quantum computing and discuss what is being done, and what may be required, to increase the scale of trapped ions quantum computers while mitigating decoherence and control errors.
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Building logical qubits in a superconducting quantum computing system

TL;DR: In this paper, the authors describe the important route towards a logical memory with superconducting qubits, employing a rotated version of the surface code, and describe the current status of technology with regards to interconnected super-conducting-qubit networks.
References
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Journal ArticleDOI

Elementary gates for quantum computation.

TL;DR: U(2) gates are derived, which derive upper and lower bounds on the exact number of elementary gates required to build up a variety of two- and three-bit quantum gates, the asymptotic number required for n-bit Deutsch-Toffoli gates, and make some observations about the number of unitary operations on arbitrarily many bits.
Journal ArticleDOI

Quantum dynamics of single trapped ions

TL;DR: Theoretical and experimental work on radio-frequency (Paul) traps is reviewed in this paper, with a focus on ions trapped in radiofrequency traps, which are ideal for quantum-optical and quantum-dynamical studies under well controlled conditions.
Journal ArticleDOI

Experimental entanglement of four particles

TL;DR: This work implements a recently proposed entanglement technique to generate entangled states of two and four trapped ions using a single laser pulse, and the method can in principle be applied to any number of ions.
Journal ArticleDOI

Entangled states of trapped atomic ions

TL;DR: Experiments show that just a few entangled trapped ions can be used to improve the precision of measurements, and if the entanglement in such systems can be scaled up to larger numbers of ions, simulations that are intractable on a classical computer might become possible.
Journal ArticleDOI

Quantum computation with ions in thermal motion

TL;DR: In this article, an implementation of quantum logic gates via virtual vibrational excitations in an ion-trap quantum computer was proposed. But it is not yet feasible to implement quantum computation with ions whose vibrations are strongly coupled to a thermal reservoir.
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