17-21 July 2017
Santiago de Compostela, Facultade de Química
Europe/Madrid timezone

Quantum Computations and Quantum Simulations With Trapped Ca+ Ions

18 Jul 2017, 11:10
50m
Aula Magna (Santiago de Compostela, Facultade de Química)

Aula Magna

Santiago de Compostela, Facultade de Química

Av. das Ciencias s/n, 15701 Santiago de Compostela, A Coruña, Spain
Plenary Plenary II Plenary II

Speaker

Prof. Rainer Blatt

Description

In this talk, the basic toolbox of the Innsbruck quantum information processor based on strings of trapped Ca+ ions will be reviewed. For quantum computation, a scalable Shor algorithm was realized [1] with a string of trapped Ca+ ions. Towards scaling the trapped ion quantum computer, we encode one logical qubit in entangled states distributed over seven trapped-ion qubits. We demonstrate the capability of the code to detect one bit flip, phase flip or a combined error of both, regardless on which of the qubits they occur. Furthermore, we apply combinations of the entire set of logical single-qubit Clifford gates on the encoded qubit to explore its computational capabilities [4]. The quantum toolbox is further applied to carry out both analog and digital quantum simulations. The basic simulation procedure and its application will be discussed for a variety of spin Hamiltonians. Engineered quantum systems offer the opportunity to study emergent phenomena in a precisely controlled and otherwise inaccessible way. We present a spectroscopic technique to study artificial quantum matter and use it for characterizing quasiparticles in a many-body system of trapped atomic ions [5]. Finally, we report the experimental demonstration of a digital quantum simulation of a lattice gauge theory, by realizing (1 + 1)-dimensional quantum electrodynamics (the Schwinger model) on a few-qubit trapped-ion quantum computer [6]. [1] T. Monz et al., Science 351, 1068 (2016). [2] P. Jurcevic et al., Nature 511, 202 (2014). [3] T. Northup and R. Blatt, Nature Photonics 8, 356 (2014). [4] D. Nigg et al., Science 345, 302 (2014). [5] P. Jurcevic et al., Phys. Rev. Lett. 115, 100501 (2015). [6] E. A. Martinez et al., Nature 534, 516 (2016).

Primary author

Prof. Rainer Blatt

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