A universal qudit quantum processor with trapped ions

Ringbauer, Martin; Meth, M.; Postler, Lukas; Stricker, Roman; Blatt, R.; Schindler, Philipp; Monz, Thomas

doi:10.1038/s41567-022-01658-0

Cited by 170 publications

(87 citation statements)

References 40 publications

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“…However, several platforms are outstanding with their ability to generate non-local connectivity between qubits and hence allow to prepare the entangled graph states. Platforms which provide such connectivity are trapped ions [37], Rydberg arrays [21], (artificial) atoms coupled to a cavity [20,38]. In the case of trapped ions, the long-range interaction between two qubits can be achieved by either using the phonon degrees of freedom in an ion crystal [39] or a shuttling approach [40], i.e., moving the ions next to each other and then entangle them.…”

Section: Experimental Feasibilitymentioning

confidence: 99%

Engineering holography with stabilizer graph codes

Anglès¹,

Kasper²,

Huber³

2022

Preprint

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The discovery of holographic codes established a surprising connection between quantum error correction and the AdS/CFT correspondence. Recent technological progress in artificial quantum systems renders the experimental realization of such holographic codes now within reach. Formulating the hyperbolic pentagon code in terms of a stabilizer graph code, we propose an experimental implementation that is tailored to systems with long-range interactions. We show how to obtain encoding and decoding circuits for the hyperbolic pentagon code [Pastawski et al., JHEP 2015:149 (2015], before focusing on a small instance of the holographic code on twelve qubits. Our approach allows to verify holographic properties by partial decoding operations, recovering bulk degrees of freedom from their nearby boundary.

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Section: Experimental Feasibilitymentioning

confidence: 99%

Engineering holography with stabilizer graph codes

Anglès¹,

Kasper²,

Huber³

2022

Preprint

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“…Qudits have been realized with the multiple quantum states of diverse physical systems, including photons [10], trapped ions [11], impurity nuclear spins in semiconductors [12], and superconducting circuits [13]. Here, we focus on a special class of systems, molecular nanomagnets [14][15][16][17][18] (see Fig.…”

Section: Introductionmentioning

confidence: 99%

Optimal Control of Molecular Spin Qudits

et al. 2022

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We demonstrate, numerically, the possibility of manipulating the spin states of molecular nanomagnets with shaped microwave pulses designed with quantum optimal control theory techniques. The stateto-state or full gate transformations can be performed in this way in shorter times than using simple monochromatic resonant pulses. This enhancement in the operation rates can therefore mitigate the effect of decoherence. The optimization protocols and their potential for practical implementations are illustrated by simulations performed for a simple molecular cluster hosting a single Gd 3+ ion. Its eight accessible levels (corresponding to a total spin S = 7/2) allow encoding an eight-level qudit or a system of three coupled qubits. All necessary gates required for universal operation can be obtained with optimal pulses using the intrinsic couplings present in this system. The application of optimal control techniques can facilitate the implementation of quantum technologies based on molecular spin qudits.

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“…Although qudit-based quantum simulators can also be implemented with other platforms such as ultracold mixtures [57], trapped ions [58] and photonic circuits [59], multidimensional tweezer arrays, both dynamically reconfigurable and locally addressable [53,56,[60][61][62][63], satisfy the scalability requirements necessary to address the continuum limit of LGTs. Specifically, here we consider multilevel atoms to encode large gauge-field Hilbert spaces using long-lived qudits [64][65][66].…”

mentioning

confidence: 99%

Hardware Efficient Quantum Simulation of Non-Abelian Gauge Theories with Qudits on Rydberg Platforms

et al. 2022

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Non-Abelian gauge theories underlie our understanding of fundamental forces in nature, and developing tailored quantum hardware and algorithms to simulate them is an outstanding challenge in the rapidly evolving field of quantum simulation. Here we take an approach where gauge fields, discretized in spacetime, are represented by qudits and are time evolved in Trotter steps with multiqudit quantum gates. This maps naturally and hardware efficiently to an architecture based on Rydberg tweezer arrays, where long-lived internal atomic states represent qudits, and the required quantum gates are performed as holonomic operations supported by a Rydberg blockade mechanism. We illustrate our proposal for a minimal digitization of SU(2) gauge fields, demonstrating a significant reduction in circuit depth and gate errors in comparison to a traditional qubit-based approach, which puts simulations of non-Abelian gauge theories within reach of NISQ devices.

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A universal qudit quantum processor with trapped ions

Cited by 170 publications

References 40 publications

Engineering holography with stabilizer graph codes

Engineering holography with stabilizer graph codes

Optimal Control of Molecular Spin Qudits

Hardware Efficient Quantum Simulation of Non-Abelian Gauge Theories with Qudits on Rydberg Platforms

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