Qudits and High-Dimensional Quantum Computing

Wang, Yuchen; Hu, Zixuan; Sanders, Barry C.; Kais, Sabre

doi:10.3389/fphy.2020.589504

Cited by 298 publications

(210 citation statements)

References 157 publications

(278 reference statements)

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“…Moreover, our simulations show that, by optimizing the experimental conditions, it is also possible to address subsequent nuclear spin transitions ( Figures S17 and S18 ). The individual addressability of the nuclear transitions, without affecting other nuclear states, fulfills an important requirement for the implementation of 1 as a coupled qubit–qudit unit for quantum logic operations, 28 e.g., a qubit with embedded quantum-error correction. 49 In addition, given the rather large hyperfine coupling A z ≈ 500 MHz ≈ 25 mK, initialization of the system can be achieved by cooling.…”

Section: Resultsmentioning

confidence: 99%

Radiofrequency to Microwave Coherent Manipulation of an Organometallic Electronic Spin Qubit Coupled to a Nuclear Qudit

et al. 2021

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We report here a comprehensive characterization of a 3d organometallic complex, [V(Cp) 2 Cl 2 ] (Cp = cyclopentadienyl), which can be considered as a prototypical multilevel nuclear qudit (nuclear spin I = 7/2) hyperfine coupled to an electronic qubit (electronic spin S = 1/2). By combining complementary magnetic resonant techniques, such as pulsed electron paramagnetic resonance (EPR) and broadband nuclear magnetic resonance (NMR), we extensively characterize its Spin Hamiltonian parameters and its electronic and nuclear spin dynamics. Moreover, we demonstrate the possibility to manipulate the qubit–qudit multilevel structure by resonant microwave and radiofrequency pulses, driving coherent Rabi oscillations between targeted electronuclear states. The obtained results demonstrate that this simple complex is a promising candidate for quantum computing applications.

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Section: Resultsmentioning

confidence: 99%

Radiofrequency to Microwave Coherent Manipulation of an Organometallic Electronic Spin Qubit Coupled to a Nuclear Qudit

et al. 2021

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“…23,24 Indeed, the presence of many low-energy levels, with long coherence and easily accessible through microwave or radio-frequency pulses opens a range of new possibilities. By encoding information in multi-level (qudit) systems, the number of units and operations required to implement an algorithm [25][26][27][28] could be signicantly reduced, compared to the conventional, two-level encoding. For instance, the extra levels of the qudit can be used to encode qubits with embedded quantum-error correction, a fundamental step to make the quantum hardware resistant to environmental noise [29][30][31][32][33][34] and still far from being realized even by the most advanced technologies.…”

Section: Introductionmentioning

confidence: 99%

Controlled coherent dynamics of [VO(TPP)], a prototype molecular nuclear qudit with an electronic ancilla

et al. 2021

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“…This algorithm can determine whether a function f (x) is constant or balanced using only one function evaluation. In the case of qudits, the Hadamard gate is replaced by the GQF T gate, but the analysis to identify a function as constant or balanced is similar to that for the twodimensional case; if each x-register qudit returns 0, it is a constant function; otherwise, the function is balanced [15].…”

Section: Deutsch-jozsa Algorithmmentioning

confidence: 99%

“…Different physical platforms can be used to implement high-dimensional quantum systems [15], such as photons [13,[16][17][18][19][20], trapped ions [21,22], superconducting systems [23,24], and molecules [25][26][27]. The practical application of these qudit-based systems is a very active research field with great potential.…”

Section: Introductionmentioning

confidence: 99%

QuantumSkynet: A High Dimensional Quantum Computing Simulator

Giraldo-Carvajal

2020

Frontiers in Optics / Laser Science

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The use of classical computers to simulate quantum computing has been successful in aiding the study of quantum algorithms and circuits that are too complex to examine analytically. Current implementations of quantum computing simulators are limited to two-level quantum systems. Recent advances in high-dimensional quantum computing systems have demonstrated the viability of working with multilevel superposition and entanglement. These advances allow an agile increase in the number of dimensions of the system while maintaining quantum entanglement, achieving higher encoding of information and making quantum algorithms less vulnerable to decoherence and computational errors. In this paper, we introduce QuantumSkynet, a novel high-dimensional cloud-based quantum computing simulator. This platform allows simulations of qudit-based quantum algorithms. We also propose a unified generalization of high-dimensional quantum gates, which are available for simulations in QuantumSkynet. Finally, we report simulations and their results for qudit-based versions of the Deutsch-Jozsa and quantum phase estimation algorithms using QuantumSkynet.

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Qudits and High-Dimensional Quantum Computing

Cited by 298 publications

References 157 publications

Radiofrequency to Microwave Coherent Manipulation of an Organometallic Electronic Spin Qubit Coupled to a Nuclear Qudit

Radiofrequency to Microwave Coherent Manipulation of an Organometallic Electronic Spin Qubit Coupled to a Nuclear Qudit

Controlled coherent dynamics of [VO(TPP)], a prototype molecular nuclear qudit with an electronic ancilla

QuantumSkynet: A High Dimensional Quantum Computing Simulator

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