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Qudit

From Wikipedia, the free encyclopedia
Unit of information in a quantum computer

Inquantum computing, a qudit (/ˈkjuː/dɪt/) or quantum dit is the generalized unit of quantum information described by a superposition ofd states, where the number of states is an integer equal to or greater than two.

Qudit versus qubit

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A qudit, characterized by d=2 states is aqubit .[1]

Qudits with d states greater than 2 can provide a larger Hilbert space, providing more ways to store and process quantum information.[2][3]

Qudit States

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  • Qubit - Qudit with d=2 states
  • Qutrit - Qudit with d=3 states
  • Ququart - Qudit with d=4 states

Error Correction

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Quantum decoherence is the natural process where quantum information is lost due to environmental interaction andquantum error correction is a technique that actively combats decoherence.

In a paper published September 2025, researchers demonstrate a new hybrid method that encodes information in both light and matter using acat state qudit with d>2 which allows for the detection of photon loss through the parity syndrome by entangling a light pulse with ancillary qubits. This method achieves parallel Bell-pair generation by leveraging the multi-level nature of the qudit.[4]

The first open source qudit stabilizer simulator named "Sdim" was announced November 2025 in a pre-print paper on arXiv.[5]

Qudit Logic Gates

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Aqudit logic gate (or simplyqudit gate) is a basic quantum circuit that acts on a qudit.

To achieve a universal qudit gate, (a gate that can be used to approximate any unitary transformation on a quantum computer to an arbitrary degree of accuracy) a set of gates must include a finite set of single qudit gates and at least one two qudit entangling gate that can create entanglement between qudits.

Use In Measurement

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Quantum information is traditionally used inRamsey interferometry, a technique used for precise measurement across various areas of science and technology.

Qudits with d>2 have shown to increase precision and resolution of quantum measurements. Qutrits, for example, have shown to achieve a twofold increase in resolution compared to qubits without any reduction in measurement contrast.[6]

References

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  1. ^"What is a Qudit? Advantages & Use Cases".www.quera.com. Retrieved2025-09-21.
  2. ^Meth, Michael; Zhang, Jinglei; Haase, Jan F.; Edmunds, Claire; Postler, Lukas; Jena, Andrew J.; Steiner, Alex; Dellantonio, Luca; Blatt, Rainer; Zoller, Peter; Monz, Thomas; Schindler, Philipp; Muschik, Christine; Ringbauer, Martin (2025-03-25)."Simulating two-dimensional lattice gauge theories on a qudit quantum computer".Nature Physics.21 (4):570–576.arXiv:2310.12110.Bibcode:2025NatPh..21..570M.doi:10.1038/s41567-025-02797-w.ISSN 1745-2473.PMC 11999872.PMID 40248572.
  3. ^Meng, Zhe; Liu, Wen-Qiang; Song, Bo-Wen; Wang, Xiao-Yun; Zhang, An-Ning; Yin, Zhang-Qi (2024-02-20)."Experimental realization of high-dimensional quantum gates with ultrahigh fidelity and efficiency".Physical Review A.109 (2) 022612.arXiv:2311.18179.Bibcode:2024PhRvA.109b2612M.doi:10.1103/PhysRevA.109.022612.
  4. ^McIntyre, Z. M.; Coish, W. A. (2025-09-10),Loss-tolerant parallelized Bell-state generation with a hybrid cat qudit,arXiv:2509.08577
  5. ^Kabir, Adeeb; Nguyen, Steven; Ghosh, Sohan; Kiran, Tijil; Kim, Isaac H.; Huang, Yipeng (2025-11-16),Sdim: A Qudit Stabilizer Simulator, arXiv,doi:10.48550/arXiv.2511.12777, arXiv:2511.12777, retrieved2025-11-20
  6. ^Ilikj, Branislav; Vitanov, Nikolay V. (2025-09-08),Ramsey Interferometry with Qudits,arXiv:2509.06290
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