Qutrit

A qutrit (or quantum trit) is a unit of quantum information that is realized by a 3-level quantum system, that may be in a superposition of three mutually orthogonal quantum states.[1]

The qutrit is analogous to the classical radix-3 trit, just as the qubit, a quantum system described by a superposition of two orthogonal states, is analogous to the classical radix-2 bit.

There is ongoing work to develop quantum computers using qutrits[2][3][4] and qudits in general.[5][6][7]

  1. ^ Nisbet-Jones, Peter B. R.; Dilley, Jerome; Holleczek, Annemarie; Barter, Oliver; Kuhn, Axel (2013). "Photonic qubits, qutrits and ququads accurately prepared and delivered on demand". New Journal of Physics. 15 (5): 053007. arXiv:1203.5614. Bibcode:2013NJPh...15e3007N. doi:10.1088/1367-2630/15/5/053007. ISSN 1367-2630. S2CID 110606655.
  2. ^ Yurtalan, M. A.; Shi, J.; Kononenko, M.; Lupascu, A.; Ashhab, S. (2020-10-27). "Implementation of a Walsh-Hadamard Gate in a Superconducting Qutrit". Physical Review Letters. 125 (18): 180504. arXiv:2003.04879. Bibcode:2020PhRvL.125r0504Y. doi:10.1103/PhysRevLett.125.180504. PMID 33196217. S2CID 128064435.
  3. ^ Morvan, A.; Ramasesh, V. V.; Blok, M. S.; Kreikebaum, J. M.; O’Brien, K.; Chen, L.; Mitchell, B. K.; Naik, R. K.; Santiago, D. I.; Siddiqi, I. (2021-05-27). "Qutrit Randomized Benchmarking". Physical Review Letters. 126 (21): 210504. arXiv:2008.09134. Bibcode:2021PhRvL.126u0504M. doi:10.1103/PhysRevLett.126.210504. hdl:1721.1/143809. PMID 34114846. S2CID 221246177.
  4. ^ Goss, Noah; Morvan, Alexis; Marinelli, Brian; Mitchell, Bradley K.; Nguyen, Long B.; Naik, Ravi K.; Chen, Larry; Jünger, Christian; Kreikebaum, John Mark; Santiago, David I.; Wallman, Joel J.; Siddiqi, Irfan (2022-12-05). "High-fidelity qutrit entangling gates for superconducting circuits". Nature Communications. 13 (1): 7481. arXiv:2206.07216. Bibcode:2022NatCo..13.7481G. doi:10.1038/s41467-022-34851-z. ISSN 2041-1723. PMC 9722686. PMID 36470858.
  5. ^ "Qudits: The Real Future of Quantum Computing?". IEEE Spectrum. 28 June 2017. Retrieved 2021-05-24.
  6. ^ Fischer, Laurin E.; Chiesa, Alessandro; Tacchino, Francesco; Egger, Daniel J.; Carretta, Stefano; Tavernelli, Ivano (2023-08-28). "Universal Qudit Gate Synthesis for Transmons". PRX Quantum. 4 (3): 030327. arXiv:2212.04496. Bibcode:2023PRXQ....4c0327F. doi:10.1103/PRXQuantum.4.030327. S2CID 254408561.
  7. ^ Nguyen, Long B.; Goss, Noah; Siva, Karthik; Kim, Yosep; Younis, Ed; Qing, Bingcheng; Hashim, Akel; Santiago, David I.; Siddiqi, Irfan (2023-12-29). "Empowering high-dimensional quantum computing by traversing the dual bosonic ladder". arXiv:2312.17741 [quant-ph].

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