{"id":1766,"date":"2024-05-28T14:53:54","date_gmt":"2024-05-28T18:53:54","guid":{"rendered":"https:\/\/labsites.rochester.edu\/bloklab\/?page_id=1766"},"modified":"2025-06-18T16:59:01","modified_gmt":"2025-06-18T20:59:01","slug":"qudit-quantum-computing","status":"publish","type":"page","link":"https:\/\/labsites.rochester.edu\/bloklab\/research\/qudit-quantum-computing\/","title":{"rendered":"Qudit Quantum Computing"},"content":{"rendered":"

\"\"Beyond binary quantum information<\/h3>\n

While most quantum processors encode binary information in two-level systems (qubits, d=2), the transmon circuit intrinsically features higher-level states owing to it’s cosine potential (figure left). Using these excited states, we are developing quantum processors that use many-level systems (qu-dits<\/em>, d>2) as their elementary building block. Our lab recently measured up to 12 levels in a single transmon (d=12) [1] and demonstrated efficient methods for qudit control and readout [2] inspired by large-angular momentum spins.<\/p>\n

A qudit processor poses a resource-efficient way\u00a0to increase th<\/span>e available Hilbert space and strongly reduce the number of required entangling gates (that are typically the most<\/span> difficult to perform) for a given algorithm. We develop planar qudit processors of coupled transmons, each locally encoding a high-dimensional qudit. A working five-qutrit processor was demonstrated in 2021 at UC Berkeley[3]. On the way to extending these concepts to higher qudit dimension, our lab explores many interesting research questions, including: Can we design a better circuit to encode qudits or is the transmon optimal? Can we employ quantum control techniques, inspired by NMR and quantum optics, to improve single-and mulitple-qudit gates? Can we run quantum computing, simulation -, and sensing protocols that demonstrate a clear qudit advantage over qubits? Is it possible to use a single high-dimensional qudit for quantum error correction?<\/p>\n

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Funded projects<\/h5>\n

\u201cBE NON-LINEAR: Bosonic Encodings in NOise-resilient circuits with strong Non-LINEARity \u201d
\nAFOSR \u2013 Young Investigator Program<\/p>\n

Relevant Publications<\/h5>\n

1 – High Ej\/Ec transmon qudits with up to d=12 levels<\/strong>
\nZ. Wang, R.W. Parker, E. Champion*, and M.S. Blok
\nPhys. Rev. Appl. 23<\/strong>, 034046 (2025)<\/em><\/a> |Arxiv:2407.17407<\/a><\/p>\n

2 – Efficient Control of a Transmon Qudit Using Effective Spin-7\/2 Rotations<\/strong>
\nE. Champion*, Z. Wang*, R.W. Parker and M.S. Blok
\nPhys. Rev. X 15<\/strong>, 021096 (2025)<\/em><\/a> |Arxiv:2405.15857<\/a><\/p>\n

3 – Quantum Information Scrambling in a Superconducting Qutrit Processor<\/strong>
\nM.S. Blok*, V. V. Ramasesh*, T. Schuster, K. O\u2019Brien, J.M. Kreikebaum, D. Dahlen, A. Morvan, B. Yoshida, N. Y. Yao, I. Siddiqi.
\nPhys. Rev. X\u00a0\u00a011<\/strong>, 021010\u00a0(2021)<\/em><\/a>|\u00a0Arxiv:2003.03307<\/a><\/p>\n<\/div>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

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