Events
Qualifying ExamAdventures in High-Dimensional Quantum Codes |
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Friday, October 31, 2025, 11:00am - 12:30pm |
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Speaker: Adeeb Kabir
Bio
Location : CoRE 301
Committee:
Prof. Yipeng Huang
Prof. Mario Szegedy
Prof. Emina Soljanin
Prof. Tomasz Imielinski
Event Type: Qualifying Exam
Abstract: Quantum computers have steadily improved over the last decade, but developing fault-tolerant quantum computing (FTQC) techniques, required for useful, universal computation remains an ongoing effort. Key elements of FTQC such as error-correcting codes are supported by a rich bed of stabilizer simulation software such as Stim and CHP, which are essential for numerically characterizing these protocols at realistic scales. Namely, tasks like benchmarking codes' practical thresholds under different error decoding strategies can only be studied via simulation. Recently, experimental groups have built nascent high-dimensional quantum hardware, known as qudits, which have a myriad of attractive properties for algorithms and FTQC. Despite the stage being set for early high-dimensional FTQC, there are no widely available qudit stabilizer simulators. We introduce Sdim, the first open-source realization of such a simulator for all dimensions. We demonstrate its correctness against existing state vector simulations and benchmark its performance in evaluating and sampling quantum circuits. Qudits, while being built out of the same devices as qubits, have access to states on a larger Hilbert space and a potentially richer structure for error correction, but neither current simulation nor experiment have supported a clear affirmative or negative. This simulator is the essential computational infrastructure by which we may systematically answer these questions, and the answers will guide error-correction efforts down the most fruitful paths towards FTQC.
Organization:
Contact Professor Yipeng Huang
Zoom Link: https://rutgers.zoom.us/j/95789446086?pwd=n2wvujHjjfBfFCbRncvOUA5tku9KY3.1