Researcher

Richard Cleve

Also known as Richard E Cleve

Richard Cleve is a computer scientist whose work on quantum algorithms and computational complexity connects to AI through the shared question of what computation can do. He earned mathematics degrees at Waterloo and a computer science PhD at Toronto, then worked at Berkeley and Calgary before joining Waterloo as a professor and IQC Chair in 2004. His coauthored research set out universal quantum gates, used interference to organize quantum algorithms, and established bounds for resources in quantum position-verification schemes. He received the CAP/CRM Prize in 2008 and became a Fellow of the Royal Society of Canada in 2010. As of October 2026, he is a professor and IQC Chair at Waterloo and teaches quantum information processing.

Timeline

  1. 1983–1989

    Mathematics and computer science degrees

    He earns a BMath in Pure Mathematics and Computer Science at Waterloo in 1983, an MMath in Pure Mathematics in 1984, and a computer science PhD at Toronto in 1989, specializing in computational complexity and cryptography.

  2. 1988–1990

    From Berkeley to Calgary

    He works as a postdoctoral fellow at Berkeley's International Computer Science Institute from 1988 to 1990, then joins the University of Calgary's computer science faculty in 1990.

  3. 1994–1995

    Elementary quantum gates

    He becomes interested in quantum information processing in 1994. In 1995, he coauthors a paper showing that one-bit quantum gates and a two-bit exclusive-or gate can compose any unitary operation.

  4. 1997

    Quantum Algorithms Revisited

    With Artur Ekert, Chiara Macchiavello, and Michele Mosca, he presents Quantum Algorithms Revisited in 1997, using multi-particle interference to review and improve quantum algorithms.

  5. Since August 2004

    Professor and IQC chair

    He joins Waterloo's School of Computer Science in August 2004 as a professor and holds the IQC Chair in Quantum Computing.

  6. 2008–2010

    The CAP/CRM and RSC honours

    He receives the CAP/CRM Prize in Theoretical and Mathematical Physics in 2008 and becomes a Fellow of the Royal Society of Canada in 2010.

  7. 2025

    Quantum position-verification bounds

    With Vahid Asadi, Eric Culf, and Alex May, he proves a 2025 communication-complexity lower bound on the quantum gates and measurements needed to compute functions used in two position-verification schemes.

  8. As of October 2026

    Teaching quantum information

    He is a professor and IQC Chair at Waterloo and teaches QIC 710, Introduction to Quantum Information Processing, in Fall 2026.

Sources and credits

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  1. Richard Cleve | Institute for Quantum Computing | University of Waterloo uwaterloo.ca. Checked 15 October 2026.
  2. Elementary gates for quantum computation for Physical Review A - IBM Research d3ccyth396mz21.cloudfront.net. Checked 15 October 2026.
  3. [quant-ph/9708016] Quantum Algorithms Revisited arxiv.org. Checked 15 October 2026.
  4. IQC faculty member named Royal Society Fellow | Institute for Quantum Computing | University of Waterloo uwaterloo.ca. Checked 15 October 2026.
  5. Linear gate bounds against natural functions for position-verification – Quantum quantum-journal.org. Checked 15 October 2026.
  6. Alternate QIC 710 F26 cleve.iqc.uwaterloo.ca. Checked 15 October 2026.