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Mark Howard

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Mark Howard

DR

 https://orcid.org/0000-0002-6910-185X

Accepting PhD Students

PhD projects

I am interested in quantum information theory, including Quantum Error-Correction and Fault-tolerance, Quantum Foundations as well as Quantum Circuit Simulation Quantum Software

Personal profile

Biography

I am a Lecturer in Applied Mathematics and Mathematics in the School of Mathematical and Statistical Sciences. During the period 2019-2023 I was a Royal Society-Science Foundation Ireland University Research Fellow based at the University of Galway. More information about my research is available at https:markhoward.info

Research Interests

I am interested in quantum information theory, including

  • Quantum Error-Correction and Fault-tolerance
  • Stabilizer formalism (generalization to d-level systems, quantum error-correcting codes, Gottesman-Knill theorem)
  • Clifford group (and classical simulability, representation via SL(2,p))
  • Magic state distillation
  • Quantum Foundations
  • Discrete Wigner functions (negative quasiprobabilities, Galois fields, relationship with G-K theorem)
  • Mutually unbiased bases, SIC-POVMs, quantum Bayesianism
  • Nonlocality & Contextuality
  • Quantum Circuit Simulation
  • Quantum Software

Education/Academic qualification

B.Sc., M.A., PhD.

Accepting PhD Students

  • Accepting PhD Students

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Collaborations and top research areas from the last five years

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  • Quantum Advantage in Information Retrieval

    Emeriau, P. E., Howard, M. & Mansfield, S., Jun 2022, In: PRX Quantum. 3, 2, 020307.

    Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

    Open Access
    File
    13 Citations (Scopus)
    2 Downloads (Pure)

  • Lower bounds on the non-Clifford resources for quantum computations

    Beverland, M., Campbell, E., Howard, M. & Kliuchnikov, V., Jul 2020, In: Quantum Science and Technology. 5, 3, 035009.

    Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

    Open Access
    116 Citations (Scopus)

  • Simulation of quantum circuits by low-rank stabilizer decompositions

    Bravyi, S., Browne, D., Calpin, P., Campbell, E., Gosset, D. & Howard, M., 2019, In: Quantum. 3

    Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

    Open Access
    File
    255 Citations (Scopus)

  • Magic state parity-checker with pre-distilled components

    Campbell, E. T. & Howard, M., 14 Mar 2018, In: Quantum. 2

    Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

    Open Access
    20 Citations (Scopus)

  • Application of a Resource Theory for Magic States to Fault-Tolerant Quantum Computing

    Howard, M. & Campbell, E., 3 Mar 2017, In: Physical Review Letters. 118, 9, 090501.

    Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

    Open Access
    310 Citations (Scopus)
View all 23 research outputs
  • 2 Current Postgraduates (Research) Supervised

  • Mark Ryder

    Howard, M. (Primary Supervisor)

    2024 → …

    Activity: Other › Current Postgraduates (Research) Supervised

  • Aisling Mac Aree

    Howard, M. (Primary Supervisor)

    2024 → …

    Activity: Other › Current Postgraduates (Research) Supervised

View all 7 courses