Group theory provides the abstract language for describing symmetry through the concept of a set equipped with an associative binary operation, identity and inverses. Permutation structures arise when ...
Permutation polynomials over finite fields form a central theme in modern algebraic research, intertwining group theory, number theory and combinatorial design. A finite field is a set of elements ...
Quantum computers, systems that process information leveraging quantum mechanical effects, are expected to outperform classical computers on some complex tasks. Over the past few decades, many ...
Co-authored by BTQ Chief Quantum Officer Dr. Gavin K. Brennen, the research introduces a new error-correction framework for permutation-invariant codes—an enabling step toward more reliable quantum ...
BTQ Chief Quantum Officer Dr. Gavin K. Brennen co-authored new collaborative research with Macquarie University and Yingkai Ouyang (University of Sheffield), reinforcing BTQ's direct role in advancing ...
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