Quantum gates from the middle convolution of twisted Burau representations
quant-ph, math-ph, math.MP, math.RT
Submitted: 2026-09-25
Updated: 2026-09-25
Terminology
Sources
- Quadratic tensors as a unification of Clifford, Gaussian, and free-fermion physics
- Ultimate braid-group generators for coordinate exchanges of Ising anyons from the multi-anyon Pfaffian wave functions
- On Burau representations at roots of unity
- Generalized Long-Moody representations of braid groups
- A Polynomial Quantum Algorithm for Approximating the Jones Polynomial
- Long-Moody construction of braid representations and Katz middle convolution
- Stabilizer states and Clifford operations for systems of arbitrary dimensions, and modular arithmetic
- Characterizing Operations Preserving Separability Measures via Linear Preserver Problems
- Long-Moody construction of braid group representations and Haraoka's multiplicative middle convolution for KZ-type equations
- Hecke algebra representations from the Katz-Long-Moody construction
- Extensions of Tong-Yang-Ma representation
- Understanding Quantum Information and Computation
- The Heisenberg Representation of Quantum Computers
- Synthesis and upper bound of Schmidt rank of the bipartite controlled-unitary gates
- Synthesis of Multivalued Quantum Logic Circuits by Elementary Gates
- Elementary gates for quantum computation
- Exact universality from any entangling gate without inverses
- Absolute order in general linear groups
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