Randomness of exact unitary designs under symmetry
quant-ph
Submitted: 2026-09-30
Updated: 2026-09-30
Terminology
Sources
- Quantum state merging and negative information
- One-shot decoupling
- A framework for semi-universality: Semi-universality of 3-qudit SU(d)-invariant gates
- Unitary Designs from Random Symmetric Quantum Circuits
- Efficient quantum pseudorandomness under conservation laws
- Qubit stabilizer states are complex projective 3-designs
- The Clifford group forms a unitary 3-design
- Multiqubit Clifford groups are unitary 3-designs
- The Clifford group fails gracefully to be a unitary 4-design
- Decompositions of Small Tensor Powers and Larsen's Conjecture
- Generalized group designs: constructing novel unitary 2-, 3- and 4-designs
- Explicit construction of exact unitary designs
- Great antipodal sets of complex Grassmannian manifolds as designs with the smallest cardinalities
- Bounds for codes and designs in complex subspaces
- On the distinguishability of geometrically uniform quantum states
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