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Classification of the Subgroups of the Two-Qubit Clifford Group
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We perform a complete classification of all 56 subgroups of the two-qubit Clifford group containing the two-qubit Pauli group. We provide generators for these groups using gates familiar to the quantum information community and we reference these groups against the group libraries provided in GAP. We also list several families of groups in higher levels of the two-qubit Clifford hierarchy.
Forward citations
Cited by 2 Pith papers
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Multi-Qubit Golden Gates
Multi-qubit golden and super-golden gate sets, including 2-qubit Clifford+CS, are constructed with provably optimal covering rates up to polylog factors, giving 4.8x to 10x asymptotic reductions in expensive gate count.
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Limits of Clifford Disentangling in Tensor Network States
Clifford disentangling of tensor-network states works only up to a linear number of T gates; beyond that, magic accumulation defeats it, and a no-go theorem blocks universal single-qubit disentangling.
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