Clifford group - The Quantum Facts

Graphical representation of a noisy 3-qubit Werner state and the effect of a CNOT gate (interpreted as a permutation of the basis).

News January 23, 2025

Faster-than-Clifford simulations of entanglement purification circuits

Researchers have developed a simulation algorithm for distillation circuits with per-gate complexity of O(1) , drastically faster than O(N) Clifford simulators or O(2N) wavefunction simulators over N qubits.

All most expensive 6-qubit Clifford unitaries requiring 15 entangling gates (up to left and right multiplication by the single-qubit gates and qubit relabeling).

News July 8, 2022

6-qubit optimal Clifford circuits

Clifford group lies at the core of quantum computation—it underlies quantum error correction, its elements can be used to perform magic state distillation and they form randomized benchmarking protocols, Clifford group is used to study […]

Faster-than-Clifford simulations of entanglement purification circuits

6-qubit optimal Clifford circuits

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