Single-qudit universality for Clifford gate sets plus one non-Clifford gate follows a trichotomy determined by the prime factorization of the local dimension d.
Litinski, Quantum3, 205 (2019)
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
quant-ph 3verdicts
UNVERDICTED 3representative citing papers
The biplanar architecture maps Fermi-Hubbard spin sectors to two planes, eliminating swaps and cutting each Trotter step depth to 4t_synth + 90 logical timesteps versus 6t_synth + 354 in single-plane methods, yielding an estimated 2-hour runtime for L=8 with 1.35 million physical qubits under a 1% 1
A new fault-tolerant scheme called parity unfolding distills gates from any Clifford hierarchy level using 2^{k+3} + O(2^{k/2}) biased-noise qubits, cutting logical error rates by 43% and resources by 26% for arbitrary rotation synthesis compared to T-only distillation.
citing papers explorer
-
Quantum Universality in Composite Systems: A Trichotomy of Clifford Resources
Single-qudit universality for Clifford gate sets plus one non-Clifford gate follows a trichotomy determined by the prime factorization of the local dimension d.
-
Two Layers, No Swaps: Biplanar SPOQC Architecture Improves Runtime of Fermi-Hubbard Simulation
The biplanar architecture maps Fermi-Hubbard spin sectors to two planes, eliminating swaps and cutting each Trotter step depth to 4t_synth + 90 logical timesteps versus 6t_synth + 354 in single-plane methods, yielding an estimated 2-hour runtime for L=8 with 1.35 million physical qubits under a 1% 1
-
Parity-unfolded distillation architecture for noise-biased platforms
A new fault-tolerant scheme called parity unfolding distills gates from any Clifford hierarchy level using 2^{k+3} + O(2^{k/2}) biased-noise qubits, cutting logical error rates by 43% and resources by 26% for arbitrary rotation synthesis compared to T-only distillation.