Classical codes plus SAT search yield no-go theorems limiting error detection in sub-8-qubit distillation and new minimal-qubit protocols for T-to-T (distances 4-5 on 10-11 qubits) and T-to-CCZ (distances 3-4 on 9-10 qubits).
hub Mixed citations
Low overhead quantum computation using lattice surgery
Mixed citation behavior. Most common role is background (60%).
22
Pith papers citing it
Background
60% of classified citations
hub tools
citation-role summary
background 4
method 1
citation-polarity summary
fields
quant-ph 22representative citing papers
Clifford+T synthesis for small-angle rotations reduces T-cost to ~O(θ²/δ) and makes Trotterization cost constant in the small-step limit.
Fermion lattices can be simulated on same-size qubit lattices with O(1) interaction overhead by dynamically reorienting the Jordan-Wigner transformation.
AI pre-decoders achieve O(1 μs) per round decoding runtimes on GPUs for surface codes while improving logical error rates over global decoding alone and enabling data-driven noise weight estimation.
KOVAL-Q uses SAT solving to optimize and verify surface-code logical operations with general encodings, finding d-cycle CNOTs and 2d-cycle rotations that reduce FTQC application runtime by about 10 percent.
Magic state cultivation prepares high-fidelity T states with an order of magnitude fewer qubit-rounds than prior distillation methods by gradually growing them within a surface code under depolarizing noise.
Lattice-surgery scheduling is mapped to 3D path embedding and solved with look-ahead Dijkstra projection, yielding 3.8x lower execution time on quantum phase estimation benchmarks versus greedy scheduling.
A symmetry-leveraging framework for fault-tolerant ancilla preparation in quantum BCH codes yields lower spatial overhead and logical error rates than standard distillation in simulations up to 127 qubits.
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
Triage is an adaptive parallel window decoding scheduler that reduces average logical error rates by 52.6% compared to standard temporal parallelism while keeping stalls low under scarce classical resources.
FTPrimitiveBench is a new benchmark suite for testing surface-code logical primitives under Pauli-biased, measurement-biased, and spatially non-uniform noise models, revealing that noise structure interacts distinctly with each primitive and decoder.
A defect-adaptive lattice surgery technique reconstructs joint logical parities on irregular surface-code patches via GF(2) binary synthesis from seam measurements and pre-merge constraints, yielding executable rules or failure certificates while preserving effective distance.
The paper introduces concrete code deformation procedures for dense surface code packing, proposes hook-error-avoiding CNOT scheduling for syndrome extraction, and reports Monte Carlo simulations showing lower logical error rates than standard surface codes at large distances and low physical error,
A resource estimation framework for distributed fault-tolerant quantum computers based on lattice surgery identifies feasible hardware configurations for eight applications across thousands of setups, showing that architecture design must be guided by resource analysis for scalability.
Quantum sieving for SVP in dimension 400 needs ~10^13 physical qubits and ~10^31 years under optimistic assumptions, offering no practical speedup over classical methods.
A pipelined framework with speculation for logical operations in fault-tolerant quantum computation reduces total pipeline steps by 20-40% on benchmarks by overlapping control, execution, and decoding stages.
GeneCS compiler reduces ancillary qubits and checks by over 85% on average for single- and cross-code logical operations on stabilizer codes while preserving error rates and scaling to over 10,000 qubits.
Catalyst towers reduce runtime and spacetime volume for continuous rotations in surface codes at small and medium distances in phase oracle and variational state preparation circuits for option pricing.
Simulations show non-local CNOT achieves up to 10x lower logical error than teleportation and distributed qLDPC needs d≈11 at p=10^{-4} or d≈29 at p=10^{-3} (with p_ebit=10p) for <10^{-12} error.
Quantum amplitude estimation algorithm for credit risk economic capital with qubit and runtime estimates on assumed future hardware.
NMR spectral simulations in zero/ultralow fields for small molecules and proteins are identified as promising applications for fault-tolerant quantum computation via qubitized dynamics circuits.