Vine codes generalize directional codes to open planar boundaries, delivering up to 28% fewer data/measure qubits at circuit distance 7 and better simulated performance than the surface code at 10^{-3} noise while using fewer total qubits.
hub Canonical reference
Fold-transversal surface code cultivation
Canonical reference. 86% of citing Pith papers cite this work as background.
22
Pith papers citing it
Background
86% of classified citations
hub tools
citation-role summary
background 6
method 1
citation-polarity summary
fields
quant-ph 22representative citing papers
A new family of magic state distillation protocols based on logical Clifford error checking achieves near-linear asymptotic rate despite overhead exponent exceeding one, showing the quantities are not tightly coupled in the sublinear regime.
A new in-situ scheme prepares logical magic states inside arbitrary CSS qLDPC codes using only syndrome-extraction ancillas, with simulations on the [[144,12,12]] BB code and [[225,9,4]] hypergraph-product code showing injection error rates around 10^{-3} or lower under depolarizing and asymmetric噪声
A new cultivation protocol prepares reusable logical catalysts as eigenstates of high-period Clifford circuits to implement exact Z^{2^{-b}} phase gates with constant online depth in surface codes.
Generalizes phase kickback checks for √T magic state cultivation in doubled color code, reports simulation consistency with S state performance, and outlines lattice surgery escape strategy.
Clifft introduces a factored-state simulator that shifts exponential cost to a dynamic active subspace, generalizing Stim's compile-once model to near-Clifford circuits and enabling the first exact end-to-end simulations of magic-state cultivation over hundreds of billions of shots.
Pinnacle Architecture using QLDPC codes reduces physical qubits needed to factor RSA-2048 to under 100,000 at 10^{-3} error rate.
A zero-level CCZ distillation protocol using the [[8,3,2]] code and lattice surgery achieves logical error rate scaling p_L ≈ 300 p² with only 22 physical qubits and 24 circuit depth.
A hot-zone architecture for OQFT on reconfigurable neutral-atom hardware yields tunable latency via 2-4 zones, converging to roughly 500 extra logical ancillae and 128-qubit peak parallelism for half-time performance on 256-2048 bit instances.
New search algorithms over stabilizer tableaus and modular assembly techniques yield encoders with up to 43% fewer two-qubit gates and 70% lower depth than prior constructions on tested stabilizer codes including qLDPC and holographic families.
A modular atomic processor with 500,000 qubits factors 2048-bit RSA numbers in roughly the same time as a single large module when inter-module Bell-pair communication runs at 10^5 per second.
INJEQT reduces synthillation error by up to 22x, wall-clock time by 13x, and space-time cost by 7.2x in extractor FTQC architectures via auxiliary Rz synthesis and pre-fetching.
Syn@fac optimization reduces estimated circuit failure probability by a factor of 9 on average across non-Clifford benchmarks for bivariate bicycle code modular FTQC architectures, with additional gains from transvection deferral and Clifford insertion.
A teleportation-based parallelization architecture for neutral-atom quantum error correction delivers up to 3x speedup over extractor methods at fixed space cost and enables simulated quantum advantage at 11,495 atoms and 15-hour runtime.
A trapped-ion architecture based on LDPC codes and cat-state factories achieves 110 logical qubits and one million T gates per day using 2514 physical qubits, with estimates for Heisenberg model simulation on 100 sites in one month using 10000 qubits.
New structural conditions on affine permutation matrices yield ultra-high-rate quantum LDPC codes (rate >1/2) with near-teraquop logical error rates under circuit-level noise on reconfigurable atom arrays.
Shor's algorithm for cryptographically relevant problems becomes feasible on neutral-atom systems with as few as 10,000 reconfigurable physical qubits via high-rate quantum error correction.
Gauging enables constant-depth logical XS dagger measurements for color-code magic state cultivation, achieving 10^{-12} logical error rates at 0.05% physical error for distance-7 codes while retaining over 1% of shots via post-selection.
Repurposing ancilla qubits for both magic-state cultivation and routing improves lattice-surgery schedule efficiency by 19-223% over dedicated-bus routing in simulations.
Neutral-atom processor integrates atom motion with in-place entanglement to cut logical overhead, shown in Shor's variant, CX ladders, and [[16,4,4]] code experiments with 2-8x error improvements.
Adaptive-window decoding that shrinks or expands based on decoder confidence cuts reaction-time overhead in quantum error correction without raising logical error rates.
citing papers explorer
-
Vine Codes: Low-Overhead Quantum LDPC Codes on a Planar Square Grid
Vine codes generalize directional codes to open planar boundaries, delivering up to 28% fewer data/measure qubits at circuit distance 7 and better simulated performance than the surface code at 10^{-3} noise while using fewer total qubits.
-
Asymptotic magic state distillation with almost linear rate
A new family of magic state distillation protocols based on logical Clifford error checking achieves near-linear asymptotic rate despite overhead exponent exceeding one, showing the quantities are not tightly coupled in the sublinear regime.
-
In-Situ Simultaneous Magic State Injection on Arbitrary CSS qLDPC Codes
A new in-situ scheme prepares logical magic states inside arbitrary CSS qLDPC codes using only syndrome-extraction ancillas, with simulations on the [[144,12,12]] BB code and [[225,9,4]] hypergraph-product code showing injection error rates around 10^{-3} or lower under depolarizing and asymmetric噪声
-
Cultivating logical catalysts for fault-tolerant dyadic phase rotations
A new cultivation protocol prepares reusable logical catalysts as eigenstates of high-period Clifford circuits to implement exact Z^{2^{-b}} phase gates with constant online depth in surface codes.
-
Efficient Magic State Cultivation for $\sqrt{T}$ Gates
Generalizes phase kickback checks for √T magic state cultivation in doubled color code, reports simulation consistency with S state performance, and outlines lattice surgery escape strategy.
-
Clifft: Fast Exact Simulation of Near-Clifford Quantum Circuits
Clifft introduces a factored-state simulator that shifts exponential cost to a dynamic active subspace, generalizing Stim's compile-once model to near-Clifford circuits and enabling the first exact end-to-end simulations of magic-state cultivation over hundreds of billions of shots.
-
The Pinnacle Architecture: Reducing the cost of breaking RSA-2048 to 100 000 physical qubits using quantum LDPC codes
Pinnacle Architecture using QLDPC codes reduces physical qubits needed to factor RSA-2048 to under 100,000 at 10^{-3} error rate.
-
Zero-level $CCZ$ Distillation
A zero-level CCZ distillation protocol using the [[8,3,2]] code and lattice surgery achieves logical error rate scaling p_L ≈ 300 p² with only 22 physical qubits and 24 circuit depth.
-
Towards Deploying Optimistic Quantum Fourier Transforms: An Architecture-Algorithm Co-Design Study
A hot-zone architecture for OQFT on reconfigurable neutral-atom hardware yields tunable latency via 2-4 zones, converging to roughly 500 extra logical ancillae and 128-qubit peak parallelism for half-time performance on 256-2048 bit instances.
-
Synthesis and Optimization of Encoding Circuits for Fault-Tolerant Quantum Computation
New search algorithms over stabilizer tableaus and modular assembly techniques yield encoders with up to 43% fewer two-qubit gates and 70% lower depth than prior constructions on tested stabilizer codes including qLDPC and holographic families.
-
Factoring $2048$ bit RSA integers with a half-million-qubit modular atomic processor
A modular atomic processor with 500,000 qubits factors 2048-bit RSA numbers in roughly the same time as a single large module when inter-module Bell-pair communication runs at 10^5 per second.
-
INJEQT: Improved Magic-State Injection Protocol for Fault-Tolerant Quantum Extractor Architectures
INJEQT reduces synthillation error by up to 22x, wall-clock time by 13x, and space-time cost by 7.2x in extractor FTQC architectures via auxiliary Rz synthesis and pre-fetching.
-
Assessing System Capabilities and Bottlenecks of an Early Fault-Tolerant Bicycle Architecture
Syn@fac optimization reduces estimated circuit failure probability by a factor of 9 on average across non-Clifford benchmarks for bivariate bicycle code modular FTQC architectures, with additional gains from transvection deferral and Clifford insertion.
-
Architecting Early Fault Tolerant Neutral Atoms Systems with Quantum Advantage
A teleportation-based parallelization architecture for neutral-atom quantum error correction delivers up to 3x speedup over extractor methods at fixed space cost and enables simulated quantum advantage at 11,495 atoms and 15-hour runtime.
-
Fault-Tolerant Quantum Computing with Trapped Ions: The Walking Cat Architecture
A trapped-ion architecture based on LDPC codes and cat-state factories achieves 110 logical qubits and one million T gates per day using 2514 physical qubits, with estimates for Heisenberg model simulation on 100 sites in one month using 10000 qubits.
-
Towards Ultra-High-Rate Quantum Error Correction with Reconfigurable Atom Arrays
New structural conditions on affine permutation matrices yield ultra-high-rate quantum LDPC codes (rate >1/2) with near-teraquop logical error rates under circuit-level noise on reconfigurable atom arrays.
-
Shor's algorithm is possible with as few as 10,000 reconfigurable atomic qubits
Shor's algorithm for cryptographically relevant problems becomes feasible on neutral-atom systems with as few as 10,000 reconfigurable physical qubits via high-rate quantum error correction.
-
Constant depth magic state cultivation with Clifford measurements by gauging
Gauging enables constant-depth logical XS dagger measurements for color-code magic state cultivation, achieving 10^{-12} logical error rates at 0.05% physical error for distance-7 codes while retaining over 1% of shots via post-selection.
-
PureMagic: A Dynamic Scheduler for Lattice Surgery
Repurposing ancilla qubits for both magic-state cultivation and routing improves lattice-surgery schedule efficiency by 19-223% over dedicated-bus routing in simulations.
-
Demonstration of a Logical Architecture Uniting Motion and In-Place Entanglement
Neutral-atom processor integrates atom motion with in-place entanglement to cut logical overhead, shown in Shor's variant, CX ladders, and [[16,4,4]] code experiments with 2-8x error improvements.
-
ADaPT: Adaptive-window Decoding for Practical fault-Tolerance
Adaptive-window decoding that shrinks or expands based on decoder confidence cuts reaction-time overhead in quantum error correction without raising logical error rates.
- Neural network decoder confidence as a learned proxy for the logical gap