Opportunities and challenges in fault-tolerant quantum computation
D Gottesman - arXiv preprint arXiv:2210.15844, 2022 - arxiv.org
I will give an overview of what I see as some of the most important future directions in the
theory of fault-tolerant quantum computation. In particular, I will give a brief summary of the …
theory of fault-tolerant quantum computation. In particular, I will give a brief summary of the …
Constant-overhead fault-tolerant quantum computation with reconfigurable atom arrays
Quantum low-density parity-check (qLDPC) codes can achieve high encoding rates and
good code distance scaling, potentially enabling low-overhead fault-tolerant quantum …
good code distance scaling, potentially enabling low-overhead fault-tolerant quantum …
Quantum memory at nonzero temperature in a thermodynamically trivial system
Passive error correction protects logical information forever (in the thermodynamic limit) by
updating the system based only on local information and few-body interactions. A …
updating the system based only on local information and few-body interactions. A …
[HTML][HTML] Relaxing hardware requirements for surface code circuits using time-dynamics
The typical time-independent view of quantum error correction (QEC) codes hides significant
freedom in the decomposition into circuits that are executable on hardware. Using the …
freedom in the decomposition into circuits that are executable on hardware. Using the …
Low-overhead fault-tolerant quantum computing using long-range connectivity
Vast numbers of qubits will be needed for large-scale quantum computing because of the
overheads associated with error correction. We present a scheme for low-overhead fault …
overheads associated with error correction. We present a scheme for low-overhead fault …
Scalable fault-tolerant quantum technologies with silicon color centers
S Simmons - PRX Quantum, 2024 - APS
The scaling barriers currently faced by both quantum networking and quantum computing
technologies ultimately amount to the same core challenge of distributing high-quality …
technologies ultimately amount to the same core challenge of distributing high-quality …
Weight-reduced stabilizer codes with lower overhead
Stabilizer codes are the most widely studied class of quantum error-correcting codes and
form the basis of most proposals for a fault-tolerant quantum computer. A stabilizer code is …
form the basis of most proposals for a fault-tolerant quantum computer. A stabilizer code is …
Quantifying nonlocality: How outperforming local quantum codes is expensive
N Baspin, A Krishna - Physical Review Letters, 2022 - APS
Quantum low-density parity-check (LDPC) codes are a promising avenue to reduce the cost
of constructing scalable quantum circuits. However, it is unclear how to implement these …
of constructing scalable quantum circuits. However, it is unclear how to implement these …
Efficient decoding up to a constant fraction of the code length for asymptotically good quantum codes
A Leverrier, G Zémor - ACM Transactions on Algorithms, 2022 - dl.acm.org
We introduce and analyse an efficient decoder for quantum Tanner codes that can correct
adversarial errors of linear weight. Previous decoders for quantum low-density parity-check …
adversarial errors of linear weight. Previous decoders for quantum low-density parity-check …
Quantum low-density parity-check codes for modular architectures
In efforts to scale the size of quantum computers, modularity plays a central role across most
quantum computing technologies. In the light of fault tolerance, this necessitates designing …
quantum computing technologies. In the light of fault tolerance, this necessitates designing …