Building a fault-tolerant quantum computer using concatenated cat codes
We present a comprehensive architectural analysis for a proposed fault-tolerant quantum
computer based on cat codes concatenated with outer quantum error-correcting codes. For …
computer based on cat codes concatenated with outer quantum error-correcting codes. For …
Encoding a magic state with beyond break-even fidelity
To run large-scale algorithms on a quantum computer, error-correcting codes must be able
to perform a fundamental set of operations, called logic gates, while isolating the encoded …
to perform a fundamental set of operations, called logic gates, while isolating the encoded …
Universal quantum computing with twist-free and temporally encoded lattice surgery
C Chamberland, ET Campbell - PRX Quantum, 2022 - APS
Lattice-surgery protocols allow for the efficient implementation of universal gate sets with two-
dimensional topological codes where qubits are constrained to interact with one another …
dimensional topological codes where qubits are constrained to interact with one another …
Measurement-free fault-tolerant quantum error correction in near-term devices
Logical qubits can be protected from decoherence by performing quantum error-correction
(QEC) cycles repeatedly. Algorithms for fault-tolerant QEC must be compiled to the specific …
(QEC) cycles repeatedly. Algorithms for fault-tolerant QEC must be compiled to the specific …
Cost of universality: A comparative study of the overhead of state distillation and code switching with color codes
Estimating and reducing the overhead of fault-tolerance (FT) schemes is a crucial step
toward realizing scalable quantum computers. Of particular interest are schemes based on …
toward realizing scalable quantum computers. Of particular interest are schemes based on …
Low-overhead fault-tolerant quantum error correction with the surface-GKP code
Fault-tolerant quantum error correction is essential for implementing quantum algorithms of
significant practical importance. In this work, we propose a highly effective use of the surface …
significant practical importance. In this work, we propose a highly effective use of the surface …
Flag fault-tolerant error correction for any stabilizer code
R Chao, BW Reichardt - PRX Quantum, 2020 - APS
Conventional fault-tolerant quantum error-correction schemes require a number of extra
qubits that grow linearly with the code's maximum stabilizer generator weight. For some …
qubits that grow linearly with the code's maximum stabilizer generator weight. For some …
Magic state cultivation: growing T states as cheap as CNOT gates
We refine ideas from Knill 1996, Jones 2016, Chamberland 2020, Gidney 2023+ 2024,
Bombin 2024, and Hirano 2024 to efficiently prepare good $| T\rangle $ states. We call our …
Bombin 2024, and Hirano 2024 to efficiently prepare good $| T\rangle $ states. We call our …
Error rates and resource overheads of repetition cat qubits
J Guillaud, M Mirrahimi - Physical Review A, 2021 - APS
We estimate and analyze the error rates and the resource overheads of the repetition cat
qubit approach to universal and fault-tolerant quantum computation. The cat qubits …
qubit approach to universal and fault-tolerant quantum computation. The cat qubits …
Efficient classical simulation of noisy random quantum circuits in one dimension
Understanding the computational power of noisy intermediate-scale quantum (NISQ)
devices is of both fundamental and practical importance to quantum information science …
devices is of both fundamental and practical importance to quantum information science …