Roads towards fault-tolerant universal quantum computation

ET Campbell, BM Terhal, C Vuillot - Nature, 2017 - nature.com
A practical quantum computer must not merely store information, but also process it. To
prevent errors introduced by noise from multiplying and spreading, a fault-tolerant …

Quantum error correction for quantum memories

BM Terhal - Reviews of Modern Physics, 2015 - APS
Active quantum error correction using qubit stabilizer codes has emerged as a promising,
but experimentally challenging, engineering program for building a universal quantum …

Demonstration of fault-tolerant universal quantum gate operations

L Postler, S Heuβen, I Pogorelov, M Rispler, T Feldker… - Nature, 2022 - nature.com
Quantum computers can be protected from noise by encoding the logical quantum
information redundantly into multiple qubits using error-correcting codes,. When …

Encoding a magic state with beyond break-even fidelity

RS Gupta, N Sundaresan, T Alexander, CJ Wood… - Nature, 2024 - nature.com
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 …

Building a fault-tolerant quantum computer using concatenated cat codes

C Chamberland, K Noh, P Arrangoiz-Arriola… - PRX Quantum, 2022 - APS
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 …

Focus beyond quadratic speedups for error-corrected quantum advantage

R Babbush, JR McClean, M Newman, C Gidney… - PRX quantum, 2021 - APS
In this perspective we discuss conditions under which it would be possible for a modest fault-
tolerant quantum computer to realize a runtime advantage by executing a quantum …

Majorana zero modes and topological quantum computation

SD Sarma, M Freedman, C Nayak - npj Quantum Information, 2015 - nature.com
We provide a current perspective on the rapidly develo** field of Majorana zero modes
(MZMs) in solid-state systems. We emphasise the theoretical prediction, experimental …

Floquet codes without parent subsystem codes

M Davydova, N Tantivasadakarn, S Balasubramanian - PRX Quantum, 2023 - APS
We propose a new class of error-correcting dynamic codes in two and three dimensions that
has no explicit connection to any parent subsystem code. The two-dimensional code, which …

Correlated decoding of logical algorithms with transversal gates

M Cain, C Zhao, H Zhou, N Meister, JPB Ataides… - Physical Review Letters, 2024 - APS
Quantum error correction is believed to be essential for scalable quantum computation, but
its implementation is challenging due to its considerable space-time overhead. Motivated by …

High-fidelity three-qubit iToffoli gate for fixed-frequency superconducting qubits

Y Kim, A Morvan, LB Nguyen, RK Naik, C Jünger… - Nature physics, 2022 - nature.com
The development of noisy intermediate-scale quantum devices has extended the scope of
executable quantum circuits with high-fidelity single-and two-qubit gates. Equip** these …