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Vast numbers of qubits will be needed for large-scale quantum computing due to the overheads associated with error correction. We present a scheme for low-overhead fault-tolerant quantum computation based on quantum low-density parity-check…

Quantum Physics · Physics 2022-05-24 Lawrence Z. Cohen , Isaac H. Kim , Stephen D. Bartlett , Benjamin J. Brown

Topological quantum computing is expected to be less sensitive to noise because information is stored in global states rather than local features. To examine whether different device topologies show measurable differences, we study three…

Quantum Physics · Physics 2026-01-21 Spandan Das , Ennis Mawas

We present a theoretical analysis of a Majorana-based qubit consisting of two topological superconducting islands connected via a Josephson junction. The qubit is operated by electrostatic gates which control the coupling of two of the four…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 Tommy Li , William A. Coish , Michael Hell , Karsten Flensberg , Martin Leijnse

Quantum error correction (QEC) is believed to be essential for the realization of large-scale quantum computers. However, due to the complexity of operating on the encoded `logical' qubits, understanding the physical principles for building…

It is shown that Majorana fermions trapped in three vortices in a p-wave superfluid form a qubit in a topological quantum computing (TQC). Several similar ideas have already been proposed: Ivanov [Phys. Rev. Lett. {\bf 86}, 268 (2001)] and…

Quantum Physics · Physics 2015-05-13 Tetsuo Ohmi , Mikio Nakahara

Usual scenarios of fault-tolerant computation are concerned with the fault-tolerant realization of quantum algorithms that compute classical functions, such as Shor's algorithm for factoring. In particular, this means that input and output…

Quantum Physics · Physics 2025-12-03 Matthias Christandl , Omar Fawzi , Ashutosh Goswami

Certain physical systems that one might consider for fault-tolerant quantum computing where qubits do not readily interact, for instance photons, are better suited for measurement-based quantum-computational protocols. Here we propose a…

Quantum Physics · Physics 2020-08-27 Benjamin J. Brown , Sam Roberts

The first generations of quantum computers will execute fault-tolerant quantum circuits, and it is very likely that such circuits will use surface quantum error correcting codes. To the best of our knowledge, no complete design automation…

Quantum Physics · Physics 2019-02-08 Alexandru Paler

One of the largest obstacles to building a quantum computer is gate error, where the physical evolution of the state of a qubit or group of qubits during a gate operation does not match the intended unitary transformation. Gate error stems…

Quantum Physics · Physics 2018-02-07 Eliot Kapit

In the emerging field of Fault Tolerant Quantum Computation (FTQC), resource estimation is an important tool for quantitatively comparing prospective architectures, identifying hardware bottlenecks and informing which research paths are…

Quantum Physics · Physics 2026-04-24 Dmitry Filippov , Peter Yang , Prakash Murali

We present a planar surface-code-based scheme for fault-tolerant quantum computation which eliminates the time overhead of single-qubit Clifford gates, and implements long-range multi-target CNOT gates with a time overhead that scales only…

Quantum Physics · Physics 2018-05-07 Daniel Litinski , Felix von Oppen

Quantum optimal control theory allows to design accurate quantum gates. We employ it to design high-fidelity two-bit gates for Josephson charge qubits in the presence of both leakage and noise. Our protocol considerably increases the…

Quantum Physics · Physics 2009-11-13 Simone Montangero , Tommaso Calarco , Rosario Fazio

To successfully execute large-scale algorithms, a quantum computer will need to perform its elementary operations near perfectly. This is a fundamental challenge since all physical qubits suffer a considerable level of noise. Moreover, real…

Quantum Physics · Physics 2023-06-29 Armands Strikis , Simon C. Benjamin , Benjamin J. Brown

Photonics provides a viable path to a scalable fault-tolerant quantum computer. The natural framework for this platform is measurement-based quantum computation, where fault-tolerant graph states supersede traditional quantum…

Quantum Physics · Physics 2025-10-15 Timo Hillmann , Guillaume Dauphinais , Ilan Tzitrin , Michael Vasmer

Quantum error correction is essential for reliable quantum computation, where surface codes demonstrate high fault-tolerant thresholds and hardware efficiency. However, noise in single-shot measurements limits logical readout fidelity,…

Quantum Physics · Physics 2025-05-13 Xiao-Yue Xu , Chen Ding , Wan-Su Bao

Quantum computing relies on quantum error correction for high-fidelity logical operations, but scaling to achieve near-term quantum utility is highly resource-intensive. High-rate quantum LDPC codes can reduce error correction overhead, yet…

Quantum Physics · Physics 2025-11-11 Laura Pecorari , Francesco Paolo Guerci , Hugo Perrin , Guido Pupillo

We introduce a general framework for weak transversal gates -- probabilistic implementation of logical unitaries realized by local physical unitaries -- and propose a novel partially fault-tolerant quantum computing architecture that…

Quantum Physics · Physics 2025-10-10 Nobuyuki Yoshioka , Alireza Seif , Andrew Cross , Ali Javadi-Abhari

Superconducting qubits, while promising for scalability and long coherence times, contain more than two energy levels, and therefore are susceptible to errors generated by the leakage of population outside of the computational subspace.…

Quantum Physics · Physics 2015-02-23 Joydip Ghosh , Austin G. Fowler

A major goal for fault-tolerant quantum computation (FTQC) is to reduce the overhead needed for error correction. One approach is to use block codes that encode multiple qubits, which can achieve significantly higher rates for the same code…

Quantum Physics · Physics 2015-04-16 Todd A. Brun , Yi-Cong Zheng , Kung-Chuan Hsu , Joshua Job , Ching-Yi Lai

Current, near-term quantum devices have shown great progress in recent years culminating with a demonstration of quantum supremacy. In the medium-term, however, quantum machines will need to transition to greater reliability through error…

Quantum Physics · Physics 2020-09-07 Casey Duckering , Jonathan M. Baker , David I. Schuster , Frederic T. Chong