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Quantum computing offers significant speedups, but the large number of physical qubits required for quantum error correction introduces engineering challenges for a monolithic architecture. One solution is to distribute the logical quantum…

Quantum bits have technological imperfections. Additionally, the capacity of a component that can be implemented feasibly is limited. Therefore, distributed quantum computation is required to scale up quantum computers. This dissertation…

量子物理 · 物理学 2017-04-11 Shota Nagayama

Despite significant progress in quantum computing in recent years, executing quantum circuits for practical problems remains challenging due to error-prone quantum hardware. Hence, quantum error correction becomes essential but induces…

量子物理 · 物理学 2025-09-04 Tobias Forster , Nils Quetschlich , Mathias Soeken , Robert Wille

Distributed quantum computation requires quantum operations that act over a distance on error-correction encoded states of logical qubits, such as the transfer of qubits via teleportation. We evaluate the performance of several quantum…

量子物理 · 物理学 2007-10-11 Rodney Van Meter , Kae Nemoto , W. J. Munro

Quantum computation can be performed by encoding logical qubits into the states of two or more physical qubits, and controlling a single effective exchange interaction and possibly a global magnetic field. This "encoded universality"…

量子物理 · 物理学 2007-05-23 M. Mohseni , D. A. Lidar

The discovery of quantum error correction has greatly improved the long-term prospects for quantum computing technology. Encoded quantum information can be protected from errors that arise due to uncontrolled interactions with the…

量子物理 · 物理学 2007-05-23 John Preskill

In certain approaches to quantum computing the operations between qubits are non-deterministic and likely to fail. For example, a distributed quantum processor would achieve scalability by networking together many small components;…

量子物理 · 物理学 2013-05-29 Ying Li , Sean D. Barrett , Thomas M. Stace , Simon C. Benjamin

Quantum error correction holds the key to scaling up quantum computers. Cosmic ray events severely impact the operation of a quantum computer by causing chip-level catastrophic errors, essentially erasing the information encoded in a chip.…

We exhibit a simple, systematic procedure for detecting and correcting errors using any of the recently reported quantum error-correcting codes. The procedure is shown explicitly for a code in which one qubit is mapped into five. The…

量子物理 · 物理学 2009-10-30 David P. DiVincenzo , Peter W. Shor

In this short review, I draw attention to new developments in the theory of fault tolerance in quantum computation that may give concrete direction to future work in the development of superconducting qubit systems. The basics of quantum…

量子物理 · 物理学 2015-05-13 David P. DiVincenzo

Fault tolerant quantum computing methods which work with efficient quantum error correcting codes are discussed. Several new techniques are introduced to restrict accumulation of errors before or during the recovery. Classes of eligible…

量子物理 · 物理学 2009-10-31 Andrew M. Steane

Connecting multiple smaller qubit modules by generating high-fidelity entangled states is a promising path for scaling quantum computing hardware. The performance of such a modular quantum computer is highly dependent on the quality and…

Proposals for quantum computing devices are many and varied. They each have unique noise processes that make none of them fully reliable at this time. There are several error correction/avoidance techniques which are valuable for reducing…

量子物理 · 物理学 2015-06-26 Mark S. Byrd , Daniel A. Lidar

In fault-tolerant quantum computing, a large number of physical qubits are required to construct a single logical qubit, and a single quantum node may be able to hold only a small number of logical qubits. In such a case, the idea of…

量子物理 · 物理学 2026-01-15 Soshun Naito , Yasunari Suzuki , Yuuki Tokunaga

In order to use quantum error-correcting codes to actually improve the performance of a quantum computer, it is necessary to be able to perform operations fault-tolerantly on encoded states. I present a general theory of fault-tolerant…

量子物理 · 物理学 2011-07-19 Daniel Gottesman

Simulation of quantum systems that provide intrinsically fault-tolerant quantum computation is shown to preserve fault tolerance. Errors committed in the course of simulation are eliminated by the natural error-correcting features of the…

量子物理 · 物理学 2007-05-23 Seth Lloyd , Benjamin Rahn , Charlene Ahn

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.…

量子物理 · 物理学 2015-02-23 Joydip Ghosh , Austin G. Fowler

Quantum states are very delicate, so it is likely some sort of quantum error correction will be necessary to build reliable quantum computers. The theory of quantum error-correcting codes has some close ties to and some striking differences…

量子物理 · 物理学 2009-04-17 Daniel Gottesman

We discuss stabilizer quantum-error correction codes implemented in a single multi-level qudit to avoid resource escalation typical of multi-qubit codes. These codes can be customized to the specific physical errors on the qudit,…

量子物理 · 物理学 2024-10-16 Matteo Mezzadri , Alessandro Chiesa , Luca Lepori , Stefano Carretta

Quantum computing as a promising technology can utilize stochastic solutions instead of deterministic approaches for complicated scenarios for which classical computing is inefficient, provided that both the concerns of the error-prone…

量子物理 · 物理学 2024-09-10 Shahram Babaie , Chunming Qiao
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