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We introduce a fault-tolerant protocol for code concatenation of a generalized Shor code using a butterfly network architecture with high noise thresholds and low ancilla overhead to allow implementation on current devices. We develop a…

量子物理 · 物理学 2025-11-03 Grace M. Sommers , Michael Foss-Feig , David Hayes , David A. Huse , Michael J. Gullans

Building reliable quantum computers requires protecting fragile quantum states from inevitable environmental noise and operational errors. While quantum error correction codes like the Steane $[\![7,1,3]\!]$ code provide elegant theoretical…

量子物理 · 物理学 2026-01-14 Soham Bhadra , Diyansha Singh , Angana Chowdhury

In the shallow sub-threshold regime, fault-tolerant quantum computation requires a tremendous amount of qubits. In this paper, we study the error correction in the deep sub-threshold regime. We estimate the physical error rate for achieving…

量子物理 · 物理学 2020-09-22 Dawei Jiao , Ying Li

Photonic integrated circuits play a central role in current and future applications such as communications, sensing, ranging, and information processing. Photonic quantum computing will also likely require an integrated optics architecture…

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

The behavior of real quantum hardware differs strongly from the simple error models typically used when simulating quantum error correction. Error processes are far more complex than simple depolarizing noise applied to single gates, and…

量子物理 · 物理学 2024-08-06 Ian Hesner , Bence Hetényi , James R. Wootton

Noise rates in quantum computing experiments have dropped dramatically, but reliable qubits remain precious. Fault-tolerance schemes with minimal qubit overhead are therefore essential. We introduce fault-tolerant error-correction…

量子物理 · 物理学 2018-08-06 Rui Chao , Ben W. Reichardt

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 stabilized by two-photon dissipation exhibit an extremely biased…

量子物理 · 物理学 2021-04-21 Jérémie Guillaud , Mazyar Mirrahimi

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

Steane code is one of the most widely studied quantum error-correction codes, which is a natural choice for fault-tolerant quantum computation (FTQC). However, the original Steane code is not fault-tolerant because the CNOT gates in an…

量子物理 · 物理学 2024-03-08 Qiqing Xia , Huiqin Xie , Li Yang

Linear optics quantum computing (LOQC) is a promising approach to implementing scalable quantum computation (QC). However, this approach has very demanding physical resource requirements. Recently, Aaronson & Arkhipov showed that a…

量子物理 · 物理学 2015-06-03 Peter P. Rohde , Timothy C. Ralph

Photonic quantum computers use the bosonic statistics of photons to construct, through quantum interference, the large entangled states required for measurement-based quantum computation. Therefore, any which-way information present in the…

A critical component of any quantum error-correcting scheme is detection of errors by using an ancilla system. However, errors occurring in the ancilla can propagate onto the logical qubit, irreversibly corrupting the encoded information.…

量子物理 · 物理学 2019-05-14 S. Rosenblum , P. Reinhold , M. Mirrahimi , Liang Jiang , L. Frunzio , R. J. Schoelkopf

We show that quantum circuits cannot be made fault-tolerant against a depolarizing noise level of approximately 45%, thereby improving on a previous bound of 50% (due to Razborov). Our precise quantum circuit model enables perfect gates…

量子物理 · 物理学 2007-05-23 Harry Buhrman , Richard Cleve , Monique Laurent , Noah Linden , Alexander Schrijver , Falk Unger

As techniques for fault-tolerant quantum computation keep improving, it is natural to ask: what is the fundamental lower bound on redundancy? In this paper, we obtain a lower bound on the redundancy required for $\epsilon$-accurate…

量子物理 · 物理学 2023-08-23 Uthirakalyani G , Anuj K. Nayak , Avhishek Chatterjee

The heralded generation of entangled states underpins many photonic quantum technologies. As quantum error correction thresholds are determined by underlying physical noise mechanisms, a detailed and faithful characterization of resource…

量子物理 · 物理学 2023-05-16 Reece D. Shaw , Alex E. Jones , Patrick Yard , Anthony Laing

We propose a teleportation-based scheme to implement a universal set of quantum gates with a four-component cat code, assisted by appropriate entangled resource states and photon number resolving detection. The four-component cat code…

量子物理 · 物理学 2022-11-09 Daiqin Su , Ish Dhand , Timothy C. Ralph

The threshold theorem is a fundamental result in the theory of fault-tolerant quantum computation stating that arbitrarily long quantum computations can be performed with a polylogarithmic overhead provided the noise level is below a…

量子物理 · 物理学 2024-03-15 Omar Fawzi , Alexander Müller-Hermes , Ala Shayeghi

The constituent parts of a quantum computer are inherently vulnerable to errors. To this end we have developed quantum error-correcting codes to protect quantum information from noise. However, discovering codes that are capable of a…

量子物理 · 物理学 2016-08-24 Benjamin J. Brown , Naomi H. Nickerson , Dan E. Browne

Bell state measurements (BSM) play a significant role in quantum information and quantum computing, in particular, in fusion-based quantum computing (FBQC). The FBQC model is a framework for universal quantum computing provided that we are…

量子物理 · 物理学 2024-09-10 Aleksandr Melkozerov , Ashot Avanesov , Ivan Dyakonov , Stanislav Straupe