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Bosonic codes offer hardware-efficient approaches to logical qubit construction and hosted the first demonstration of beyond-break even logical quantum memory. However, such accomplishments were done for idling information, and realization…

Quantum Physics · Physics 2026-04-08 Saswata Roy , Owen C. Wetherbee , Valla Fatemi

The cavity is a fundamental ingredient of quantum optical systems. This paper concerns the behavior of a quantum cavity driven by non-classical field in single-photon state. To this end, the number operator has been opted to reveal the…

Quantum Physics · Physics 2019-11-05 Abolghasem Daeichian

A representative set of fault diagnosis problems is formulated for linear time-invariant systems with additive faults. For all formulated problems, general existence conditions of their solutions are given. An overview of recent…

Systems and Control · Computer Science 2022-02-02 Andreas Varga

Model-based fault-tolerant control (FTC) often consists of two distinct steps: fault detection & isolation (FDI), and fault accommodation. In this work we investigate posing fault-tolerant control as a single Bayesian inference problem.…

Systems and Control · Electrical Eng. & Systems 2022-04-19 Mohamed Baioumy , William Hartemink , Riccardo M. G. Ferrari , Nick Hawes

In this paper, we study a fault-tolerant control for systems consisting of multiple homogeneous components such as parallel processing machines. This type of system is often more robust to uncertainty compared to those with a single…

Optimization and Control · Mathematics 2020-12-03 Jalal Arabneydi , Amir G. Aghdam

Bosonic quantum systems offer the hardware-efficient construction of error detection/error correction codes by using the infinitely large Hilbert space. However, due to the encoding, arbitrary gate rotations usually require magic state…

Quantum Physics · Physics 2024-03-21 Yuichiro Mori , Yuichiro Matsuzaki , Suguru Endo , Shiro Kawabata

Stochastic resonance is a phenomenon in which fluctuations enhance an otherwise weak signal. It has been found in many different systems in paleoclimatology, biology, medicine, and physics. The classical stochastic resonance due to thermal…

Mesoscale and Nanoscale Physics · Physics 2025-10-27 H. Mannel , J. Zöllner , E. Kleinherbers , M. Zöllner , N. Schwarz , F. Rimek , A. D. Wieck , A. Ludwig , A. Lorke , J. König , M. Geller

We investigate a family of fault-tolerant quantum error correction schemes based on the concatenation of small error detection or error correction codes with the three-dimensional cluster state. We propose fault-tolerant state preparation…

Quantum Physics · Physics 2023-08-23 Zhaoyi Li , Isaac Kim , Patrick Hayden

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"…

Quantum Physics · Physics 2007-05-23 M. Mohseni , D. A. Lidar

Many current quantum error-correcting codes that achieve full fault tolerance suffer from having low ratios of logical to physical qubits and significant overhead. This makes them difficult to implement on current noisy intermediate-scale…

Quantum Physics · Physics 2026-05-22 Christopher Gerhard , Todd A. Brun

Encoding quantum information within bosonic modes offers a promising direction for hardware-efficient and fault-tolerant quantum information processing. However, achieving high-fidelity universal control over the bosonic degree of freedom…

Quantum Physics · Physics 2024-10-04 Jasvith Raj Basani , Murphy Yuezhen Niu , Edo Waks

We consider quantum error-correction codes for multimode bosonic systems, such as optical fields, that are affected by amplitude damping. Such a process is a generalization of an erasure channel. We demonstrate that the most accessible…

Quantum Physics · Physics 2007-05-23 Wojciech Wasilewski , Konrad Banaszek

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…

Quantum Physics · Physics 2024-03-08 Qiqing Xia , Huiqin Xie , Li Yang

Quantum error-correcting codes, such as subspace, subsystem, and Floquet codes, are typically constructed within the stabilizer formalism, which does not fully capture the idea of fault-tolerance needed for practical quantum computing…

Quantum Physics · Physics 2025-11-12 Peter-Jan H. S. Derks , Alex Townsend-Teague , Ansgar G. Burchards , Jens Eisert

Fluctuation Theorems are central in stochastic thermodynamics, as they allow for quantifying the irreversibility of single trajectories. Although they have been experimentally checked in the classical regime, a practical demonstration in…

Quantum Physics · Physics 2017-10-27 C. Elouard , N. K. Bernardes , A. R. R. Carvalho , M. F. Santos , A. Auffèves

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…

Quantum Physics · Physics 2011-07-19 Daniel Gottesman

Postselected quantum computation is distinguished from regular quantum computation by accepting the output only if measurement outcomes satisfy predetermined conditions. The output must be accepted with nonzero probability. Methods for…

Quantum Physics · Physics 2007-05-23 E. Knill

Quantum technologies have become a powerful paradigm for quantum information and simulation, while quantum chaos plays a key role in understanding complex quantum dynamics. Integrated photonics offers unique advantages for quantum…

We introduce an adaptable and modular hybrid architecture designed for fault-tolerant quantum computing. It combines quantum emitters and linear-optical entangling gates to leverage the strength of both matter-based and photonic-based…

We consider the problem of continuous quantum error correction from a Bayesian perspective, proposing a pair of digital filters using logarithmic probabilities that are able to achieve near-optimal performance on a three-qubit bit-flip…

Quantum Physics · Physics 2022-04-20 Ian Convy , K. Birgitta Whaley
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