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Quantum error correction requires the detection of errors by reliable measurements of suitable multi-qubit correlation operators. Here, we experimentally demonstrate a fault-tolerant weight-4 parity check measurement scheme. An additional…

A method for improving the performance of sparse-matrix based parity check codes is proposed, based on insight gained from methods of statistical physics. The advantages of the new approach are demonstrated on an existing encoding/decoding…

Disordered Systems and Neural Networks · Physics 2009-10-31 Ido Kanter , David Saad

Parity measurement is a central tool to many quantum information processing tasks. In this Letter, we propose a method to directly measure two- and four-qubit parity with low overhead in hard- and software, while remaining robust to…

Recently a framework for assisted quantum error correction was proposed in which a specific type of error is allowed to occur on auxiliary qubits, which is in contrast to standard entanglement assistance that requires noiseless auxiliary…

Quantum Physics · Physics 2014-07-31 Yuichiro Fujiwara

We investigate quantum error correction using continuous parity measurements to correct bit-flip errors with the three-qubit code. Continuous monitoring of errors brings the benefit of a continuous stream of information, which facilitates…

Quantum Physics · Physics 2020-11-04 Razieh Mohseninia , Jing Yang , Irfan Siddiqi , Andrew N. Jordan , Justin Dressel

We apply the quantum error detection scheme Pauli check sandwiching (PCS) to quantum networks by turning it into a distributed multiparty protocol. PCS provides protection on the targeted qubits and generally requires less resource overhead…

Quantum Physics · Physics 2025-10-01 Alvin Gonzales , Daniel Dilley , Bikun Li , Liang Jiang , Zain H. Saleem

Reversible logic has promising applications in emerging nanotechnologies, such as quantum computing, quantum dot cellular automata and optical computing, etc. Faults in reversible logic circuits that result in multi-bit error at the outputs…

Hardware Architecture · Computer Science 2011-01-24 Himanshu Thapliyal , Nagarajan Ranganathan

We present a two-step decoder for the parity code and evaluate its performance in code-capacity and faulty-measurement settings. For noiseless measurements, we find that the decoding problem can be reduced to a series of repetition codes…

We describe and analyze an error mitigation technique that uses multiple pairs of parity checks to detect the presence of errors. Each pair of checks uses one ancilla qubit to detect a component of the error operator and represents one…

Quantum Physics · Physics 2024-02-01 Alvin Gonzales , Ruslan Shaydulin , Zain Saleem , Martin Suchara

We use a combination of analytical and numerical techniques to calculate the noise threshold and resource requirements for a linear optical quantum computing scheme based on parity-state encoding. Parity-state encoding is used at the lowest…

Quantum Physics · Physics 2013-05-29 A. J. F. Hayes , H. L. Haselgrove , Alexei Gilchrist , T. C. Ralph

Block codes are typically not used for fading channels as soft decision decoding is computationally intensive and hard decision decoding results in performance loss. In this paper we propose a diversity preserving hard decision decoding…

Information Theory · Computer Science 2020-12-18 Aaqib A. Patel , Abdul Mateen Ahmed , Mohammed Zafar Ali Khan

A novel approach to detect anomalies in superconducting radio-frequency cavities is presented, based on the parity space method with the goal to detect quenches and distinguish them from other anomalies. The model-based parity space method…

Accelerator Physics · Physics 2023-01-18 Annika Eichler , Julien Branlard , Jan H. K. Timm

Due to the merits of high efficiency and strong security against timing and side-channel attacks, ChaCha has been widely applied in real-time communication and data streaming scenarios. However, with the rapid development of AI-assisted…

Cryptography and Security · Computer Science 2025-07-25 Chao Liu , Shuai Zhao , Chenhao Jia , Gengran Hu , Tingting Cui

Protecting quantum information from errors is essential for large-scale quantum computation. Quantum error correction (QEC) encodes information in entangled states of many qubits, and performs parity measurements to identify errors without…

This paper studies pipelined algorithms for protecting distributed grid computations from cheating participants, who wish to be rewarded for tasks they receive but don't perform. We present improved cheater detection algorithms that utilize…

Cryptography and Security · Computer Science 2009-06-09 Michael T. Goodrich

We present a fault-tolerant Bell-pair distillation scheme achieving constant overhead through high-rate quantum low-density parity-check (qLDPC) codes. Our approach maintains a constant distillation rate equal to the code rate while…

The replay attack detection problem is studied from a new perspective based on parity space method in this paper. The proposed detection methods have the ability to distinguish system fault and replay attack, handle both input and output…

Systems and Control · Electrical Eng. & Systems 2023-06-06 Dong Zhao , Yang Shi , Steven X. Ding , Yueyang Li , Fangzhou Fu

When sending quantum information over a channel, we want to ensure that the message remains intact. Quantum error correction and quantum authentication both aim to protect (quantum) information, but approach this task from two very…

Quantum Physics · Physics 2022-11-18 Yfke Dulek , Garazi Muguruza , Florian Speelman

This paper considers the constrained sampling multi-stream quickest change detection problem, also known as the bandit quickest change detection problem. One stream contains a change-point that shifts its mean by an unknown amount. The goal…

Systems and Control · Electrical Eng. & Systems 2026-03-30 Joshua Kartzman , Calvin Hawkins , Matthew Hale

We investigate the utility of parity detection to achieve Heisenberg-limited phase estimation for optical interferometry. We consider the parity detection with several input states that have been shown to exhibit sub shot-noise…

Quantum Physics · Physics 2009-10-25 Aravind Chiruvelli , Hwang Lee
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