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We call `bits' a sequence of devices indexed by positive integers, where every device can be in two states: $0$ (idle) and $1$ (active). Start from the `ground state' of the system when all bits are in $0$-state. In our first Binary…

Probability · Mathematics 2014-08-13 Anton Muratov , Sergei Zuyev

Mid-circuit measurements used in quantum error correction are essential in quantum computer architecture, as they read out syndrome data and drive logic gates. Here, we use a heavy-hex code prepared on a superconducting qubit array to…

Multivariate machine learning techniques provide an alternative to the rapidity gap method for event-by-event identification and classification of diffraction in hadron-hadron collisions. Traditionally, such methods assign each event…

High Energy Physics - Experiment · Physics 2015-05-20 Mikael Kuusela , Eric Malmi , Risto Orava , Tommi Vatanen

Reliable probabilistic primality tests are fundamental in public-key cryptography. In adversarial scenarios, a composite with a high probability of passing a specific primality test could be chosen. In such cases, we need worst-case error…

Cryptography and Security · Computer Science 2023-06-19 Semira Einsele , Kenneth Paterson

We study the performance of simple error correcting and error avoiding quantum codes together with their concatenation for correlated noise models. Specifically, we consider two error models: i) a bit-flip (phase-flip) noisy Markovian…

Quantum Physics · Physics 2011-04-05 Carlo Cafaro , Stefano Mancini

Various simulation-based and analytical methods have been developed to evaluate the seismic fragilities of individual structures. However, a community's seismic safety and resilience are substantially affected by network reliability,…

Applications · Statistics 2025-04-22 Dongkyu Lee , Ziqi Wang , Junho Song

Advancement of chip technology will make future computer chips faster. Power consumption of such chips shall also decrease. But this speed gain shall not come free of cost, there is going to be a trade-off between speed and efficiency, i.e…

Programming Languages · Computer Science 2024-04-29 Dibyendu Das , Soumyajit Dey

The possibility of strong biases in a multicomponent Maximum Likelihood fits with component-dependent templates has been demonstrated in some toy problems. We discuss here in detail a problem of practical interest, particle identification…

Data Analysis, Statistics and Probability · Physics 2017-08-23 P. Catastini , G. Punzi

Quantum error correction (QEC) is considered a deciding component in enabling practical quantum computing. Stabilizer codes, and in particular topological surface codes, are promising candidates for implementing QEC by redundantly encoding…

Quantum Physics · Physics 2025-12-12 Josias Old , Stephan Tasler , Michael J. Hartmann , Markus Müller

We study the impact of experimental imperfections in integrated photonic circuits. We discuss the emergence of a moderate biased error in path encoding, and investigate its correlation with properties of the optical paths. Our analysis…

Quantum Physics · Physics 2023-01-27 Fulvio Flamini

Mapping applications onto heterogeneous platforms is a difficult challenge, even for simple application patterns such as pipeline graphs. The problem is even more complex when processors are subject to failure during the execution of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-03-26 Anne Benoit , Veronika Rehn-Sonigo , Yves Robert

In this paper, a new reliability model has been developed for a single system degrading stochastically which experiences soft and hard failure. Soft failure occurs when the physical deterioration level of the system is greater than a…

Statistics Theory · Mathematics 2019-03-04 Nooshin Yousefi , David W. Coit

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…

Quantum Physics · Physics 2020-09-22 Dawei Jiao , Ying Li

It is demonstrated that in low multiplicity sample, the increase of the fluctuation of event-factorial-moments with the diminishing of phase space scale, called ``erraticity'', are dominated by the statistical fluctuations. The erraticity…

High Energy Physics - Phenomenology · Physics 2007-05-23 Fu Jinghua , Wu Yuanfang , Liu Lianshou

Graph states are entangled states useful for several quantum information processing tasks such as measurement-based quantum computation and quantum metrology. As the size of graph states realized in experiments increases, it becomes more…

Quantum Physics · Physics 2023-09-18 Tomonori Tanizawa , Yuki Takeuchi , Shion Yamashika , Ryosuke Yoshii , Shunji Tsuchiya

Information units are progressively approaching the fundamental physical limits of the integration density, including in terms of extremely small sizes, multistates and probabilistic traversal. However, simultaneously encompassing all of…

In stochastic circuits, major sources of error are correlation errors, soft errors and random fluctuation errors that affect the accuracy and reliability of the circuit. The soft error has the effect of changing the correlation status and…

Emerging Technologies · Computer Science 2021-07-30 Shyamali Mitra , Sayantan Banerjee , Mrinal Kanti Naskar

Three-dimensional integration technologies such as flip-chip bonding are a key prerequisite to realize large-scale superconducting quantum processors. Modular architectures, in which circuit elements are spread over multiple chips, can…

In this work, we explore the robustness of a bit-flip operation against thermal and quantum noise for bits represented by the symmetry-broken pairs of the period-doubled (PD) states in a classical parametric oscillator and discrete time…

Quantum Physics · Physics 2025-07-09 Roy D. Jara , Phatthamon Kongkhambut , Hans Keßler , Andreas Hemmerich , Jayson G. Cosme

The routing algorithms for parallel computers, on-chip networks, multi-core processors, and multiprocessors system-on-chip (MP-SoCs) exhibit router failures must be able to handle interconnect router failures that render a symmetrical mesh…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-01-28 Farshad Safaei , Majed ValadBeigi
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