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Errors in quantum computers are of two kinds: sudden perturbations to isolated qubits, and slow random drifts of all the qubits. The latter may be reduced, but not eliminated, by means of symmetrization, namely by using many replicas of the…

Quantum Physics · Physics 2007-05-23 Asher Peres

Co-evolution of two coupled quasispecies is studied, motivated by the competition between viral evolution and adapting immune response. In this co-adaptive model, besides the classical error catastrophe for high virus mutation rates, a…

Statistical Mechanics · Physics 2009-11-07 Christel Kamp , Stefan Bornholdt

In the selective withdrawal experiment fluid is withdrawn through a tube with its tip suspended a distance S above an unperturbed two-fluid interface. At low withdrawal rates, Q, the interface forms a steady state hump and only the upper…

Fluid Dynamics · Physics 2009-11-07 Itai Cohen , Sidney R. Nagel

Large language models (LLMs) often make factually incorrect responses despite their success in various applications. In this paper, we hypothesize that relying heavily on simple co-occurrence statistics of the pre-training corpora is one of…

Computation and Language · Computer Science 2023-10-13 Cheongwoong Kang , Jaesik Choi

The size-dependent decoherence of the exciton states resulting from the spontaneous emission is investigated in a semiconductor spherical microcrystallite under condition $a_{B}\ll R_{0}\leq\lambda$. In general, the larger size of the…

Quantum Physics · Physics 2009-08-03 Yu-xi Liu , A. Miranowicz , S. K. Ozdemir , Masato Koashi , Nobuyuki Imoto

Intriguing features of the distance between two arbitrary states of an open quantum system are identified that are induced by initial system-environment correlations. As an example, we analyze a qubit dephasingly coupled to a bosonic…

Quantum Physics · Physics 2015-05-18 J. Dajka , J. Luczka

Quantum steering, as a manifestation of nonlocal quantum correlations, plays a crucial role in enabling various quantum information processing tasks. However, practical implementations are often hindered by significant challenges arising…

Quantum Physics · Physics 2026-04-09 Yan Zhao , Li-Juan Li , Zheng-Peng Xu , Liu Ye , Dong Wang

We investigate the equilibration of an isolated macroscopic quantum system in the sense that deviations from a steady state become unmeasurably small for the overwhelming majority of times within any sufficiently large time interval. The…

Statistical Mechanics · Physics 2012-04-20 Peter Reimann , Michael Kastner

In the big data era, the need to reevaluate traditional statistical methods is paramount due to the challenges posed by vast datasets. While larger samples theoretically enhance accuracy and hypothesis testing power without increasing false…

Methodology · Statistics 2026-01-09 Xuekui Zhang , Li Xing , Jing Zhang , Soojeong Kim

We present a comparative study of several algorithms for an in-plane random walk with a variable step. The goal is to check the efficiency of the algorithm in the case where the random walk terminates at some boundary. We recently found…

Statistical Mechanics · Physics 2019-04-17 Olga Klimenkova , Anton Yu. Menshutin , Lev N. Shchur

We show that the formalism commonly used to implement Bose-Einstein correlations in Monte-Carlo simulations can lead to values of the two-particle correlator significantly smaller than unity, in the case of sources with strong…

Nuclear Theory · Physics 2009-10-30 M. Martin , H. Kalechofsky , P. Foka , U. A. Wiedemann

Errors in superconducting qubits that are correlated in time and space can pose problems for quantum error correction codes. Radiation from cosmic and terrestrial sources can increase the quasiparticle (QP) density in a superconducting…

How much information do we need about a process' past to faithfully simulate its future? The statistical complexity is a prominent quantifier of structure for stochastic processes. Quantum machines, however, can simulate classical…

The conflict between Quantum Mechanics (QM) and the intuitive concepts of Locality and Realism (LR) is manifest in the correlation between measurements performed in remote regions of a spatially spread entangled state. In this paper, it is…

Quantum Physics · Physics 2012-12-27 Alejandro A. Hnilo

Free electrons in the interstellar medium cause frequency-dependent delays in pulse arrival times due to both scattering and dispersion. Multi-frequency measurements are used to estimate and remove dispersion delays. In this paper, we focus…

High Energy Astrophysical Phenomena · Physics 2015-06-23 M. T. Lam , J. M. Cordes , S. Chatterjee , T. Dolch

We consider the problem of an electron tunneling between two coupled quantum dots, a two-state quantum system (qubit), using a low-transparency point contact (PC) or tunnel junction as a detector continually measuring the position of the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Hsi-Sheng Goan , Gerard J. Milburn

Sensitivity analysis for measurement error can be applied in the absence of validation data by means of regression calibration and simulation-extrapolation. These have not been compared for this purpose. A simulation study was conducted…

Applications · Statistics 2021-06-09 Linda Nab , Rolf H. H. Groenwold

We study the connection between dissipation and reality in macroscopic quantum systems. We present the following scenario; if we consider the dynamics of a `partial' wave function, the dissipation is represented as a nonlocal term and it…

Quantum Physics · Physics 2007-05-23 Kentaro Urasaki

Repetitive measurements can cause freezing of dynamics of a quantum state, which is known as quantum Zeno effect. We consider an interacting one-dimensional fermionic system and study the fate of the many-body quantum Zeno transition if the…

Quantum Physics · Physics 2021-12-08 Ranjan Modak , Debraj Rakshit , Ujjwal Sen

State-of-the-art deep Q-learning methods update Q-values using state transition tuples sampled from the experience replay buffer. This strategy often uniformly and randomly samples or prioritizes data sampling based on measures such as the…

Machine Learning · Computer Science 2023-06-28 Zhang-Wei Hong , Tao Chen , Yen-Chen Lin , Joni Pajarinen , Pulkit Agrawal