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A common approach to synthetic data is to sample from a fitted model. We show that under general assumptions, this approach results in a sample with inefficient estimators and whose joint distribution is inconsistent with the true…

Statistics Theory · Mathematics 2026-02-18 Jordan Awan , Zhanrui Cai

Quantum computing employs controllable interactions to perform sequences of logical gates and entire algorithms on quantum registers. This paradigm has been widely explored, e.g., for simulating dynamics of manybody systems by decomposing…

Quantum Physics · Physics 2025-05-21 S. Alipour , A. T. Rezakhani , Alireza Tavanfar , K. Mölmer , T. Ala-Nissila

We discuss a novel method of efficiently producing multi-photon states using repeated spontaneous parametric downconversion. Specifically, by attempting downconversion several times, we can pseudo-deterministically add photons to a mode,…

Quantum Physics · Physics 2013-06-27 Kevin T. McCusker , Paul G. Kwiat

Benchmarking quantum devices is a foundational task for the sustained development of quantum technologies. However, accurate in situ characterization of large-scale quantum devices remains a formidable challenge: such systems experience…

Quantum Physics · Physics 2025-10-14 Tudor Manole , Daniel K. Mark , Wenjie Gong , Bingtian Ye , Yury Polyanskiy , Soonwon Choi

Discrete translational symmetry plays a fundamental role in condensed matter physics and lattice gauge theories, enabling the analysis of systems that would otherwise be intractable. Despite this, many open problems remain. Quantum…

Quantum Physics · Physics 2026-01-07 Joris Kattemölle , Guido Burkard

We present a scalable approach to performing approximate fully Bayesian inference in generic state space models. The proposed method is an alternative to particle MCMC that provides fully Bayesian inference of both the dynamic latent states…

Machine Learning · Statistics 2019-02-13 Marcel Hirt , Petros Dellaportas

Understanding the quantum evolution of light in nonlinear media is central to the development of next-generation quantum technologies. Yet modeling these processes remains computationally demanding, as the required resources grow rapidly…

Quantum Physics · Physics 2025-11-25 Nikolay Kapridov , Egor Tiunov , Dmitry Chermoshentsev

There exist several methods for simulating biological and physical systems as represented by chemical reaction networks. Systems with low numbers of particles are frequently modelled as discrete-state Markov jump processes and are typically…

Quantitative Methods · Quantitative Biology 2022-10-24 Joshua C. Kynaston , Christian A Yates , Anna Hekkink , Chris Guiver

Configurable and scalable continuous variable quantum networks for measurement-based quantum information protocols or multipartite quantum communication schemes can be obtained via parametric down conversion (PDC) in non-linear waveguides.…

Quantum Physics · Physics 2021-08-17 V. Roman-Rodriguez , B. Brecht , S. Kaali , C. Silberhorn , N. Treps , E. Diamanti , V. Parigi

Sum-based global tests are highly popular in multiple hypothesis testing. In this paper we propose a general closed testing procedure for sum tests, which provides lower confidence bounds for the proportion of true discoveries (TDP),…

Methodology · Statistics 2023-04-21 Anna Vesely , Livio Finos , Jelle J. Goeman

Large-scale statistical analysis of data sets associated with genome sequences plays an important role in modern biology. A key component of such statistical analyses is the computation of $p$-values and confidence bounds for statistics…

Applications · Statistics 2011-01-06 Peter J. Bickel , Nathan Boley , James B. Brown , Haiyan Huang , Nancy R. Zhang

Combined Transmission and Distribution Systems (CoTDS) simulation for power systems requires development of algorithms and software that are numerically stable and at the same time accurately simulate dynamic events that can occur in…

Systems and Control · Computer Science 2018-01-08 Ramakrishnan Venkatraman , Siddhartha Kumar Khaitan , Venkataramana Ajjarapu

Distributed quantum computing (DQC) provides a way to scale quantum computers using multiple quantum processing units (QPU) connected through quantum communication links. In this paper, we have built a distributed quantum computing…

Quantum Physics · Physics 2025-03-26 Sreraman Muralidharan

This is Part II of the paper series on data-compatible T-matrix completion (DCTMC), which is a method for solving nonlinear inverse problems. Part I of the series contains theory and here we present simulations for inverse scattering of…

Mathematical Physics · Physics 2016-11-02 Howard W. Levinson , Vadim A. Markel

Spontaneous parametric down-conversion (SPDC) is the most widely used process for generating entangled photon pairs. In SPDC, a pump photon interacts with a nonlinear optical crystal and splits into two entangled photons called the signal…

In this letter, we study spontaneous parametric down-conversion (SPDC) in a periodically poled structure composed of two linearly uncoupled resonators that are nonlinearly coupled via a Mach-Zehnder interferometer. The device does not…

Optics · Physics 2024-06-27 Alessia Stefano , Luca Zatti , Marco Liscidini

We study finite-state controllers (FSCs) for partially observable Markov decision processes (POMDPs) that are provably correct with respect to given specifications. The key insight is that computing (randomised) FSCs on POMDPs is equivalent…

Logic in Computer Science · Computer Science 2018-07-18 Sebastian Junges , Nils Jansen , Ralf Wimmer , Tim Quatmann , Leonore Winterer , Joost-Pieter Katoen , Bernd Becker

Single-photon sources are necessary components for many prospective quantum technologies. One candidate for a single-photon source is spontaneous parametric down conversion combined with a heralding photon detection. The heralded light…

Quantum Physics · Physics 2024-09-04 Emil R. Hellebek , Klaus Mølmer , Anders S. Sørensen

In the light of the progress in quantum technologies, the task of verifying the correct functioning of processes and obtaining accurate tomographic information about quantum states becomes increasingly important. Compressed sensing, a…

Quantum Physics · Physics 2017-05-15 A. Steffens , C. Riofrio , W. McCutcheon , I. Roth , B. A. Bell , A. McMillan , M. S. Tame , J. G. Rarity , J. Eisert

We present a novel method for solving eigenvalue problems on a quantum computer based on spectroscopy. The method works by coupling a "probe" qubit to a set of system simulation qubits and then time evolving both the probe and the system…

Quantum Physics · Physics 2023-02-14 John P. T. Stenger , Gilad Ben-Shach , David Pekker , Nicholas T. Bronn