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The canonical problem of solving a system of linear equations arises in numerous contexts in information theory, communication theory, and related fields. In this contribution, we develop a solution based upon Gaussian belief propagation…

Information Theory · Computer Science 2009-04-16 Ori Shental , Paul H. Siegel , Jack K. Wolf , Danny Bickson , Danny Dolev

With the aim to loosen the entanglement requirements of quantum illumination, we study the performance of a family of Gaussian states at the transmitter, combined with an optimal and joint quantum measurement at the receiver. We find that…

Quantum Physics · Physics 2020-09-08 Athena Karsa , Gaetana Spedalieri , Quntao Zhuang , Stefano Pirandola

Challenging combinatorial optimization problems are ubiquitous in science and engineering. Several quantum methods for optimization have recently been developed, in different settings including both exact and approximate solvers. Addressing…

Quantum Physics · Physics 2023-09-20 Nicolas PD Sawaya , Albert T Schmitz , Stuart Hadfield

Despite rapid recent advances in quantum machine learning, the field is in many ways stuck. Existing approaches can exhibit serious limitations, and we still lack learning frameworks that are simple, interpretable, scalable, and naturally…

Hilbert space dimension is a key resource for quantum information processing. A large Hilbert space is not only an essential requirement for quantum error correction, but it can also be advantageous for realizing gates and algorithms more…

Classically simulating circuits with bosonic codes is challenging due to the prohibitive cost of simulating quantum systems with many, possibly infinite, energy levels. We propose an algorithm to simulate circuits with encoded…

Quantum Physics · Physics 2025-10-15 Cameron Calcluth , Oliver Hahn , Juani Bermejo-Vega , Alessandro Ferraro , Giulia Ferrini

Entanglement is an essential ingredient for building a quantum network that can have many applications. Understanding how entanglement is distributed in a network is a crucial step to move forward. Here we study the conservation and…

Quantum Physics · Physics 2021-10-26 Jiru Liu , Wenchao Ge , M. Suhail Zubairy

Gaussian boson sampling (GBS) is a model of nonuniversal quantum computation that claims to demonstrate quantum supremacy with current technologies. This model entails sampling photocounting events from a multimode Gaussian state at the…

Quantum Physics · Physics 2024-10-22 I. S. Yeremenko , M. A. Dmytruk , A. A. Semenov

Key to realising quantum computers is minimising the resources required to build logic gates into useful processing circuits. While the salient features of a quantum computer have been shown in proof-of-principle experiments, difficulties…

Quantum Physics · Physics 2016-03-29 Raj B. Patel , Joseph Ho , Franck Ferreyrol , Timothy C. Ralph , Geoff J. Pryde

We propose an architecture of quantum-error-correction-based quantum repeaters that combines techniques used in discrete- and continuous-variable quantum information. Specifically, we propose to encode the transmitted qubits in a…

Quantum Physics · Physics 2021-06-24 Filip Rozpędek , Kyungjoo Noh , Qian Xu , Saikat Guha , Liang Jiang

In quantum computation with continous-variable systems, quantum advantage can only be achieved if some non-Gaussian resource is available. Yet, non-Gaussian unitary evolutions and measurements suited for computation are challenging to…

Quantum Physics · Physics 2017-06-13 Francesco Arzani , Nicolas Treps , Giulia Ferrini

Proofs of the quantum advantage available in imaging or detecting objects under quantum illumination can rely on optimal measurements without specifying what they are. We use the continuous-variable Gaussian quantum information formalism to…

Quantum Physics · Physics 2021-03-04 Hao Yang , Wojciech Roga , Jonathan D. Pritchard , John Jeffers

In this manuscript we introduce numerical Gaussian process Kalman filtering (GPKF). Numerical Gaussian processes have recently been developed to simulate spatiotemporal models. The contribution of this paper is to embed numerical Gaussian…

Machine Learning · Statistics 2020-05-12 Armin Küper , Steffen Waldherr

The Gaussian Process Convolution Model (GPCM; Tobar et al., 2015a) is a model for signals with complex spectral structure. A significant limitation of the GPCM is that it assumes a rapidly decaying spectrum: it can only model smooth…

Machine Learning · Statistics 2022-04-15 Wessel P. Bruinsma , Martin Tegnér , Richard E. Turner

High-dimensional multipartite entanglement plays a crucial role in quantum information science. However, existing schemes for generating such entanglement become complex and costly as the dimension of quantum units increases. In this work,…

Quantum Physics · Physics 2024-12-24 Seungbeom Chin , Junghee Ryu , Yong-Su Kim

We study a simple-harmonic-oscillator quantum computer solving oracle decision problems. We show that such computers can perform better by using nonorthogonal Gaussian wave functions rather than orthogonal top-hat wave functions as input to…

Quantum Physics · Physics 2013-05-14 Mark Adcock , Peter Hoyer , Barry C. Sanders

We investigate entanglement-based quantum key distribution protocols, with particular emphasis on their efficiency under realistic conditions of satellite quantum communications, where performance is limited by the low power of a received…

Quantum Physics · Physics 2026-05-21 Vera Uzunova , Marcin Jarzyna

One of the crucial generic techniques for quantum computation is amplitude encoding. Although several approaches have been proposed, each of them often requires exponential classical-computational cost or an oracle whose explicit…

Quantum Physics · Physics 2024-12-06 Taichi Kosugi , Shunsuke Daimon , Hirofumi Nishi , Shinji Tsuneyuki , Yu-ichiro Matsushita

The Gottesman-Kitaev-Preskill (GKP) quantum error correcting code attracts much attention in continuous variable (CV) quantum computation and CV quantum communication due to the simplicity of error correcting routines and the high tolerance…

Quantum Physics · Physics 2020-09-23 Takaya Matsuura , Hayata Yamasaki , Masato Koashi

Gottesman-Kitaev-Preskill (GKP) states have been demonstrated to pose significant advantages when utilized for fault-tolerant all optical continuous-variable quantum computing as well as for quantum communications links for entanglement…

Quantum Physics · Physics 2025-07-30 Prajit Dhara , Liang Jiang , Saikat Guha