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This is an introduction to loop quantum cosmology (LQC) reviewing mini- and midisuperspace models as well as homogeneous and inhomogeneous effective dynamics.

General Relativity and Quantum Cosmology · Physics 2012-03-27 Kinjal Banerjee , Gianluca Calcagni , Mercedes Martín-Benito

Measurement-based quantum computing (MBQC) in linear optical systems is promising for near-future quantum computing architecture. However, the nondeterministic nature of entangling operations and photon losses hinder the large-scale…

Quantum Physics · Physics 2023-04-25 Seok-Hyung Lee , Srikrishna Omkar , Yong Siah Teo , Hyunseok Jeong

The main ideas of quantum error correction are introduced. These are encoding, extraction of syndromes, error operators, and code construction. It is shown that general noise and relaxation of a set of 2-state quantum systems can always be…

Quantum Physics · Physics 2007-05-23 A. M. Steane

We report an algorithm, based on quantum optics formulation, where a coherent state is used as the elementary quantum resource for the image representation. We provide an architecture with constituent optical elements in linear order with…

Quantum Physics · Physics 2024-10-01 Vivek Mehta , Sonali Jana , Utpal Roy

Quantum Computing (QC) claims to improve the efficiency of solving complex problems, compared to classical computing. When QC is integrated with Machine Learning (ML), it creates a Quantum Machine Learning (QML) system. This paper aims to…

Quantum Physics · Physics 2025-06-11 Kamila Zaman , Alberto Marchisio , Muhammad Abdullah Hanif , Muhammad Shafique

Quantum error correction (QEC) and fault-tolerant quantum computation represent one of the most vital theoretical aspect of quantum information processing. It was well known from the early developments of this exciting field that the…

Quantum Physics · Physics 2015-05-13 Simon J. Devitt , Kae Nemoto , William J. Munro

The work explores the integration of quantum computing into logistics and supply chain management, emphasising its potential for use in complex optimisation problems. The discussion introduces quantum computing principles, focusing on…

Quantum Physics · Physics 2025-04-03 Frank Phillipson

Quantum computing, leveraging the principles of quantum mechanics, has been found to significantly enhance computational capabilities in principle, in some cases beyond classical computing limits. This paper explores quantum computing's…

Quantum Physics · Physics 2025-03-28 Chence Niu , Elnaz Irannezhad , Casey Myers , Vinayak Dixit

A fully optical method to perform any quantum computation with optical waveguide modes is proposed by supplying the prescriptions for a universal set of quantum gates. The proposal for quantum computation is based on implementing a quantum…

Quantum Physics · Physics 2009-11-07 Jian Fu

Here we propose an experiment in Linear Optical Quantum Computing (LOQC) using the framework first developed by Knill, Laflamme, and Milburn. This experiment will test the ideas of the authors' previous work on imperfect LOQC gates using…

Quantum Physics · Physics 2012-09-07 A. Matthew Smith , D. B. Uskov , M. Fanto , L. H. Ying , L. Kaplan

Recent advances in classical machine learning have shown that creating models with inductive biases encoding the symmetries of a problem can greatly improve performance. Importation of these ideas, combined with an existing rich body of…

This paper is an essentially self-contained and rigorous description of the fundamental principles of quantum computing from a mathematical perspective. It is intended to help mathematicians who want to get a grasp of this quickly growing…

Quantum Physics · Physics 2025-06-02 J. Ossorio-Castillo , José M. Tornero

One of the most significant challenges facing the development of linear optics quantum computing (LOQC) is mode-mismatch, whereby photon distinguishability is introduced within circuits, undermining quantum interference effects. We examine…

Quantum Physics · Physics 2009-11-13 Peter P. Rohde , Timothy C. Ralph

Quantum computation must be performed in a fault-tolerant manner to be realizable in practice. Recent progress has uncovered quantum error-correcting codes with sparse connectivity requirements and constant qubit overhead. Existing schemes…

Quantum Physics · Physics 2026-04-20 Dominic J. Williamson , Theodore J. Yoder

Non-classical states of light find applications in enhancing the performance of optical interferometric experiments, with notable example of gravitational wave-detectors. Still, the presence of decoherence hinders significantly the…

Quantum Physics · Physics 2018-08-17 R. Demkowicz-Dobrzanski , M. Jarzyna , J. Kolodynski

A preliminary overview of measurement-based quantum computation in the setting of symmetry and topological phases of quantum matter is given. The underlying mechanism for universal quantum computation by teleportation or symmetry are…

Quantum Physics · Physics 2019-07-04 Dong-Sheng Wang

Over the last decade, researchers have studied the synergy between quantum computing (QC) and classical machine learning (ML) algorithms. However, measurements in QC often disturb or destroy quantum states, requiring multiple repetitions of…

Quantum Physics · Physics 2023-06-02 Robbe De Prins , Guy Van der Sande , Peter Bienstman

In 2001 all-optical quantum computing became feasible with the discovery that scalable quantum computing is possible using only single photon sources, linear optical elements, and single photon detectors. Although it was in principle…

Quantum Physics · Physics 2008-03-12 Jeremy L. O'Brien

This work develops a formal framework for specifying, implementing, and analysing quantum communication protocols. We provide tools for developing simple proofs and analysing programs which involve communication, both via quantum channels…

Programming Languages · Computer Science 2009-07-30 Anya Tafliovich , Eric C. R. Hehner

Quantum computation is the suitable orthogonal encoding of possibly holistic functional properties into state vectors, followed by a projective measurement.

Quantum Physics · Physics 2016-05-10 Karl Svozil
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