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Measurement-Based Quantum Computation (MBQC) is a model of quantum computation, which uses local measurements instead of unitary gates. Here we explain that the MBQC procedure has a fundamental basis in an underlying gauge theory. This…

High Energy Physics - Theory · Physics 2024-07-10 Gabriel Wong , Robert Raussendorf , Bartlomiej Czech

It is now widely recognized that the toric code is a pure gauge-theory model governed by a projective Hamiltonian with topological orders. In this work, we extend the interplay between quantum information system and gauge-theory model from…

Statistical Mechanics · Physics 2023-08-09 Yoshihito Kuno , Ikuo Ichinose

The It from Qubit paradigm proposes that gravitational spacetimes emerge from quantum entanglement. So far, the main evidence for this involves holographic dualities, where the entangled qubits live in a dual nongravitational theory. In…

High Energy Physics - Theory · Physics 2025-04-07 Gabriel Wong

Based on our model of quantum systems as emerging from the coupled dynamics between oscillating "bouncers" and the space-filling zero-point field, a sub-quantum account of nonlocal correlations is given. This is explicitly done for the…

Quantum Physics · Physics 2013-01-08 Gerhard Groessing , Siegfried Fussy , Johannes Mesa Pascasio , Herbert Schwabl

Quantum simulations of lattice gauge theories (LGTs) with both dynamical matter and gauge fields provide a promising approach to studying strongly coupled problems beyond classical computational reach. Yet, implementing gauge-invariant…

Quantum Physics · Physics 2025-07-29 S. Saner , O. Băzăvan , D. J. Webb , G. Araneda , C. J. Ballance , R. Srinivas , D. M. Lucas , A. Bermúdez

We present a unified framework to describe lattice gauge theories by means of tensor networks: this framework is efficient as it exploits the high amount of local symmetry content native of these systems describing only the gauge invariant…

Quantum Physics · Physics 2014-10-14 Pietro Silvi , Enrique Rico , Tommaso Calarco , Simone Montangero

Interacting fields can be constructed as formal power series in the framework of causal perturbation theory. The local field algebra $\tilde {\cal F}({\cal O})$ is obtained without performing the adiabatic limit; the (usually bad) infrared…

High Energy Physics - Theory · Physics 2009-10-31 M. Duetsch , K. Fredenhagen

The combination of quantum theory and special relativity leads to structures that differ in several respects from non-relativistic quantum mechanics of particles. These differences are quite familiar to practitioners of Algebraic Quantum…

Quantum Physics · Physics 2015-09-02 Jakob Yngvason

Entanglement is a hallmark of quantum theory, yet it alone does not capture the full extent of quantum complexity: some highly entangled states can still be classically simulated. Non-classical behavior also requires magic, the non-Clifford…

High Energy Physics - Theory · Physics 2026-05-29 Claudia Núñez , Miguel Pardina , Manuel Asorey , José Ignacio Latorre , Alba Cervera-Lierta

We propose a superconducting-circuit architecture that realizes a compact U(1) lattice gauge theory using the intrinsic infinite-dimensional Hilbert space of phase and charge variables. The gauge and matter fields are encoded directly in…

Quantum Physics · Physics 2026-02-02 J. M. Alcaine-Cuervo , S. Pradhan , E. Rico , Z. Shi , C. M. Wilson

Quantum entanglement is a defining signature and resource of quantum theory, but its standard definition presupposes a globally fixed decomposition into subsystems. We develop a geometric framework that detects when such a decomposition…

Algebraic Geometry · Mathematics 2026-01-27 Kazuki Ikeda

The outcomes of measurements on entangled quantum systems can be nonlocally correlated. However, while it is easy to write down toy theories allowing arbitrary nonlocal correlations, those allowed in quantum mechanics are limited. Quantum…

Quantum Physics · Physics 2015-03-17 Peter Janotta , Christian Gogolin , Jonathan Barrett , Nicolas Brunner

We study when a physical operation can produce entanglement between two systems initially disentangled. The formalism we develop allows to show that one can perform certain non-local operations with unit probability by performing local…

Quantum Physics · Physics 2009-11-06 J. I. Cirac , W. Dür , B. Kraus , M. Lewenstein

Entanglement theory is formulated as a quantum resource theory in which the free operations are local operations and classical communication (LOCC). This defines a partial order among bipartite pure states that makes it possible to identify…

Quantum Physics · Physics 2019-07-18 Patricia Contreras-Tejada , Carlos Palazuelos , Julio I. de Vicente

In the present paper I show how it is possible to derive the Hilbert space formulation of Quantum Mechanics from a comprehensive definition of "physical experiment" and assuming "experimental accessibility and simplicity" as specified by…

Quantum Physics · Physics 2007-05-23 Giacomo Mauro D'Ariano

We consider error suppression schemes in which quantum information is encoded into the ground subspace of a Hamiltonian comprising a sum of commuting terms. Since such Hamiltonians are gapped they are considered natural candidates for…

Quantum Physics · Physics 2015-01-09 Iman Marvian , Daniel A. Lidar

"action at a distance" is a weird concept in quantum theory which people always avoid mentioning in most occasions. In this work, without involving any concept about "action at a distance", we naturally construct a physical structure that…

Quantum Physics · Physics 2018-05-04 Ze Wu , Ming-jun Shi

Recent proposals suggest that detecting entanglement between two spatially superposed masses would establish the quantum nature of gravity. However, these gravitationally induced entanglement (GIE) experiments rely on assumptions about…

Quantum Physics · Physics 2025-12-23 Nicolas Boulle , Guilherme Franzmann

Distributed quantum information processing is a promising platform for scaling up quantum information processing, where small- and intermediate-scale quantum devices are connected by a network of quantum channels for communicating quantum…

Quantum Physics · Physics 2019-03-26 Hayata Yamasaki

Neighborhood regression has been a successful approach in graphical and structural equation modeling, with applications to learning undirected and directed graphical models. We extend these ideas by defining and studying an algebraic…

Statistics Theory · Mathematics 2019-02-07 Arash A. Amini , Bryon Aragam , Qing Zhou