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Efficient representation of quantum many-body states on classical computers is a problem of enormous practical interest. An ideal representation of a quantum state combines a succinct characterization informed by the system's structure and…

Quantum Physics · Physics 2023-04-11 Abhijith Jayakumar , Marc Vuffray , Andrey Y. Lokhov

It is argued that the orthodox interpretation of quantum mechanics is in conflict with the objective existence of space-time, and suggested that kets are labels which name real states of matter but do not directly describe them. Position is…

General Physics · Physics 2014-05-13 Charles Francis

Quantum computing offers significant speedup compared to classical computing, which has led to a growing interest among users in learning and applying quantum computing across various applications. However, quantum circuits, which are…

Quantum Physics · Physics 2023-11-15 Shaolun Ruan , Qiang Guan , Paul Griffin , Ying Mao , Yong Wang

A naive classical representation of an n-qubit state requires specifying exponentially many amplitudes in the computational basis. Past works have demonstrated that classical neural networks can succinctly express these amplitudes for many…

Quantum Physics · Physics 2024-10-31 Tai-Hsuan Yang , Mehdi Soleimanifar , Thiago Bergamaschi , John Preskill

In this paper, we are interested in detecting the presence of a nearby phase-sensitive object, where traveling light works out under a low-photon loss rate. Here we investigate the optimal quantum phase estimation with generalized…

Quantum Physics · Physics 2020-07-30 Seung-Woo Lee , Su-Yong Lee , Jaewan Kim

Continuous phase spaces have become a powerful tool for describing, analyzing, and tomographically reconstructing quantum states in quantum optics and beyond. A plethora of these phase-space techniques are known, however a thorough…

Quantum Physics · Physics 2020-02-24 Bálint Koczor , Robert Zeier , Steffen J. Glaser

Quantum computation is a promising emerging technology which, compared to conventional computation, allows for substantial speed-ups e.g. for integer factorization or database search. However, since physical realizations of quantum…

Quantum Physics · Physics 2018-06-07 Alwin Zulehner , Robert Wille

Collective light-matter interactions have been used to control chemistry and energy transfer, yet accessible approaches that combine ab initio methodology with large many-body quantum optical systems are missing due to the fast increase in…

Quantum Physics · Physics 2024-08-27 Frieder Lindel , Dominik Lentrodt , Stefan Yoshi Buhmann , Christian Schäfer

Recent development in quantum information sciences and technologies, especially building programmable quantum computers, provide us new opportunities to study fundamental aspects of quantum mechanics. We propose qubit models to emulate the…

Quantum Physics · Physics 2022-06-29 Meng-Jun Hu , Yanbei Chen , Yiqiu Ma , Xiang Li , Yubao Liu , Yong-Sheng Zhang , Haixing Miao

Generalized cat states represent arbitrary superpositions of coherent states, which are of great importance in various quantum information processing protocols. Here we demonstrate a versatile approach to creating generalized itinerant cat…

One of the most central and controversial element of quantum mechanics is the use of non zero vectors of a Hilbert space (or, more generally, of one dimension subspaces) for representing the state of a quantum system. In particular, the…

Quantum Physics · Physics 2009-11-13 Olivier Brunet

We introduce a visual representation for generating entangled-based quantum effects under pre- and post- selected states that allows us to reveal equivalence between seemingly different quantum effects. We show how to realize entangled…

Quantum Physics · Physics 2025-01-27 Yakir Aharonov , Tomer Shushi

Processing of digital images is continuously gaining in volume and relevance, with concomitant demands on data storage, transmission and processing power. Encoding the image information in quantum-mechanical systems instead of classical…

We extensively discuss how Schrodinger cat states (superpositions of well-separated coherent states) in optical systems can be used for quantum information processing.

Quantum Physics · Physics 2007-05-23 H. Jeong , T. C. Ralph

In this article we present a new modelling framework for structured concepts using a category-theoretic generalisation of conceptual spaces, and show how the conceptual representations can be learned automatically from data, using two very…

Neurons and Cognition · Quantitative Biology 2024-01-18 Sean Tull , Razin A. Shaikh , Sara Sabrina Zemljic , Stephen Clark

We consider some generalization of the theory of quantum states and demonstrate that the consideration of quantum states as sheaves can provide, in principle, more deep understanding of some well-known phenomena. The key ingredients of the…

Quantum Physics · Physics 2017-03-29 Antonina N. Fedorova , Michael G. Zeitlin

The Bloch Sphere visualization of the possible states of a single qubit has proved a useful pedagogical and conceptual tool as a one-to-one map between qubit states and points in a 3-D space. However, understanding many important concepts…

Quantum Physics · Physics 2024-05-31 Li-Heng Henry Chang , Shea Roccaforte , Ziyu Xu , Paul Cadden-Zimansky

The dimension of a quantum state is traditionally seen as the number of superposed distinguishable states in a given basis. We propose an absolute, i.e.~basis-independent, notion of dimensionality for ensembles of quantum states. It is…

Quantum Physics · Physics 2024-12-24 Alexander Bernal , Gabriele Cobucci , Martin J. Renner , Armin Tavakoli

We show that it is possible to represent various descriptions of Quantum Mechanics in geometrical terms. In particular we start with the space of observables and use the momentum map associated with the unitary group to provide an unified…

Mathematical Physics · Physics 2008-11-26 J. F. Carinena , J. Clemente-Gallardo , G. Marmo

Superposed coherent states are central to quantum technologies, yet their reliable identification remains a challenge, especially in noisy or resource-constrained settings. We introduce a novel, directly measurable criterion for detecting…

Quantum Physics · Physics 2026-04-27 Šimon Bräuer , Jan Provazník , Vojtěch Kala , Petr Marek