Relevant bibliographies by topics / Quantum computing formalism

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  2. Dissertations / Theses
  3. Books
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  5. Conference papers

Academic literature on the topic 'Quantum computing formalism'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Quantum computing formalism"

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PRIVMAN, VLADIMIR. "SHORT-TIME DECOHERENCE AND DEVIATION FROM PURE QUANTUM STATES." Modern Physics Letters B 16, no. 13 (2002): 459–65. http://dx.doi.org/10.1142/s0217984902003920.

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In systems considered for quantum computing, i.e., for control of quantum dynamics with the goal of processing information coherently, decoherence and deviation from pure quantum states, are the main obstacles to error correction. At low temperatures, usually assumed in quantum computing designs, some of the accepted approaches to evaluation of relaxation mechanisms break down. We develop a new formalism for the estimation of decoherence at short times, appropriate for evaluation of quantum computing architectures.
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Varpaaniemi, Kimmo, and Leo Ojala. "Modelling and Simulation of Quantum Teleportation and Dense Coding Using Predicate/Transition-Nets." Fundamenta Informaticae 85, no. 1-4 (2008): 465–79. https://doi.org/10.3233/fun-2008-851-432.

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Reachability analysis is one of the most successful methods used in design and validation of protocols for classical communication, whereas the predicate/transition-net formalism is one of the most appropriate formalisms for reachability analysis oriented modelling. Quantum teleportation and dense coding are non-classical communication protocols that have been widely researched in the field of quantum computing. In this article, we present predicate/transitionnet models of these two protocols and use the PROD reachability analysis tool for analysing the models.
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Bollinger, Terry. "Yuri Manin on Biomolecules as Quantum Computers." Terry's Archive Online 2021, no. 02 (2021): 0205. http://dx.doi.org/10.48034/20210205.

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In 1980, Russian mathematician Yuri Manin published Computable and Uncomputable. On pages 14 and 15 of his introduction, Manin suggests that “Molecular biology furnishes examples of the behavior of natural (not engineered by humans) systems which we have to describe in terms initially devised for discrete automata.” Manin then describes the remarkable energy efficiency of naturally occurring biomolecular processes such as DNA replication. He proposes modeling such behaviors in terms of unitary rotations in a finite-dimensional Hilbert space. The decomposition of such systems then corresponds t
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Bi, Qiao, Liu Guo, and H. E. Ruda. "Quantum Computing in Decoherence-Free Subspace Constructed by Triangulation." Advances in Mathematical Physics 2010 (2010): 1–10. http://dx.doi.org/10.1155/2010/365653.

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A formalism for quantum computing in decoherence-free subspaces is presented. The constructed subspaces are partial triangulated to an index related to environment. The quantum states in the subspaces are just projected states which are ruled by a subdynamic kinetic equation. These projected states can be used to perform ideal quantum logical operations without decoherence.
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McKeon, D. G. C. "Evaluation of loop diagrams using quantum mechanics." Canadian Journal of Physics 70, no. 8 (1992): 652–55. http://dx.doi.org/10.1139/p92-105.

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In using the proper time formalism, Schwinger demonstrated that one-loop processes in quantum field theory can be expressed in terms of a matrix element whose form is encountered in quantum mechanics, and which can be evaluated using the Heisenberg formalism. We demonstrate how instead this matrix element can be computed using standard results in the path-integral formalism. The technique of operator regularization allows one to extend this approach to arbitrary loop order. No loop-momentum integrals are ever encountered. This technique is illustrated by computing the two-point function in [Fo
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Käding, Christian, and Mario Pitschmann. "Density Matrix Formalism for Interacting Quantum Fields." Universe 8, no. 11 (2022): 601. http://dx.doi.org/10.3390/universe8110601.

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We provide a description of interacting quantum fields in terms of density matrices for any occupation numbers in Fock space in a momentum basis. As a simple example, we focus on a real scalar field interacting with another real scalar field, and present a practicable formalism for directly computing the density matrix elements of the combined scalar–scalar system. For deriving the main formula, we use techniques from non-equilibrium quantum field theory like thermo-field dynamics and the Schwinger–Keldysh formalism. Our results allow for studies of particle creation/annihilation processes at
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Espinel-López, Cristian, Alvaro Martínez-Gómez, Marisol Aguilar-Echeverría, and Hipatia Mañay-Mañay. "Evolución de componentes de computación cuántica y mediciones cuánticas no destructivas en la informática moderna. //Evolution of quantum computing components and non-destructive quantum measurements in modern computing." CIENCIA UNEMI 11, no. 28 (2018): 57–69. http://dx.doi.org/10.29076/issn.2528-7737vol11iss28.2018pp57-69p.

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El presente trabajo, realiza una breve introducción a las medidas QND (Quantum nondemolition measurement) y sus características. Además, se describe teóricamente un qubit acoplado a un oscilador armónico cuántico forzado como ejemplo de una medición QND en un qubit. El formalismo desarrollado para este tipo de sistemas cuánticos acoplados se desenvuelve dentro de la teoría cuántica de la computación. Como parte del estudio de las mediciones QND, se introducen los qubits de flujo que hacen uso de los interferómetros superconductores cuánticos (SQUIDs). El análisis de este esquema informático in
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Albantakis, Larissa, Robert Prentner, and Ian Durham. "Reply to Rourk, C. Comment on “Albantakis et al. Computing the Integrated Information of a Quantum Mechanism. Entropy 2023, 25, 449”." Entropy 25, no. 10 (2023): 1442. http://dx.doi.org/10.3390/e25101442.

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In response to a comment by Chris Rourk on our article Computing the Integrated Information of a Quantum Mechanism, we briefly (1) consider the role of potential hybrid/classical mechanisms from the perspective of integrated information theory (IIT), (2) discuss whether the (Q)IIT formalism needs to be extended to capture the hypothesized hybrid mechanism, and (3) clarify our motivation for developing a QIIT formalism and its scope of applicability.
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Mousavi, S. V., and S. Miret-Artés. "Quantum Classical Transition for Mixed States: The Scaled Von Neumann Equation." Symmetry 15, no. 6 (2023): 1184. http://dx.doi.org/10.3390/sym15061184.

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In this work, we proposed a smooth transition wave equation from a quantum to classical regime in the framework of von Neumann formalism for ensembles and then obtained an equivalent scaled equation. This led us to develop a scaled statistical theory following the well-known Wigner–Moyal approach of quantum mechanics. This scaled nonequilibrium statistical mechanics has in it all the ingredients of the classical and quantum theory described in terms of a continuous parameter displaying all the dynamical regimes in between the two extreme cases. Finally, a simple application of our scaled forma
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Albantakis, Larissa, Robert Prentner, and Ian Durham. "Computing the Integrated Information of a Quantum Mechanism." Entropy 25, no. 3 (2023): 449. http://dx.doi.org/10.3390/e25030449.

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Originally conceived as a theory of consciousness, integrated information theory (IIT) provides a theoretical framework intended to characterize the compositional causal information that a system, in its current state, specifies about itself. However, it remains to be determined whether IIT as a theory of consciousness is compatible with quantum mechanics as a theory of microphysics. Here, we present an extension of IIT’s latest formalism to evaluate the mechanism integrated information (φ) of a system subset to discrete, finite-dimensional quantum systems (e.g., quantum logic gates). To that
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Dissertations / Theses on the topic "Quantum computing formalism"

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Lumia, Luca. "Digital quantum simulations of Yang-Mills lattice gauge theories." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2021. http://amslaurea.unibo.it/22355/.

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I metodi di calcolo tradizionali per le teorie di gauge su reticolo risultano problematici in regioni di diagrammi di fase a grandi valori del potenziale chimico o quando sono utilizzate per riprodurre la dinamica in tempo reale di un modello. Tali problemi possono essere evitati da simulazioni quantistiche delle teorie di gauge su reticolo, le quali stanno diventando sempre più riproducibili sperimentalmente, grazie ai recenti progressi tecnologici. In questa tesi formuliamo una versione delle teorie di Yang-Mills su reticolo appropriata per risolvere il problema della dimensione infinita del
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de, Beaudrap Jonathan Robert Niel. "Theory of measurement-based quantum computing." Thesis, 2008. http://hdl.handle.net/10012/4133.

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In the study of quantum computation, data is represented in terms of linear operators which form a generalized model of probability, and computations are most commonly described as products of unitary transformations, which are the transformations which preserve the quality of the data in a precise sense. This naturally leads to unitary circuit models, which are models of computation in which unitary operators are expressed as a product of "elementary" unitary transformations. However, unitary transformations can also be effected as a composition of operations which are not all unitary themsel
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Books on the topic "Quantum computing formalism"

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Contextual Approach To Quantum Formalism. Springer, 2009.

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Succi, Sauro. QLB for Quantum Many-Body and Quantum Field Theory. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0033.

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Chapter 32 expounded the basic theory of quantum LB for the case of relativistic and non-relativistic wavefunctions, namely single-particle quantum mechanics. This chapter goes on to cover extensions of the quantum LB formalism to the overly challenging arena of quantum many-body problems and quantum field theory, along with an appraisal of prospective quantum computing implementations. Solving the single particle Schrodinger, or Dirac, equation in three dimensions is a computationally demanding task. This task, however, pales in front of the ordeal of solving the Schrodinger equation for the
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Succi, Sauro. Quantum Lattice Boltzmann (QLB). Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0032.

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The Lattice Boltzmann concepts and applications described so far refer to classical, i.e., non-quantum physics. However, the LB formalism is not restricted to classical Newtonian mechanics and indeed an LB formulation of quantum mechanics, going by the name of quantum LB (QLB) has been in existence for more than two decades. Even though it would far-fetched to say that QLB represents a mainstream, in the recent years it has captured some revived interest, mostly on account of recent developments in quantum-computing research. This chapter provides an account of the QLB formulation: stay tuned,
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Book chapters on the topic "Quantum computing formalism"

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"The Unitary Formalism." In Quantum Computing Without Magic. The MIT Press, 2008. http://dx.doi.org/10.7551/mitpress/7724.003.0006.

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BAUTISTA, C., M. CASTROCARDONA, and A. ZEHE. "A formalism for quantum computing and a satisfiability problem." In Recent Advances in Multidisciplinary Applied Physics. Elsevier, 2005. http://dx.doi.org/10.1016/b978-008044648-6/50046-x.

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Peruš, Mitja, and Chu Kiong Loo. "Comparison of the Mathematical Formalism of Associative ANN and Quantum Theory." In Biological and Quantum Computing for Human Vision. IGI Global, 2011. http://dx.doi.org/10.4018/978-1-61520-785-5.ch007.

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Tuckerman, Mark E. "Quantum time-dependent statistical mechanics." In Statistical Mechanics: Theory and Molecular Simulation, 2nd ed. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/oso/9780198825562.003.0014.

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Abstract Chapter 14 covers the statistical mechanics of driven quantum systems and the non-equilibrium ensembles associated with them. The topic is presented both from the state-vector and density matrix perspectives. The chapter begins with a discussion of driving forces resulting from light-matter interactions and their treatment via time-dependent perturbation theory. The Fermi Golden Rule is derived, and it is shown how to incorporate the Golden Rule into the calculation of frequency spectra within the canonical ensemble, which then connects to canonical quantum time correlation functions.
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Conference papers on the topic "Quantum computing formalism"

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KONDO, Yasushi, Mikio NAKAHARA, and Shogo TANIMURA. "Liquid-State NMR Quantum Computer: Hamiltonian Formalism and Experiments." In Physical Realizations of Quantum Computing — Are the DiVincenzo Criteria Fulfilled in 2004? WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774705_0005.

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Kurizki, G., G. Gordon, and N. Erez. "What is decoherence and how to control it?" In Workshop on Entanglement and Quantum Decoherence. Optica Publishing Group, 2008. http://dx.doi.org/10.1364/weqd.2008.edd2.

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A physical picture -is presented of decoherence and its dynamical control on non-Markovian time scales. The Nakajima-Zwanzig master-equation formalism , combined with optimal-control theory , is used to obtain universal recipes for driving fields capable of optimally suppressing decoherence or maximizing fidelity in multipartite quantum computing or storage .This approach also allows ultrafast control of thermodynamic properties.
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Corli, Sebastiano, Daniele Dragoni, Massimiliano Proietti, Massimiliano Dispenza, Carlo Cavazzoni, and Enrico Prati. "A Max K-Cut Implementation for QAOA in the Measurement Based Quantum Computing Formalism." In 2023 IEEE International Conference on Quantum Computing and Engineering (QCE). IEEE, 2023. http://dx.doi.org/10.1109/qce57702.2023.10244.

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Gerasimov, I. V., S. A. Kuzmin, and N. M. Safiannikov. "The space-time formalism in description of quantum information object characteristic properties in the context of problem-solving of observable quantities soft measurements for CARD-systems VI-environments." In 2015 XVIII International Conference on Soft Computing and Measurements (SCM). IEEE, 2015. http://dx.doi.org/10.1109/scm.2015.7190471.

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