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The quantum Fourier transform for discrete variable (dvQFT) is an efficient algorithm for several applications. It is usually considered for the processing of quantum bits (qubits) and its efficient implementation is obtained with two…

Quantum Physics · Physics 2025-12-16 Gianfranco Cariolaro , Edi Ruffa , Amir Mohammad Yaghoobianzadeh , Jawad A. Salehi

This paper will describe a simulator developed by the authors to explore the design of Fourier transform based multiplication using optics. Then it will demonstrate an application to the problem of constructing an all-optical modular…

Image and Video Processing · Electrical Eng. & Systems 2018-10-22 Abigail Timmel , John Daly

We experimentally realize "hybrid" entanglement swapping between discrete-variable (DV) and continuous-variable (CV) optical systems. DV two-mode entanglement as obtainable from a single photon split at a beam splitter is robustly…

Quantum Physics · Physics 2015-06-23 Shuntaro Takeda , Maria Fuwa , Peter van Loock , Akira Furusawa

Signal processing stands as a pillar of classical computation and modern information technology, applicable to both analog and digital signals. Recently, advancements in quantum information science have suggested that quantum signal…

Signal Processing · Electrical Eng. & Systems 2025-10-27 Yuan Liu , John M. Martyn , Jasmine Sinanan-Singh , Kevin C. Smith , Steven M. Girvin , Isaac L. Chuang

Grover's algorithm relies on the superposition and interference of quantum mechanics, which is more efficient than classical computing in specific tasks such as searching an unsorted database. Due to the high complexity of quantum…

Quantum Physics · Physics 2026-01-07 H. Sun , Z. Shi , S. Chen , G. Wang , X. Li , Y. Guan , Q. Zhang , Z. Shao

We present recursive multiport schemes for implementing quantum Fourier transforms and the inversion step in Grover's algorithm on an integrated linear optics device. In particular, each scheme shows how to execute a quantum operation on…

Quantum Physics · Physics 2016-01-18 Gelo Noel M. Tabia

Continuous-variable (CV) quantum computing is a promising candidate for quantum computation because it can, even with one mode, utilize infinite-dimensional Hilbert spaces and can efficiently handle continuous values. Although photonic…

We propose a probabilistic quantum algorithm that decides whether a monochrome picture matches a given template (or one out of a set of templates). As a major advantage to classical pattern recognition, the algorithm just requires a few…

Quantum Physics · Physics 2008-08-28 Gernot Schaller , Ralf Schützhold

We propose a quantum cloning machine, which clones a qubit into two clones assuming known modulus of expectation value of Pauli Z-matrix. The process is referred to as the mirror phase-covariant cloning, for which the input state is a…

Quantum Physics · Physics 2009-09-10 Karol Bartkiewicz , Adam Miranowicz , Şahin Kaya Özdemir

We discuss the ensemble version of the Deutsch-Jozsa (DJ) algorithm which attempts to provide a "scalable" implementation on an expectation-value NMR quantum computer. We show that this ensemble implementation of the DJ algorithm is at best…

Quantum Physics · Physics 2016-09-08 Arvind , David Collins

A joint frame and carrier frequency synchronization algorithm for coherent optical systems, based on the digital computation of the fractional Fourier transform (FRFT), is proposed. The algorithm utilizes the characteristics of energy…

Signal Processing · Electrical Eng. & Systems 2018-01-08 Oluyemi Omomukuyo , Shu Zhang , Octavia Dobre , Ramachandran Venkatesan , Telex M. N. Ngatched

Deutsch-Jozsa algorithm has been implemented via a quantum adiabatic evolution by S. Das et al. [Phys. Rev. A 65, 062310 (2002)]. This adiabatic algorithm gives rise to a quadratic speed up over classical algorithms. We show that a modified…

Quantum Physics · Physics 2009-11-11 Zhaohui Wei , Mingsheng Ying

ROM-based quantum computation (QC) is an alternative to oracle-based QC. It has the advantages of being less ``magical'', and being more suited to implementing space-efficient computation (i.e. computation using the minimum number of…

Quantum Physics · Physics 2009-11-07 D. R. Sypher , I. M. Brereton , H. M. Wiseman , B. L. Hollis , B. C. Travaglione

In recent years, squeezed cat codes with resilience to specific types of loss have been proposed as a step toward realizing fault-tolerant optical quantum computers. However, error correction for squeezed cat codes requires a strong…

Quantum Physics · Physics 2025-11-20 Shohei Kiryu , Kosuke Fukui , Atsushi Okamoto , Akihisa Tomita

Using spectrally correlated photon pairs instead of classical laser light and coincidence detection instead of light intensity detection, Quantum Optical Coherence Tomography (Q-OCT) outperforms classical OCT in several experimental terms.…

Quantum Physics · Physics 2025-10-06 Sylwia M. Kolenderska , Crislane Vieira de Brito , Piotr Kolenderski

We present simple new Hoare logics and refinement calculi for hybrid systems in the style of differential dynamic logic. (Refinement) Kleene algebra with tests is used for reasoning about the program structure and generating verification…

Logic in Computer Science · Computer Science 2019-10-31 Simon Foster , Jonathan Julián Huerta y Munive , Georg Struth

Fully internal and motional state controlled and individually manipulable polar molecules are desirable for many quantum science applications leveraging the rich state space and intrinsic interactions of molecules. While prior efforts at…

Atomic systems, ranging from trapped ions to ultracold and Rydberg atoms, offer unprecedented control over both internal and external degrees of freedom at the single-particle level. They are considered among the foremost candidates for…

Quantum Physics · Physics 2019-01-23 G. Pagano , F. Scazza , M. Foss-Feig

We study the advantage of pure-state quantum computation without entanglement over classical computation. For the Deutsch-Jozsa algorithm we present the maximal subproblem that can be solved without entanglement, and show that the algorithm…

Quantum Physics · Physics 2009-11-11 Dan Kenigsberg , Tal Mor , Gil Ratsaby

We demonstrate that the coherence of a single mobile atomic qubit can be well preserved during a transfer process among different optical dipole traps (ODTs). This is a prerequisite step in realizing a large-scale neutral atom quantum…