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Linear optical quantum circuits with photon number resolving (PNR) detectors are used for both Gaussian Boson Sampling (GBS) and for the preparation of non-Gaussian states such as Gottesman-Kitaev-Preskill (GKP), cat and NOON states. They…

量子物理 · 物理学 2023-08-30 Robbe De Prins , Yuan Yao , Anuj Apte , Filippo M. Miatto

We present an implementation of Grover's algorithm in the framework of Feynman's cursor model of a quantum computer. The cursor degrees of freedom act as a quantum clocking mechanism, and allow Grover's algorithm to be performed using a…

量子物理 · 物理学 2007-05-23 Diego de Falco , Dario Tamascelli

We present a probabilistic quantum algorithm for preparing mixed states which, in expectation, are proportional to the solutions of Lyapunov equations -- linear matrix equations ubiquitous in the analysis of classical and quantum dynamical…

量子物理 · 物理学 2026-04-20 Marcello Benedetti , Ansis Rosmanis , Matthias Rosenkranz

Grover discovered a quantum algorithm for identifying a target element in an unstructured search universe of N items in approximately square-root of N queries to a quantum oracle, thus achieving a square-root speed-up over classical…

量子物理 · 物理学 2007-05-23 Erdal Arikan

Werner states are defined as bipartite qudit states that remain unchanged under application of arbitrary unitary operators acting on both subsystems simultaneously. Their preparation is a crucial ingredient in entanglement distillation…

量子物理 · 物理学 2019-11-19 David Jakob Stonner

Using the tensor product representation in the density matrix renormalization group, we show that a quantum circuit of Grover's algorithm, which has one-qubit unitary gates, generalized Toffoli gates, and projective measurements, can be…

量子物理 · 物理学 2007-05-23 A. Kawaguchi , K. Shimizu , Y. Tokura , N. Imoto

Synthesis of the Einstein-Podolsky-Rosen entangled state --- the primary entangled resource in continuous-variable quantum-optical information processing --- is a technological challenge of great importance. Here we propose and implement a…

量子物理 · 物理学 2017-03-08 Ilya A. Fedorov , Alexander E. Ulanov , Yury V. Kurochkin , A. I. Lvovsky

In this paper, we study supersymmetry in quantum mechanics using the generalized uncertainty principle (GUP), or in other words, generalized supersymmetry in quantum mechanics. We construct supersymmetry in the generalized form of the…

量子物理 · 物理学 2024-09-06 Meysam Hassandoust

Grover's algorithm solves the unstructured search problem. Grover's algorithm can find the target state with certainty only if searching one out of four. Designing the deterministic search algorithm can avoid any repetition of the…

量子物理 · 物理学 2025-01-14 Zhen Wang , Kun Zhang , Vladimir Korepin

According to the theoretical results, the quantum searching algorithm can be generalized by replacing the Walsh-Hadamard(W-H) transform by almost any quantum mechanical operation. We have implemented the generalized algorithm using nuclear…

量子物理 · 物理学 2009-11-07 Jingfu Zhang , Zhiheng Lu , Lu Shan , Zhiwei Deng

Numerous conceptually important quantum algorithms rely on a black-box device known as an oracle, which is typically difficult to construct without knowing the answer to the problem that the algorithm is intended to solve. A notable example…

We detail a quantum circuit capable of efficiently encoding analytical approximations to gravitational wave signal waveforms of compact binary coalescences into the amplitudes of quantum bits using both quantum arithmetic operations and…

量子物理 · 物理学 2023-06-21 Fergus Hayes , Sarah Croke , Chris Messenger , Fiona Speirits

We propose the use of phonon$\unicode{x2013}$mediated interactions as an entanglement resource to engineer Einstein$\unicode{x2013}$Podolsky$\unicode{x2013}$Rosen (EPR) correlations and to perform teleportation of collective spin states in…

The execution of Grover's quantum search algorithm needs rather limited resources without much fine tuning. Consequently, the algorithm can be implemented in a variety of physical set-ups, which involve wave dynamics but may not need other…

量子物理 · 物理学 2021-07-08 Apoorva D. Patel

We investigate the generation of quantum states and unitary operations that are ``random'' in certain respects. We show how to use such states to estimate the average fidelity, an important measure in the study of implementations of quantum…

量子物理 · 物理学 2007-05-23 Christoph Dankert

We realize the probabilistic cloning and identifying linear independent quantum states of multi-particles system, given prior probability, with universal quantum logic gates using the method of unitary representation. Our result is…

量子物理 · 物理学 2007-05-23 Chuan-Wei Zhang , Chuan-Feng Li , Guang-Can Guo

We introduce schemes for linear-optical quantum state generation. A quantum state generator is a device that prepares a desired quantum state using product inputs from photon sources, linear-optical networks, and postselection using photon…

量子物理 · 物理学 2009-11-13 N. M. VanMeter , P. Lougovski , D. B. Uskov , K. Kieling , J. Eisert , Jonathan P. Dowling

Some of the secret sharing schemes having unique quantum features like parallelism and entanglement are supposed to be relatively secure. Different schemes proposed by various researchers over the years have features which could be specific…

量子物理 · 物理学 2007-07-10 Arti Chamoli , C. M. Bhandari

Search-base algorithms have widespread applications in different scenarios. Grover's quantum search algorithms and its generalization, amplitude amplification, provide a quadratic speedup over classical search algorithms for unstructured…

量子物理 · 物理学 2020-09-21 Xiaoyu He , Jialin Zhang , Xiaoming Sun

In this work, we consider a family of sure-success quantum algorithms, which is grouped into even and odd members for solving a generalized Grover search problem. We prove the matching conditions for both groups and give the corresponding…

量子物理 · 物理学 2007-05-23 Jin-Yuan Hsieh , Che-Ming Li , Jenn-Sen Lin , Der-San Chuu