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Entanglement is one of the fundamental properties of a quantum state and is a crucial differentiator between classical and quantum computation. There are many ways to define entanglement and its measure, depending on the problem or…

Experimental NMR implementations of the Deutsch-Josza quantum algorithm based on pesudo-pure spin states exhibit an exponential sensitivity scaling with the number of qubits. By employing truly mixed spin states in spin Liouville space,…

量子物理 · 物理学 2016-08-15 F. M. Woodward , R. Brüschweiler

We generalize the Deutsch-Jozsa problem and present a quantum algorithm that can solve the generalized Deutsch-Jozsa problem by a single evaluation of a given function. We discuss the initialization of an auxiliary register and present a…

量子物理 · 物理学 2007-05-23 Dong Pyo Chi , Jinsoo Kim , Soojoon Lee

In this work, we have been working on the concept of quantum entanglement. At first, we studied the theory of entanglement in its characterization and measurement, introducing a new scheme for detection of entanglement. The new approach…

量子物理 · 物理学 2007-05-23 Robabeh Rahimi

Entanglement plays a crucial role in quantum processes particularly those pertaining to quantum information and computation. An analytical expression for an entanglement measure defined in terms of success rate of Grover's search algorithm…

量子物理 · 物理学 2007-05-23 Arti Chamoli , C. M. Bhandari

Determining whether a quantum state is separable or entangled is a problem of fundamental importance in quantum information science. It has recently been shown that this problem is NP-hard. There is a highly inefficient `basic algorithm'…

量子物理 · 物理学 2009-11-10 L. M. Ioannou , B. C. Travaglione , D. Cheung , A. K. Ekert

That superpositions of states can be useful for performing tasks in quantum systems has been known since the early days of quantum information, but only recently has quantitative theory of quantum coherence been proposed. Here we apply that…

量子物理 · 物理学 2016-02-16 Mark Hillery

Quantum computing using two-dimensional NMR has recently been described using scalar coupling evolution technique [J. Chem. Phys.,109,10603 (1998)]. In the present paper, we describe two-dimensional NMR quantum computing with the help of…

量子物理 · 物理学 2007-05-23 T. S. Mahesh , Kavita Dorai , Arvind , Anil Kumar

Recently, [{arXiv:0810.3134}] is accepted and published. We show that the Bell inequalities lead to a new type of linear-optical Deutsch algorithms. We have considered a use of entangled photon pairs to determine simultaneously and…

量子物理 · 物理学 2008-11-28 Koji Nagata , Sangkyung Lee , Jaewook Ahn

We describe the first experimental realization of the Deutsch-Jozsa quantum algorithm to evaluate the properties of a 2-bit boolean function in the framework of one-way quantum computation. For this purpose a novel two-photon six-qubit…

量子物理 · 物理学 2010-07-08 Giuseppe Vallone , Gaia Donati , Natalia Bruno , Andrea Chiuri , Paolo Mataloni

We analyze possible implementations of quantum algorithms in a system of (macroscopic) Josephson charge qubits. System layout and parameters to realize the Deutsch algorithm with up to three qubits are provided. Special attention is paid to…

介观与纳米尺度物理 · 物理学 2009-11-07 Jens Siewert , Rosario Fazio

In this study, we introduce an autonomous method for addressing the detection and classification of quantum entanglement, a core element of quantum mechanics that has yet to be fully understood. We employ a multi-layer perceptron to…

量子物理 · 物理学 2024-10-21 Julio Ureña , Antonio Sojo , Juani Bermejo , Daniel Manzano

Graph states represent a significant class of multi-partite entangled quantum states with applications in quantum error correction, quantum communication, and quantum computation. In this work, we introduce a novel formalism called the…

量子物理 · 物理学 2025-07-16 Sameer Sharma

When two or more subsystems of a quantum system interact with each other they can become entangled. In this case the individual subsystems can no longer be described as pure quantum states. For systems with only 2 subsystems this…

量子物理 · 物理学 2007-05-23 Rachel Parker , Chris Doran

Quantum entanglement is a foundational resource in quantum information science, underpinning applications across physics. However, detecting and quantifying entanglement remains a significant challenge. In this article, we introduce a…

We introduce an experimental procedure for the detection of quantum entanglement of an unknown quantum state with as few measurements as possible. The method requires neither a priori knowledge of the state nor a shared reference frame…

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…

量子物理 · 物理学 2009-11-11 Dan Kenigsberg , Tal Mor , Gil Ratsaby

We report an experimental demonstration of quantum Deutsch's algorithm by using linear-optical system. By employing photon's polarization and spatial modes, we implement all balanced and constant functions for quantum computer. The…

量子物理 · 物理学 2011-05-18 Pei Zhang , Rui-Feng Liu , Yun-Feng Huang , Hong Gao , Fu-Li Li

In this paper, we study the nature of entanglement in quantum Grover's and Shor's algorithms. So far, the authors who have been interested in this problem have approached the question quantitatively by introducing entanglement measures…

量子物理 · 物理学 2019-03-25 Hamza Jaffali , Frédéric Holweck

Quantum algorithms on near-term quantum processors are typically executed using shallow quantum circuits composed of one- and two-qubit gates. However, as circuit depth and gate number increase, gate imperfections and qubit decoherence…