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We offer an improved method for using a nuclear-magnetic-resonance quantum computer (NMRQC) to solve the Deutsch-Jozsa problem. Two known obstacles to the application of the NMRQC are exponential diminishment of density-matrix elements with…

量子物理 · 物理学 2009-11-06 John M. Myers , A. F. Fahmy , S. J. Glaser , R. Marx

The Deutsch-Jozsa algorithm distinguishes constant functions from balanced functions with a single evaluation. In the first part of this work, we present simulations of the nuclear magnetic resonance (NMR) application of the Deutsch-Jozsa…

量子物理 · 物理学 2009-11-10 Vladimir L. Ermakov , B. M. Fung

We implemented the refined Deutsch-Jozsa algorithm on a 3-bit nuclear magnetic resonance quantum computer, which is the meaningful test of quantum parallelism because qubits are entangled. All of the balanced and constant functions were…

量子物理 · 物理学 2009-10-31 Jaehyun Kim , Jae-Seung Lee , Soonchil Lee , Chaejoon Cheong

A new approach to the implementation of a quantum computer by high-resolution nuclear magnetic resonance (NMR) is described. The key feature is that two or more line-selective radio-frequency pulses are applied simultaneously. A three-qubit…

量子物理 · 物理学 2007-05-23 N Linden H Barjat R Freeman

We demonstrate the first implementation of a quantum algorithm on a liquid state nuclear magnetic resonance (NMR) quantum computer using almost pure states. This was achieved using a two qubit device where the initial state is an almost…

量子物理 · 物理学 2007-05-23 M. S. Anwar , J. A. Jones , D. Blazina , S. B. Duckett , H. A. Carteret

Nuclear magnetic resonance (NMR) has been widely used as a demonstrative medium for showcasing the ability for quantum computations to outperform classical ones. A large number of such experiments performed have been implementations of the…

新兴技术 · 计算机科学 2015-03-19 Alastair A. Abbott , Matthias Bechmann , Cristian S. Calude , Angelika Sebald

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 demonstrate how a single heat exchange between a probe thermal qubit and multi-qubit thermal machine encoding a Boolean function, can determine whether the function is balanced or constant, thus providing a novel thermodynamic solution…

量子物理 · 物理学 2026-01-21 Jake Xuereb

We describe the experimental implementation of a recently proposed quantum algorithm involving quantum entanglement at the level of two qubits using NMR. The algorithm solves a generalisation of the Deutsch problem and distinguishes between…

量子物理 · 物理学 2009-11-06 Kavita Dorai , Arvind , Anil Kumar

A scheme to execute an n-bit Deutsch-Jozsa (D-J) algorithm using n qubits has been implemented for up to three qubits on an NMR quantum computer. For the one and two bit Deutsch problem, the qubits do not get entangled, hence the NMR…

量子物理 · 物理学 2015-06-26 Arvind , Kavita Dorai , Anil Kumar

We describe a general framework for regarding oracle-assisted quantum algorithms as tools for discriminating between unitary transformations. We apply this to the Deutsch-Jozsa problem and derive all possible quantum algorithms which solve…

量子物理 · 物理学 2010-08-10 David Collins

Nature is governed by precise physical laws, which can inspire the discovery of new computer-run simulation algorithms. Thermal states are the most ubiquitous for they are the equilibrium states of matter. Simulating thermal states of…

量子物理 · 物理学 2023-04-13 Oles Shtanko , Ramis Movassagh

We address the question of how a quantum computer can be used to simulate experiments on quantum systems in thermal equilibrium. We present two approaches for the preparation of the equilibrium state on a quantum computer. For both…

量子物理 · 物理学 2009-10-31 Barbara M. Terhal , David P. DiVincenzo

In the discussion about the quantumness of NMR computation a conclusion is done that computational states are separable and therefore can not be entangled. This conclusion is based on the assumption that the initial density matrix of an…

量子物理 · 物理学 2007-05-23 Alexander R. Kessel , Vladimir L. Ermakov

Simulating the nonequilibrium dynamics of thermal states is a fundamental problem across scales from high energy to condensed matter physics. Quantum computers may provide a way to solve this problem efficiently. Preparing a thermal state…

量子物理 · 物理学 2023-11-03 Jason Saroni , Henry Lamm , Peter P. Orth , Thomas Iadecola

An NMR realization of a two-qubit quantum gate which processes quantum information indirectly via couplings to a spectator qubit is presented in the context of the Deutsch-Jozsa algorithm. This enables a successful comprehensive NMR…

量子物理 · 物理学 2009-10-31 David Collins , K. W. Kim , W. C. Holton , H. Sierzputowska-Gracz , E. O. Stejskal

One-way quantum computing is an important and novel approach to quantum computation. By exploiting the existing particle-particle interactions, we report the first experimental realization of the complete process of deterministic one-way…

量子物理 · 物理学 2010-01-14 Chenyong Ju , Jing Zhu , Xinhua Peng , Bo Chong , Xianyi Zhou , Jiangfeng Du

We describe a quantum algorithm to compute the density of states and thermal equilibrium properties of quantum many-body systems. We present results obtained by running this algorithm on a software implementation of a 21-qubit quantum…

量子物理 · 物理学 2007-05-23 H. De Raedt , A. H. Hams , K. Michielsen , S. Miyashita , K. Saito

Temperature estimation, known as thermometry, is a critical sensing task for physical systems operating in the quantum regime. Indeed, thermal fluctuations can significantly degrade quantum coherence. Therefore, accurately determining the…

Physical implementation of Quantum Information Processing (QIP) by liquid-state Nuclear Magnetic Resonance (NMR), using weakly coupled spin-1/2 nuclei of a molecule, is well established. Nuclei with spin$>$1/2 oriented in liquid crystalline…

量子物理 · 物理学 2009-11-10 Ranabir Das , Anil Kumar
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