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A continuous, analog version of the Grover algorithm is realized using NMR. The system studied is 23Na in a liquid crystal medium. The presence of quadrupolar coupling makes the spin I=3/2 nucleus a 2-qubit system. Applying a specially…

Quantum Physics · Physics 2009-11-07 Vladimir L. Ermakov , B. M. Fung

There has been an extensive development in the use of multi-partite entanglement as a resource for various quantum information processing tasks. In this paper we focus on preparing arbitrary spin eigenstates whose subset contain important…

Quantum Physics · Physics 2020-08-18 Amritesh Sharma , Ashwin A. Tulapurkar

We introduce a structured quantum search algorithm that leverages entanglement maps and a fixed-point method to minimize oracle query complexity in unsorted datasets. By partitioning qubits into rows based on their entanglement order, the…

Quantum Physics · Physics 2025-07-22 Yash Prabhat , Snigdha Thakur , Ankur Raina

In this paper we propose a fast algorithm for trivariate interpolation, which is based on the partition of unity method for constructing a global interpolant by blending local radial basis function interpolants and using locally supported…

Numerical Analysis · Mathematics 2015-10-20 Roberto Cavoretto , Alessandra De Rossi

Interfacing photonic and solid-state qubits within a hybrid quantum architecture offers a promising route towards large scale distributed quantum computing. Ideal candidates for coherent qubit interconversion are optically active spins…

Quantum Physics · Physics 2013-04-17 S. Probst , H. Rotzinger , S. Wünsch , P. Jung , M. Jerger , M. Siegel , A. V. Ustinov , P. A. Bushev

The four-point integral of the minimal super Liouville gravity on the sphere is evaluated numerically. The integration procedure is based on the effective elliptic parameterization of the moduli space. The analysis is performed for a few…

High Energy Physics - Theory · Physics 2009-11-19 V. A. Belavin

We propose and analyze a new method for manipulation of a heavy hole spin in a quantum dot. Due to spin-orbit coupling between states with different orbital momenta and opposite spin orientations, an applied rf electric field induces…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Denis V. Bulaev , Daniel Loss

We propose to encode a register of quantum bits in different collective electron spin wave excitations in a solid medium. Coupling to spins is enabled by locating them in the vicinity of a superconducting transmission line cavity, and…

We present a Dicke state preparation scheme which uses global control of $N$ spin qubits: our scheme is based on the standard phase estimation algorithm, which estimates the eigenvalue of a unitary operator. The scheme prepares a Dicke…

Quantum Physics · Physics 2021-09-13 Yang Wang , Barbara M. Terhal

For applications of solid state quantum computing and quantum simulations, high fidelity initialisation of thermally mixed electronic and nuclear spin qubits is essential. Whereas electronic spins can readily be initialised optically to…

Quantum Physics · Physics 2024-04-12 O. T. Whaites , T. S. Monteiro

We propose a scheme to implement two-qubit Grover's quantum search algorithm using Cavity Quantum Electrodynamics. Circular Rydberg atoms are used as quantum bits (qubits). They interact with the electromagnetic field of a non-resonant…

Quantum Physics · Physics 2009-11-07 F. Yamaguchi , P. Milman , M. Brune , J. M. Raimond , S. Haroche

We demonstrate a new method for electrical manipulation of nuclear spins utilizing dynamic nuclear polarization induced by quantum Hall effect breakdown. Nuclear spins are polarized and detected through the hyperfine interaction between a…

Mesoscale and Nanoscale Physics · Physics 2009-04-17 Minoru Kawamura , Hiroyuki Takahashi , Yoshiaki Hashimoto , Shingo Katsumoto , Tomoki Machida

The realisation of quantum computers based on molecular electronic spins requires the design of qubits with very long coherence times, T2. Dephasing can proceed over several different microscopic pathways, active at the same time and in…

Materials Science · Physics 2020-01-08 Alessandro Lunghi , Stefano Sanvito

Quantum spatial search has been widely studied with most of the study focusing on quantum walk algorithms. We show that quantum walk algorithms are extremely sensitive to systematic errors. We present a recursive algorithm which offers…

Quantum Physics · Physics 2016-02-15 Avatar Tulsi

Matched filtering is a common method for detecting gravitational waves. However, the computational costs of searching large template banks limit the efficiency of classical algorithms when searching for massive black hole binary (MBHB)…

Instrumentation and Methods for Astrophysics · Physics 2025-10-20 Fangzhou Guo , Jibo He

A quantum algorithm for general combinatorial search that uses the underlying structure of the search space to increase the probability of finding a solution is presented. This algorithm shows how coherent quantum systems can be matched to…

Quantum Physics · Physics 2009-10-30 Tad Hogg

A model of a relativistic particle moving in the Liouville field is investigated. Symmetry group of the system is $SL(2,R)/Z_2$. The corresponding dynamical integrals describe full set of classical trajectories. Dynamical integrals are used…

High Energy Physics - Theory · Physics 2007-05-23 George Jorjadze , Wlodzimierz Piechocki

An experiment demonstrating the quantum simulation of a spin-lattice Hamiltonian is proposed. Dipolar interactions between nuclear spins in a solid state lattice can be modulated by rapid radio-frequency pulses. In this way, the effective…

Quantum Physics · Physics 2007-05-23 Georgios Roumpos , Cyrus P. Master , Yoshihisa Yamamoto

Quantum computers have the potential to speed up certain problems that are hard for classical computers. Hybrid systems, such as the nitrogen vacancy (NV) center in diamond, are among the most promising systems to implement quantum…

Quantum Physics · Physics 2020-07-22 Jingfu Zhang , Swathi S. Hegde , Dieter Suter

We propose the use of dipolar spin chains to enable long-range quantum logic between distant qubits. In our approach, an effective interaction between remote qubits is achieved by adiabatically following the ground state of the dipolar…

Quantum Physics · Physics 2012-04-11 Hendrik Weimer , Norman Y. Yao , Chris R. Laumann , Mikhail D. Lukin
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