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Recently, a new path integral formulation of Loop Quantum Gravity (LQG) has been derived in arXiv:1910.03763 from the reduced phase space formulation of the canonical LQG. This paper focuses on the semiclassical analysis of this path…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Muxin Han , Hongguang Liu

In this work, we present a new algorithm for generating quantum circuits that efficiently implement continuous time quantum walks on arbitrary simple sparse graphs. The algorithm, called matching decomposition, works by decomposing a…

Quantum Physics · Physics 2026-01-19 Mostafa Atallah , Alvin Gonzales , Daniel Dilley , Igor Gaidai , Zain H. Saleem , Rebekah Herrman

We propose a scalable quantum-computing architecture based on cold atoms confined to sites of a tight optical lattice. The lattice is placed in a non-uniform magnetic field and the resulting Zeeman sublevels define qubit states. Microwave…

Quantum Physics · Physics 2009-11-10 Andrei Derevianko , Caleb C. Cannon

We propose a mechanism of long-range coherent coupling between nuclear spins to be used as qubits in solid-state semiconductor-heterojunction quantum information processing devices. The coupling is via localized donor electrons which in…

Mesoscale and Nanoscale Physics · Physics 2010-09-22 Dima Mozyrsky , Vladimir Privman , M. Lawrence Glasser

In computer simulations, quantum delocalization of atomic nuclei can be modeled making use of the Path Integral (PI) formulation of quantum statistical mechanics. This approach, however, comes with a large computational cost. By restricting…

Statistical Mechanics · Physics 2015-04-13 Karsten Kreis , Mark E. Tuckerman , Davide Donadio , Kurt Kremer , Raffaello Potestio

By leveraging quantum-mechanical properties like superposition, entanglement, and interference, quantum computing (QC) offers promising solutions for problems that classical computing has not been able to solve efficiently, such as drug…

Human-Computer Interaction · Computer Science 2025-02-14 Hyeok Kim , Mingyoung J. Jeng , Kaitlin N. Smith

The possibility of extending the canonical formulation of quantum mechanics (QM) to a space-time symmetric form has recently attracted wide interest. In this context, a recent proposal has shown that a spacetime symmetric many-body…

Quantum Physics · Physics 2025-05-21 N. L. Diaz , J. M. Matera , R. Rossignoli

Digital quantum simulation offers a promising route for studying quantum dynamics, but efficient operator representations and circuit depth remain key challenges for near-term hardware. We investigate one-dimensional wave packet dynamics…

We study experimentally demonstrated single-electron ${}^{12}$C CNT QD with significant spin-orbit interaction as a scalable quantum computer candidate. Both electron spin and orbital angular momentum can serve as a logical qubit for…

Quantum Physics · Physics 2009-12-21 Magdalena Stobińska , Gerard J. Milburn , Leszek Stobiński

The computation of excited states in strongly interacting quantum many-body systems is of fundamental importance. Yet, it is notoriously challenging due to the exponential scaling of the Hilbert space dimension with the system size. Here,…

Quantum Physics · Physics 2025-06-11 Yixuan Ma , Chang Liu , Weikang Li , Shun-Yao Zhang , L. -M. Duan , Yukai Wu , Dong-Ling Deng

Electrical resonators are widely used in quantum information processing, by engineering an electromagnetic interaction with qubits based on real or virtual exchange of microwave photons. This interaction relies on strong coupling between…

Quantum Physics · Physics 2013-06-26 Andrew J. Kerman

Recent developments in the coherent manipulation of electrons in ballistic conductors include the generation of time-periodic electrical currents involving one to few electronic excitations per period. However, using individual electrons as…

Mesoscale and Nanoscale Physics · Physics 2021-05-12 Benjamin Roussel , Clément Cabart , Gwendal Fève , Pascal Degiovanni

Molecular dynamics simulations of 3C-SiC have been performed as a function of pressure and temperature. These simulations treat both electrons and atomic nuclei by quantum mechanical methods. While the electronic structure of the solid is…

Materials Science · Physics 2009-11-13 Rafael Ramirez , Carlos P. Herrero , Eduardo R. Hernandez , Manuel Cardona

The real world obeys quantum physics and quantum computing presents an alternative way to map physical problems to systems that follow the same laws. Such computation fundamentally constitutes a better way to understand the most challenging…

Quantum Physics · Physics 2024-11-22 Elena Chachkarova , Terence Tse , Yordan Yordanov , Yao Wei , Cedric Weber

We propose a new design for a quantum information processor where qubits are encoded into Hyperfine states of ions held in a linear array of individually tailored microtraps and sitting in a spatially varying magnetic field. The magnetic…

Quantum Physics · Physics 2013-05-29 D. Mc Hugh , J. Twamley

Quantum algorithms for selecting a subspace of Hamiltonians to diagonalize have emerged as a promising alternative to variational algorithms in the NISQ era. So far, such algorithms, which include the quantum selected configuration…

Quantum computing (QC) provides a promising avenue toward enabling quantum chemistry calculations, which are classically impossible due to a computational complexity that increases exponentially with system size. As fully fault-tolerant…

The random walk formalism is used across a wide range of applications, from modelling share prices to predicting population genetics. Likewise quantum walks have shown much potential as a frame- work for developing new quantum algorithms.…

Trapped ions are an ideal platform to implement quantum simulation. Previously the parity-time reversal ($\mathcal{PT}$) symmetry-breaking transition in the paradigmatic non-Hermitian Hamiltonian $h_{PT}=J\sigma_x-i\Gamma\sigma_z$ has been…

Quantum Gases · Physics 2024-10-29 Zhenxin Hu , Zhenhua Yu

We report on the implementation of a quantum process tomography (QPT) technique known as direct characterization of quantum dynamics (DCQD) applied on coherent and incoherent single- qubit processes in a system of trapped calcium 40 ions.…

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