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Simulating fermionic systems on a quantum computer requires a high-performing mapping of fermionic states to qubits. A characteristic of an efficient mapping is its ability to translate local fermionic interactions into local qubit…

量子物理 · 物理学 2023-10-25 Mitchell Chiew , Sergii Strelchuk

All matter is made up of fermions -- one of the fundamental type of particles in nature. Fermions follow the Pauli exclusion principle, stating that two or more identical fermions cannot occupy the same quantum state. Antisymmetry of the…

量子物理 · 物理学 2023-07-26 Lucas Hackl , Dayang Li , Nika Akopian , Matthias Christandl

Fermionic atoms in two different hyperfine states confined in optical lattices show strong commensurability effects due to the interplay between the atomic density wave (ADW) ordering and the lattice potential. We show that spatially…

强关联电子 · 物理学 2009-11-13 Rafael A. Molina , Jorge Dukelsky , Peter Schmitteckert

Fermionic atoms in optical lattices provide a native implementation of Fermi-Hubbard (FH) models that can be used as analog quantum simulators of many-body fermionic systems. Recent experimental advances include the time-dependent local…

We show how it is possible to realize quantum computations on a system in which most of the parameters are practically unknown. We illustrate our results with a novel implementation of a quantum computer by means of bosonic atoms in an…

量子物理 · 物理学 2007-05-23 J. J. Garcia-Ripoll , J. I. Cirac

We show that quantum number preserving Ans\"{a}tze for variational optimization in quantum chemistry find an elegant mapping to ultracold fermions in optical superlattices. Using native Hubbard dynamics, trial ground states of molecular…

量子气体 · 物理学 2025-02-26 Fotios Gkritsis , Daniel Dux , Jin Zhang , Naman Jain , Christian Gogolin , Philipp M. Preiss

We discuss the theory of mixtures of Bosonic and Fermionic atoms in periodic potentials at zero temperature. We derive a general Bose--Fermi Hubbard Hamiltonian in a one--dimensional optical lattice with a superimposed harmonic trapping…

凝聚态物理 · 物理学 2007-05-23 Alexander Albus , Fabrizio Illuminati , Jens Eisert

We show how to perform universal quantum computation with atoms confined in optical lattices which works both in the presence of defects and without individual addressing. The method is based on using the defects in the lattice, wherever…

量子物理 · 物理学 2009-11-10 K. G. H. Vollbrecht , E. Solano , J. I. Cirac

We design a quantum battery made up of bosons or fermions in an ultracold-atom setup, described by Fermi-Hubbard and Bose-Hubbard models, respectively. We compare the performance of bosons and fermions to determine which can function as a…

量子气体 · 物理学 2022-09-16 Tanoy Kanti Konar , Leela Ganesh Chandra Lakkaraju , Srijon Ghosh , Aditi Sen De

Simulating the real-time dynamics of lattice gauge theories, underlying the Standard Model of particle physics, is a notoriously difficult problem where quantum simulators can provide a practical advantage over classical approaches. In this…

量子物理 · 物理学 2023-10-18 Torsten V. Zache , Daniel González-Cuadra , Peter Zoller

Here, we propose a platform based on ultra-cold fermionic molecules trapped in optical lattices to simulate nonadiabatic effects, as they appear in certain molecular dynamical problems. The idea consists of a judicious choice of two…

量子气体 · 物理学 2025-09-25 Javier Argüello-Luengo , Alejandro González-Tudela , J. Ignacio Cirac

We propose a scheme for quantum computation in optical lattices. The qubits are encoded in the spacial wavefunction of the atoms such that spin decoherence does not influence the computation. Quantum operations are steered by shaking the…

量子气体 · 物理学 2012-05-22 Philipp-Immanuel Schneider , Alejandro Saenz

We propose two schemes for cooling bosonic and fermionic atoms that are trapped in a deep optical lattice. The first scheme is a quantum algorithm based on particle number filtering and state dependent lattice shifts. The second protocol…

统计力学 · 物理学 2007-05-23 M. Popp , J. J. Garcia-Ripoll , K. G. H. Vollbrecht , J. I. Cirac

It is shown that the interplay of a confining potential with a periodic potential leads for free particles to states spatially confined on a fraction of the total extension of the system. A more complex `slicing' of the system can be…

统计力学 · 物理学 2016-08-31 Marcos Rigol , Alejandro Muramatsu

We examine a quantum Otto engine with a harmonic working medium consisting of two particles to explore the use of wave function symmetry as an accessible resource. It is shown that the bosonic system displays enhanced performance when…

统计力学 · 物理学 2020-01-28 Nathan M. Myers , Sebastian Deffner

Several proposals for quantum computation utilize a lattice type architecture with qubits trapped by a periodic potential. For systems undergoing many body interactions described by the Bose-Hubbard Hamiltonian, the ground state of the…

量子物理 · 物理学 2015-06-26 Guido Pupillo , Ana Maria Rey , Gavin Brennen , Carl J. Williams , Charles W. Clark

The mapping of photonic states to collective excitations of atomic ensembles is a powerful tool which finds a useful application in the realization of quantum memories and quantum repeaters. In this work we show that cold atoms in optical…

量子物理 · 物理学 2013-05-29 Christine A. Muschik , Ines de Vega , Diego Porras , J. Ignacio Cirac

Quantum chemistry simulations on a quantum computer suffer from the overhead needed for encoding the fermionic problem in a bosonic system of qubits. By exploiting the block diagonality of a fermionic Hamiltonian, we show that the number of…

量子物理 · 物理学 2016-06-09 Nikolaj Moll , Andreas Fuhrer , Peter Staar , Ivano Tavernelli

We analyse an implementation of a quantum computer using bosonic atoms in an optical lattice. We show that, even though the number of atoms per site and the tunneling rate between neighbouring sites is unknown, one may perform a universal…

量子物理 · 物理学 2015-06-26 J. J. Garcia-Ripoll , J. I. Cirac

Quantum simulations of electronic structure and strongly correlated quantum phases are widely regarded as among the most promising applications of quantum computing. These computations naturally benefit from native fermionic encodings,…