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The efficient encoding of the fermionic Schr\"odinger equation as a spin system Hamiltonian is a long-term problem. I describe an encoding for the fermionic position space Schr\"odinger equation on a finite-volume periodic lattice with a…

量子物理 · 物理学 2023-10-13 Kenneth S. McElvain

Quantum computing represents a central challenge in modern science. Neutral atoms in optical lattices have emerged as a leading computing platform, with collisional gates offering a stable mechanism for quantum logic. However, previous…

In condensed matter, it is often difficult to untangle the effects of competing interactions, and this is especially problematic for superconductors. Quantum simulators may help: here we show how exploiting the properties of highly excited…

超导电性 · 物理学 2012-11-30 J. P. Hague , C. MacCormick

A potential approach for demonstrating quantum advantage is using quantum computers to simulate fermionic systems. Quantum algorithms for fermionic system simulation usually involve the Hamiltonian evolution and measurements. However, in…

量子物理 · 物理学 2025-05-14 Qing-Song Li , Jiaxuan Zhang , Huan-Yu Liu , Qingchun Wang , Yu-Chun Wu , Guo-Ping Guo

Ultracold atoms in optical lattices are an important platform for quantum information science, lending itself naturally to quantum simulation of many-body physics and providing a possible path towards a scalable quantum computer. To realize…

量子物理 · 物理学 2015-06-16 Jae Hoon Lee , Enrique Montano , Ivan H. Deutsch , Poul S. Jessen

Topological superfluids are of technological relevance since they are believed to host Majorana bound states, a powerful resource for quantum computation and memory. Here we propose to realize topological superfluidity with fermionic atoms…

量子气体 · 物理学 2017-10-10 L. Isaev , A. Kaufman , G. Ortiz , A. M. Rey

Bosonic quantum systems operate in an infinite-dimensional Hilbert space, unlike discrete-variable quantum systems. This distinct mathematical structure leads to fundamental differences in quantum information processing, such as an…

量子物理 · 物理学 2025-09-05 Varun Upreti , Dorian Rudolph , Ulysse Chabaud

The availability of working quantum computers has led to several proposals and claims of quantum advantage. In 2023, this has included claims that quantum computers can successfully factor large integers, by optimizing the search for nearby…

量子物理 · 物理学 2023-08-16 Willie Aboumrad , Dominic Widdows , Ananth Kaushik

Quantum computers can be used to address molecular structure, materials science and condensed matter physics problems, which currently stretch the limits of existing high-performance computing resources. Finding exact numerical solutions to…

Number-conserved subspace encoding reduces resources needed for quantum simulations, but scalable complexity trade-off bounds for $M$ modes and $N$ particles with $\mathcal{O}(N\log M)$ qubits have remained unknown. We study…

量子物理 · 物理学 2025-09-23 M. H. Cheng , Yu-Cheng Chen , Qian Wang , V. Bartsch , M. S. Kim , Alice Hu , Min-Hsiu Hsieh

The study of superfluid fermion pairs in a periodic potential has important ramifications for understanding superconductivity in crystalline materials. Using cold atomic gases, various condensed matter models can be studied in a highly…

其他凝聚态物理 · 物理学 2009-11-11 J. K. Chin , D. E. Miller , Y. Liu , C. Stan , W. Setiawan , C. Sanner , K. Xu , W. Ketterle

Quantum computers are the ideal platform for quantum simulations. Given enough coherent operations and qubits, such machines can be leveraged to simulate strongly correlated materials, where intricate quantum effects give rise to…

量子物理 · 物理学 2016-12-14 Pierre-Luc Dallaire-Demers , Frank K. Wilhelm

We demonstrate that a site-dependent driving of a periodic potential allows for the controlled manipulation of a quantum particle on length scales of the lattice spacing. Specifically we observe for distinct driving frequencies a near…

量子物理 · 物理学 2015-05-20 Thomas Wulf , Benno Liebchen , Peter Schmelcher

The manipulation of neutral atoms by light is at the heart of countless scientific discoveries in the field of quantum physics in the last three decades. The level of control that has been achieved at the single particle level within arrays…

Noise in a quantum system is fundamentally governed by the statistics and the many-body state of the underlying particles. Whereas for bosonic particles the correlated noise observed for e.g. photons or bosonic neutral atoms can still be…

其他凝聚态物理 · 物理学 2010-04-06 T. Rom , Th. Best , D. van Oosten , U. Schneider , S. Foelling , B. Paredes , I. Bloch

We investigate the simulation of fermionic systems on a quantum computer. We show in detail how quantum computers avoid the dynamical sign problem present in classical simulations of these systems, therefore reducing a problem believed to…

凝聚态物理 · 物理学 2009-02-05 G. Ortiz , J. E. Gubernatis , E. Knill , R. Laflamme

We consider a cloud of fermionic atoms in an optical lattice described by a Hubbard model with an additional linear potential. While homogeneous interacting systems mainly show damped Bloch oscillations and heating, a finite cloud behaves…

量子气体 · 物理学 2011-07-01 Stephan Mandt , Akos Rapp , Achim Rosch

Quantum computing is emerging as a promising tool in nuclear physics. However, the cost of encoding fermionic operators hampers the application of algorithms in current noisy quantum devices. In this work, we analyze an encoding scheme…

We illustrate that open quantum systems composed of neutral, ultracold atoms in one-dimensional optical lattices can exhibit behavior analogous to semiconductor electronic circuits. A correspondence is demonstrated for bosonic atoms, and…

原子物理 · 物理学 2009-09-04 R. A. Pepino , J. Cooper , D. Z. Anderson , M. J. Holland