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We consider a family of tensor network states defined on regular lattices that come with a natural definition of an adiabatic path to prepare them. This family comprises relevant classes of states, such as injective Matrix Product and…

Quantum Physics · Physics 2022-06-23 Esther Cruz , Flavio Baccari , Jordi Tura , Norbert Schuch , J. Ignacio Cirac

We analyze a technique for the preparation of low entropy many body states of atoms in optical lattices based on adiabatic passage. In particular, we show that this method allows preparation of strongly correlated states as stable highest…

The preparation of non-trivial states is crucial to the study of quantum many-body physics. Such states can be prepared with adiabatic quantum algorithms, which are restricted by the minimum spectral gap along the path. In this letter, we…

Quantum Physics · Physics 2025-10-03 Kshiti Sneh Rai , Jin-Fu Chen , Patrick Emonts , Jordi Tura

A variety of quantum computing algorithms exist for the preparation of approximate Hamiltonian ground states. A natural and important question is how these ground-state approximations can be further improved using adiabatic state…

Quantum computers attract much attention as they promise to outperform their classical counterparts in solving certain type of problems. One of them with practical applications in quantum chemistry is simulation of complex quantum systems.…

Quantum Physics · Physics 2014-07-08 Libor Veis , Jiří Pittner

Affleck-Kennedy-Lieb-Tasaki (AKLT) states are an important class of many-body quantum states that are useful in quantum information processing, including measurement-based quantum computation in particular. Here we propose a general…

Quantum Physics · Physics 2023-03-08 Tianyi Chen , Yunting Li , Huangjun Zhu

We analyze a scheme for preparation of magnetically ordered states of two-component bosonic atoms in optical lattices. We compute the dynamics during adiabatic and optimized time-dependent ramps to produce ground states of effective spin…

The ground state of the spin-1 Affleck, Kennedy, Lieb and Tasaki (AKLT) model is a paradigmatic example of both a matrix product state and a symmetry-protected topological phase, and additionally holds promise as a resource state for…

Quantum Physics · Physics 2025-04-01 Kevin C. Smith , Eleanor Crane , Nathan Wiebe , S. M. Girvin

The implementation of static artificial magnetic fields in ultracold atomic systems has become a powerful tool, e.g. for simulating quantum-Hall physics with charge-neutral atoms. Taking an interacting bosonic flux ladder as a minimal…

Quantum Gases · Physics 2021-07-07 Botao Wang , Xiao-Yu Dong , F. Nur Ünal , André Eckardt

Recently, the technique of counterdiabatic driving, which provides an effective strategy for accelerating adiabatic quantum evolution, has been widely applied in the preparation of many-body quantum states. In this work, we propose a…

Quantum Physics · Physics 2026-05-15 Fengzhe Tang , Gangcheng Wang

Multi-squeezed states, also known as generalized squeezed states, are valuable quantum non-Gaussian resources, because they can feature non-classical properties such as large phase-space Wigner negativities. In this work, we introduce a…

Quantum Physics · Physics 2024-05-27 Chuan Chen , Jian-Yu Lu , Xu-Yang Chen , Zhen-Yu Wang

Quantum electrodynamics in 1 + 1D (QED2) shares intriguing properties with QCD, including confinement, string breaking, and interesting phase diagram when the non-trivial topological $\theta$-term is considered. Its lattice regularization…

High Energy Physics - Lattice · Physics 2024-11-05 Matteo D'Anna , Marina Krstic Marinkovic , Joao C. Pinto Barros

In noisy quantum systems, achieving high-fidelity state preparation using the adiabatic approach faces a dilemma: either extending the evolution time to reduce diabatic transitions or shortening it to mitigate decoherence effects. Here, we…

Quantum Physics · Physics 2024-08-28 Kang Cai , Prabin Parajuli , Anuvetha Govindarajan , Lin Tian

We introduce the idea of using adiabatic rotation to generate superpositions of a large class of quantum states. For quantum computing this is an interesting alternative to the well-studied "straight line" adiabatic evolution. In ways that…

Quantum Physics · Physics 2009-11-13 M. Stewart Siu

We propose a protocol for realizing the stripe phase in two spin models on a two-dimensional square lattice, which can be implemented with strongly magnetic atoms (Cr, Dy, Er, etc.) in optical lattices by encoding spin states into Zeeman…

Quantum Gases · Physics 2017-09-06 Azadeh Mazloom , Benoît Vermersch , Mikhail A. Baranov , Marcello Dalmonte

Universal quantum computation can be achieved by simply performing single-qubit measurements on a highly entangled resource state. Resource states can arise from ground states of carefully designed two-body interacting Hamiltonians. This…

Quantum Physics · Physics 2012-09-24 Tzu-Chieh Wei , Ian Affleck , Robert Raussendorf

Quantum state preparation lies at the heart of quantum computation and quantum simulations, enabling the investigation of complex manybody systems across physics, chemistry, and data science. While existing methods such as Variational…

Quantum Physics · Physics 2026-01-27 Davide Cugini , Giacomo Guarnieri , Mario Motta , Dario Gerace

Although tensor network states constitute a broad range of exotic quantum states, their realization is challenging and often requires resources whose depth scales with system size. In this work, we explore criteria on the local tensors for…

Quantum Physics · Physics 2024-04-29 Rahul Sahay , Ruben Verresen

Quantum state preparation plays a crucial role in several areas of quantum information science, in applications such as quantum simulation, quantum metrology and quantum computing. However, typically state preparation requires resources…

Quantum Physics · Physics 2024-12-11 Tianqi Chen , Tim Byrnes

The quantum adiabatic method, which maintains populations in their instantaneous eigenstates throughout the state evolution, is an established and often a preferred choice for state preparation and manipulation. Though it minimizes the…

Quantum Physics · Physics 2023-07-26 Abhinav Suresh , Vishal Varma , Priya Batra , T S Mahesh
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