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The program of classifying symmetry protected topological (SPT) phases in 1D has been recently completed and has opened the doors to study closely the properties of systems belonging to these phases. It was recently found that being able to…

Quantum Physics · Physics 2015-09-04 Abhishodh Prakash , Tzu-Chieh Wei

Large-scale quantum computers rely on quantum error correction to protect the fragile quantum information. Among the possible candidates of quantum computing devices, silicon-based spin qubits hold a great promise due to their compatibility…

Quantum Physics · Physics 2022-08-31 Kenta Takeda , Akito Noiri , Takashi Nakajima , Takashi Kobayashi , Seigo Tarucha

Quantum phase transitions out of a symmetry-protected topological (SPT) phase in (1+1) dimensions into an adjacent, topologically distinct SPT phase protected by the same symmetry or a trivial gapped phase, are typically described by a…

Strongly Correlated Electrons · Physics 2017-08-02 Gil Young Cho , Ken Shiozaki , Shinsei Ryu , Andreas W. W. Ludwig

The basic idea of spin chain engineering for perfect quantum state transfer (QST) is to find a set of coupling constants in the Hamiltonian, such that a particular state initially encoded on one site will evolve freely to the opposite site…

Quantum Physics · Physics 2007-05-23 Man-Hong Yung

Topological error correction provides an effective method to correct errors in quantum computation. It allows quantum computation to be implemented with higher error threshold and high tolerating loss rates. We present a topological a error…

Quantum Physics · Physics 2021-05-19 Shuhong Hao , Meihong Wang , Dong Wang , Xiaolong Su

We examine the role of quantum error correction (QEC) in achieving pretty good quantum state transfer over a class of $1$-d spin Hamiltonians. Recasting the problem of state transfer as one of information transmission over an underlying…

Quantum Physics · Physics 2018-11-14 Akshaya Jayashankar , Prabha Mandayam

When a system is driven across a continuous phase transition, the density of topological defects demonstrates a power-law scaling behavior versus the quenching rate, as predicted by Kibble-Zurek mechanism. In this study, we generalized this…

Quantum Physics · Physics 2024-06-27 Lingzi Huang , Menghua Deng , Chen Sun , Fuxiang Li

We consider the classification problem of symmetry protected topological (SPT) phases on quantum spin systems. SPT phases are gapped short-range-entangled quantum phases with a symmetry $G$. We explain that in one and two-dimensional…

Mathematical Physics · Physics 2021-10-12 Yoshiko Ogata

Gapped fracton phases of matter generalize the concept of topological order and broaden our fundamental understanding of entanglement in quantum many-body systems. However, their analytical or numerical description beyond exactly solvable…

Strongly Correlated Electrons · Physics 2023-05-30 Guo-Yi Zhu , Ji-Yao Chen , Peng Ye , Simon Trebst

We investigate the influence of local decoherence on a symmetry-protected topological (SPT) phase of the two-dimensional (2D) cluster state. Mapping the 2D cluster state under decoherence to a classical spin model, we show a topological…

Quantum Physics · Physics 2024-05-06 Yuxuan Guo , Yuto Ashida

Quantum information science has the potential to revolutionize modern technology by providing resource-efficient approaches to computing, communication, and sensing. Although the physical qubits in a realistic quantum device will inevitably…

Mesoscale and Nanoscale Physics · Physics 2019-10-07 Yadav P. Kandel , Haifeng Qiao , Saeed Fallahi , Geoffrey C. Gardner , Michael J. Manfra , John M. Nichol

We investigate string correlations in an infinite-size spin-1/2 bond-alternating Heisenberg chain. By employing the infinite matrix product state representation with the infinite time evolving block decimation method, a finite string…

Statistical Mechanics · Physics 2013-05-30 Hai Tao Wang , Bo Li , Sam Young Cho

We show that a perfect quantum state transmission can be realized through a spin chain possessing a commensurate structure of energy spectrum, which is matched with the corresponding parity. As an exposition of the mirror inversion symmetry…

Quantum Physics · Physics 2009-11-10 T. Shi , Ying Li , Z. Song , C. P. Sun

In the quest for designing novel protocols for quantum information and quantum computation, an important goal is to achieve perfect quantum state transfer for systems beyond the well-known one dimensional cases, such as 1d spin chains. We…

Mathematical Physics · Physics 2021-08-04 Maxim Derevyagin , Gerald V. Dunne , Gamal Mograby , Alexander Teplyaev

Symmetry-protected trivial (SPt) phases of matter are the product-state analogue of symmetry-protected topological (SPT) phases. This means, SPt phases can be adiabatically connected to a product state by some path that preserves the…

Strongly Correlated Electrons · Physics 2016-06-08 Augustine Kshetrimayum , Hong-Hao Tu , Roman Orus

Recent progress in characterization for gapped quantum phases has also triggered the search of universal resource for quantum computation in symmetric gapped phases. Prior works in one dimension suggest that it is a feature more common than…

Quantum Physics · Physics 2017-09-18 Tzu-Chieh Wei , Ching-Yu Huang

In recent years, significant progress has been made in the field of state transfer in spin chains, with the aim of achieving perfect state transfer for quantum information processing applications. Previous research has mainly focused on…

Quantum Physics · Physics 2025-04-25 Fateh Bezaz , Chad C. Nelmes , Marta P. Estarellas , Timothy P. Spiller , Irene D'Amico

Topological phase transitions challenge conventional paradigms in many-body physics by separating phases that are locally indistinguishable yet globally distinct. Using a quantum simulator of interacting erbium atoms in an optical lattice,…

Semiconductor quantum-dot spin qubits are a promising platform for quantum computation, because they are scalable and possess long coherence times. In order to realize this full potential, however, high-fidelity information transfer…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Yadav P. Kandel , Haifeng Qiao , Saeed Fallahi , Geoffrey C. Gardner , Michael J. Manfra , John M. Nichol

Semiconductor hole-spin qubits offer a promising route to quantum computation due to their weak hyperfine interaction, and strong intrinsic spin-orbit coupling enabling electric control of qubits. Scalable architectures, however, require…

Quantum Physics · Physics 2026-05-15 Madhumita Sarkar , Roopayan Ghosh , Charles G. Smith , Maksym Myronov , Sougato Bose