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The geometry of Hamiltonian's eigenstates is encoded in the quantum geometric tensor (QGT). It contains both the Berry curvature, central to the description of topological matter and the quantum metric. So far the full QGT has been measured…

Mesoscale and Nanoscale Physics · Physics 2021-09-08 Qing Liao , Charly Leblanc , Jiahuan Ren , Feng Li , Yiming Li , Dmitry Solnyshkov , Guillaume Malpuech , Jiannian Yao , Hongbing Fu

Symmetry protected topological phases exhibit nontrivial short-ranged entanglement protected by symmetry and cannot be adiabatically connected to trivial product states while preserving the symmetry. In contrast, intrinsic topological…

Quantum Physics · Physics 2023-11-01 Yabo Li , Hiroki Sukeno , Aswin Parayil Mana , Hendrik Poulsen Nautrup , Tzu-Chieh Wei

We introduce the spin coherence scale as a measure of quantum coherence for spin systems, generalizing the quadrature coherence scale (QCS) previously defined for quadrature observables. This SU($2$)-invariant measure quantifies the…

Quantum Physics · Physics 2025-10-14 Aaron Z. Goldberg , Anaelle Hertz

The molecular dark state participates in many important photon-induced processes, yet is typically beyond the optical-spectroscopic measurement due to the forbidden transition dictated by the selection rule. In this work, we propose to use…

Quantum Physics · Physics 2021-11-09 Guohui Dong , Zhubin Hu , Xiang Sun , Hui Dong

Quantum state tomography (QST) for reconstructing pure states requires exponentially increasing resources and measurements with the number of qubits by using state-of-the-art quantum compressive sensing (CS) methods. In this article, QST…

Quantum Physics · Physics 2021-11-16 Burhan Gulbahar

A theoretical spin-based scheme for performing a variety of quantum computations is presented. It makes use of an array of multiple identical computer vectors of phosphorus-doped silicon where the nuclei serve as logical qubits and the…

Quantum Physics · Physics 2013-02-08 Aharon Blank

We describe the construction and performance of a scanning tunneling microscope (STM) capable of taking maps of the tunneling density of states with sub-atomic spatial resolution at dilution refrigerator temperatures and high (14 T)…

Instrumentation and Detectors · Physics 2013-10-04 Shashank Misra , Brian B. Zhou , Ilya K. Drozdov , Jungpil Seo , Andras Gyenis , Simon C. J. Kingsley , Howard Jones , Ali Yazdani

We consider the magnetic structure on the Fe(001) surface and theoretically study the scanning tunneling spectroscopy using a spin-polarized tip (SP-STM). We show that minority-spin surface states induce a strong bias dependence of the…

Materials Science · Physics 2009-07-21 Athanasios N. Chantis , Darryl L. Smith , J. Fransson , A. V. Balatsky

We consider the problem of correct measurement of a quantum entanglement in the two-body electron-electron scattering. An expression is derived for a spin correlation tensor of a pure two-electron state. A geometrical measure of a quantum…

Quantum Physics · Physics 2017-03-24 Davyd Tsurikov , Sergey Samarin , James Williams , Oleg Artamonov

We present an effective measurement scheme for the solid-state qubits that does {\bf not} introduce extra decoherence to the qubits until the measurement is switched on by a resonant pulse. The resonant pulse then maximally entangles the…

Quantum Physics · Physics 2011-07-26 L. Tian , S. Lloyd , T. P. Orlando

Quantum state tomography (QST) is a universal tool for the design and optimization of entangled-photon sources. It typically requires single-photon detectors and coincidence measurements. Recently, it was suggested that the information…

Electron spins in silicon quantum dots provide a promising route towards realising the large number of coupled qubits required for a useful quantum processor. At present, the requisite single-shot spin qubit measurements are performed using…

This article presents numerical recipes for simulating high-temperature and non-equilibrium quantum spin systems that are continuously measured and controlled. The notion of a spin system is broadly conceived, in order to encompass…

The quantum geometric tensor (QGT) is a fundamental concept for characterizing the local geometry of quantum states. After casting the geometry of pure quantum states and extracting the QGT, we generalize the geometry to mixed quantum…

Quantum Physics · Physics 2024-07-19 Xu-Yang Hou , Zheng Zhou , Xin Wang , Hao Guo , Chih-Chun Chien

Quantum sensors based on spin defect ensembles have seen rapid development in recent years, with a wide array of target applications. Historically, these sensors have used optical methods to prepare or read out quantum states. However,…

We consider to detect the electron spin of a doped atom, i.e., a nitrogen or a phosphorus, caged in a fullerene by currently available technique of the scanning tunneling microscope (STM), which actually corresponds to the readout of a…

Quantum Physics · Physics 2009-11-13 M. Feng , G. J. Dong , B. Hu

We describe recent progress in our understanding of the interplay between interactions, symmetry, and topology in states of quantum matter. We focus on a minimal generalization of the celebrated topological band insulators to interacting…

Strongly Correlated Electrons · Physics 2015-08-05 T. Senthil

Spin squeezing is a form of entanglement that reshapes the quantum projection noise to improve measurement precision. Here, we provide numerical and analytic evidence for the following conjecture: any Hamiltonian exhibiting finite…

The geometric measure of entanglement for a symmetric pure state with nonnegative amplitudes has attracted much attention. On the other hand, the spectral theory of nonnegative tensors (hypermatrices) has been developed rapidly. In this…

Quantum Physics · Physics 2015-03-13 Shenglong Hu , Liqun Qi , Guofeng Zhang

Scanning tunneling microscope (STM) is a powerful tool for studying the structural and electronic properties of materials at the atomic scale. The combination of low temperature and high magnetic field for STM and related spectroscopy…

Materials Science · Physics 2018-11-13 Syu-You Guan , Hsien-Shun Liao , Bo-Jing Juang , Shu-Cheng Chin , Tien-Ming Chuang , Chia-Seng Chang