Robust measurement of wave function topology on NISQ quantum computers
نویسندگان
چکیده
Topological quantum phases of materials are defined through their topological invariants. These invariants quantities that characterize the global geometrical properties wave functions and thus immune to local noise. Here, we present a strategy measure on computers. We show our can be easily integrated with variational eigensolver (VQE) so generic many-body states characterized current hardware. demonstrate robust nature method by measuring for both non-interacting interacting models, map out phase diagrams simulators IBM
منابع مشابه
Compressive direct measurement of the quantum wave function.
The direct measurement of a complex wave function has been recently realized by using weak values. In this Letter, we introduce a method that exploits sparsity for the compressive measurement of the transverse spatial wave function of photons. The procedure involves weak measurements of random projection operators in the spatial domain followed by postselection in the momentum basis. Using this...
متن کاملRobust wave function optimization procedures in quantum Monte Carlo methods
The energy variance optimization algorithm over a fixed ensemble of configurations in variational Monte Carlo often encounters problems of convergence. Being formally identical to a problem of fitting data, we re-examine it from a statistical maximum-likelihood point of view. We show that the assumption of an underlying Gaussian distribution of the local energy, implicit in the standard varianc...
متن کاملQuantum Gravity on Computers
Some times Thomas Hardy has been compared to Dostoevski, but Dostoevski is an incomparably ner artist. If Dostoevski's works could be compared to some of say, Rubens' paintings, then Hardy's are neatly nished diagrams drawn on graph paper with ruler and compass! Compare for instance the tragedy to Tess with that of Sonia, or the culmination of the forces in Raskolnikoo's confession with the mel...
متن کاملQuantum Measurement Theory in Gravitational-Wave Detectors
The fast progress in improving the sensitivity of the gravitational-wave detectors, we all have witnessed in the recent years, has propelled the scientific community to the point at which quantum behavior of such immense measurement devices as kilometer-long interferometers starts to matter. The time when their sensitivity will be mainly limited by the quantum noise of light is around the corne...
متن کاملDatabase Manipulation on Quantum Computers
Manipulating a database system on a quantum computer is an essential aim to benefit from the promising speed-up of quantum computers over classical computers in areas that take a vast amount of storage and processing time such as in databases. In this paper, the basic operations for manipulating the data in a quantum database will be defined, e.g. INSERT, UPDATE, DELETE, SELECT, backing up and ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Quantum
سال: 2023
ISSN: ['2521-327X']
DOI: https://doi.org/10.22331/q-2023-04-27-987