Asset Details
Do you wish to reserve the book?
Creating and manipulating a Laughlin-type \\(\\nu=1/3\\) fractional quantum Hall state on a quantum computer with linear depth circuits
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
Creating and manipulating a Laughlin-type \\(\\nu=1/3\\) fractional quantum Hall state on a quantum computer with linear depth circuits
Do you wish to request the book?
Creating and manipulating a Laughlin-type \\(\\nu=1/3\\) fractional quantum Hall state on a quantum computer with linear depth circuits
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Paper
Creating and manipulating a Laughlin-type \\(\\nu=1/3\\) fractional quantum Hall state on a quantum computer with linear depth circuits
2020
Overview
Here we present an efficient quantum algorithm to generate an equivalent many-body state to Laughlin's \\(\\nu=1/3\\) fractional quantum Hall state on a digitized quantum computer. Our algorithm only uses quantum gates acting on neighboring qubits in a quasi-one-dimensional setting, and its circuit depth is linear in the number of qubits, i.e., the number of Landau orbitals in the second quantized picture. We identify correlation functions that serve as signatures of the Laughlin state and discuss how to obtain them on a quantum computer. We also discuss a generalization of the algorithm for creating quasiparticles in the Laughlin state. This paves the way for several important studies, including quantum simulation of nonequilibrium dynamics and braiding of quasiparticles in quantum Hall states.
Publisher
Cornell University Library, arXiv.org
