arrow
Return

Minimizing Estimation Runtime on Noisy Quantum Computers

delete2021-03-19
delete55
delete
OA
AI
G
Guoming Wang *
D
Dax Enshan Koh
P
Peter D. Johnson
Y
Yudong Cao
DOI:10.1103/PRXQuantum.2.010346delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
The number of measurements demanded by hybrid quantum-classical algorithms such as the variational quantum eigensolver (VQE) is prohibitively high for many problems of practical value. For such problems, realizing quantum advantage will require methods that dramatically reduce this cost. Previous quantum algorithms that reduce the measurement cost (e.g., quantum amplitude and phase estimation) require error rates that are too low for near-term implementation. Here we propose methods that take advantage of the available quantum coherence to maximally enhance the power of sampling on noisy quantum devices, reducing the measurement number and runtime compared to the standard sampling method of the VQE. Our scheme derives inspiration from quantum metrology, phase estimation, and the more recent alpha-VQE proposal, arriving at a general formulation that is robust to error and does not require ancilla qubits. The central object of this method is what we call the engineered likelihood function (ELF), used for carrying out Bayesian inference. We show how the ELF formalism enhances the rate of information gain in sampling as the physical hardware transitions from the regime of noisy intermediate-scale quantum computers to that of quantum error-corrected ones. This technique speeds up a central component of many quantum algorithms, with applications including chemistry, materials, finance, and beyond. Similar to the VQE, we expect small-scale implementations to be realizable on today's quantum devices.

Journal

P
PRX Quantum
IF:
11
Papers:
919
Citations:
9.0K

Organization

A
agency for science technology & research (a*star)
Scholars:
2.2W
Papers: 1.9W
Citations: 57
Cited Papers

Cited Papers

The Changchun-Yanji Suture Zone: Nature and tectonic implications
err2020-01-01
err0
PREAI
errZHOU JianBo; CAO JiaLin; HAN Wei; LI GongYu
errShare
errSave
A variational eigenvalue solver on a photonic quantum processor
err2014-07-23
err2.7K
errOAAI
errPeruzzo, Alberto; McClean, Jarrod; Shadbolt, Peter; Yung, Man-Hong; Zhou, Xiao-Qi; Love, Peter J.; Aspuru-Guzik, Alan; O'Brien, Jeremy L.
errShare
errSave
Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity
err2018-10-23
err245
errOAAI
errBabbush, Ryan; Gidney, Craig; Berry, Dominic W.; Wiebe, Nathan; McClean, Jarrod; Paler, Alexandra; Fowler, Austin; Neven, Hartmut
errShare
errSave
Data Flow Optimization in the Internet of Things
err2022-02-08
err0
errOAAI
errAbderrahim Zannou; Abdelhak Boulaalam; El Habib Nfaoui
errShare
errSave
Stochastic gradient descent for hybrid quantum-classical optimization
errQUANTUM
IF5.4
err2020-08-31
err158
errOAAI
errSweke, Ryan; Wilde, Frederik; Meyer, Johannes Jakob; Schuld, Maria; Faehrmann, Paul K.; Meynard-Piganeau, Barthelemy; Eisert, Jens
errShare
errSave
Quantum autoencoders for efficient compression of quantum data
err2017-08-18
err356
errOAAI
errRomero, Jonathan; Olson, Jonathan P.; Aspuru-Guzik, Alan
errShare
errSave
Methodology of Resonant Equiangular Composite Quantum Gates
err2016-12-28
err85
errOAAI
errLow, Guang Hao; Yoder, Theodore J.; Chuang, Isaac L.
errShare
errSave
Alexithymia and Personality Disorder Functioning Styles in Paranoid Schizophrenia
err2011-08-17
err0
PREAI
errShaohua Yu; Huichun Li; Weibo Liu; Leilei Zheng; Ying Ma; Qiaozhen Chen; Yiping Chen; Hualiang Yu; Yunrong Lu; Bing Pan; Wei Wang
errShare
errSave
researcher View more