Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Quantum search on noisy intermediate-scale quantum devices

Journal Article · · Europhysics Letters
Abstract

Quantum search algorithm (also known as Grover's algorithm) lays the foundation for many other quantum algorithms. Although it is very simple, its implementation is limited on noisy intermediate-scale quantum (NISQ) processors. Grover's algorithm was designed without considering the physical resources, such as depth, in the real implementations. Therefore, Grover's algorithm can be improved for NISQ devices. In this paper, we demonstrate how to implement quantum search algorithms better on NISQ devices. We present detailed benchmarks of the five-qubit quantum search algorithm on different quantum processors, including IBMQ, IonQ, and Honeywell quantum devices. We report the highest success probability of the five-qubit search algorithm compared to previous works. Our results show that designing the error-aware quantum search algorithms is possible, which can maximally harness the power of NISQ computers.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Organization:
USDOE
DOE Contract Number:
AC02-05CH11231
OSTI ID:
2423065
Journal Information:
Europhysics Letters, Journal Name: Europhysics Letters Journal Issue: 1 Vol. 140; ISSN 0295-5075
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English

References (27)

Quantum Computing in the NISQ era and beyond journal August 2018
Quantum amplitude-amplification operators journal December 2021
General framework for quantum search algorithms journal October 2012
Introducing structure to expedite quantum searching journal June 2021
Trade-offs in the quantum search algorithm journal November 2002
A Meet-in-the-Middle Algorithm for Fast Synthesis of Depth-Optimal Quantum Circuits journal June 2013
Quantum Computers Can Search Rapidly by Using Almost Any Transformation journal May 1998
Quantum Mechanics Helps in Searching for a Needle in a Haystack journal July 1997
Time–space complexity of quantum search algorithms in symmetric cryptanalysis: applying to AES and SHA-2 journal October 2018
Family of Grover’s quantum-searching algorithms journal November 2000
Tight Bounds on Quantum Searching journal June 1998
Quest for Fast Partial Search Algorithm journal May 2006
Grover’s quantum searching algorithm is optimal journal October 1999
Generalized quantum search with parallelism journal April 2000
Implementation of efficient quantum search algorithms on NISQ computers journal July 2021
Grover-algorithm-like operator using only single-qubit gates journal September 2005
A review on quantum search algorithms journal November 2017
Quantum machine learning journal September 2017
Exactness of the original Grover search algorithm journal October 2010
Advantages of using relative-phase Toffoli gates with an application to multiple control Toffoli optimization journal February 2016
Simple Algorithm for Partial Quantum Search journal February 2006
Noisy intermediate-scale quantum algorithms journal February 2022
Quantum amplitude amplification and estimation book January 2002
Subdivided Phase Oracle for NISQ Search Algorithms journal January 2020
Group Theoretical Formulation of a Quantum Partial Search Algorithm journal November 2006
Elementary gates for quantum computation journal November 1995
Complete 3-Qubit Grover search on a programmable quantum computer journal December 2017

Similar Records

Noisy intermediate-scale quantum algorithms
Journal Article · Mon Feb 14 19:00:00 EST 2022 · Reviews of Modern Physics · OSTI ID:1980381

Classical Optimizers for Noisy Intermediate-Scale Quantum Devices
Conference · Tue Apr 14 00:00:00 EDT 2020 · OSTI ID:1615327

Related Subjects