Title
Fast Black-Box Quantum State Preparation Based On Linear Combination Of Unitaries
Abstract
Black-box quantum state preparation is a fundamental primitive in quantum algorithms. Starting from Grover, a series of techniques have been devised to reduce the complexity. In this work, we propose to perform black-box state preparation using the technique of linear combination of unitaries (LCU). We provide two algorithms based on a different structure of LCU. Our algorithms improve upon the existed best results by reducing the required additional qubits and Toffoli gates to 2log(n) and n, respectively, in the bit precision n. We demonstrate the algorithms using the IBM Quantum Experience cloud services. The further reduced complexity of the present algorithms brings the black-box quantum state preparation closer to reality.
Year
DOI
Venue
2021
10.1007/s11128-021-03203-z
QUANTUM INFORMATION PROCESSING
Keywords
DocType
Volume
State preparation, Linear combination of unitaries, Amplitude transduction
Journal
20
Issue
ISSN
Citations 
8
1570-0755
0
PageRank 
References 
Authors
0.34
0
9
Name
Order
Citations
PageRank
Shengbin Wang100.68
Zhimin Wang200.68
Guolong Cui300.68
Shangshang Shi400.68
Ruimin Shang500.68
Lixin Fan600.34
Wendong Li700.68
Zhiqiang Wei8277.36
Yong-Jian Gu944.10