Fault-Tolerant Resource Estimation of Quantum Random-Access Memories

被引:49
作者
Di Matteo, Olivia [1 ,2 ,3 ]
Gheorghiu, Vlad [3 ,4 ]
Mosca, Michele [3 ,4 ,5 ,6 ]
机构
[1] TRIUMF, Vancouver, BC V6T 2A3, Canada
[2] Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada
[3] Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada
[4] Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada
[5] Perimeter Inst Theoret Phys, Waterloo, ON N2L 6B9, Canada
[6] Canadian Inst Adv Res, Toronto, ON M5G IZ8, Canada
来源
IEEE TRANSACTIONS ON QUANTUM ENGINEERING | 2020年 / 1卷
基金
加拿大自然科学与工程研究理事会;
关键词
Quantum computing; ALGORITHM;
D O I
10.1109/TQE.2020.2965803
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Quantum random-access lookup of a string of classical bits is a necessary ingredient in several important quantum algorithms. In some cases, the cost of such quantum random-access memory (qRAM) is the limiting factor in the implementation of the algorithm. In this article, we study the cost of fault-tolerantly implementing a qRAM. We construct and analyze generic families of circuits that function as a qRAM, discuss opportunities for qubit-time tradeoffs, and estimate their resource costs when embedded in a surface code.
引用
收藏
页数:13
相关论文
共 31 条
[1]   Technology Mapping of Reversible Circuits to Clifford plus T Quantum Circuits [J].
Abdessaied, Nabila ;
Amy, Matthew ;
Soeken, Mathias ;
Drechsler, Rolf .
2016 IEEE 46TH INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL 2016), 2016, :150-155
[2]   Quantum walk algorithm for element distinctness [J].
Ambainis, Andris .
SIAM JOURNAL ON COMPUTING, 2007, 37 (01) :210-239
[3]  
Amy Matthew, 2017, Selected Areas in Cryptography - SAC 2016. 23rd International Conference. Revised Selected Papers: LNCS 10532, P317, DOI 10.1007/978-3-319-69453-5_18
[4]   Polynomial-Time T-Depth Optimization of Clifford plus T Circuits Via Matroid Partitioning [J].
Amy, Matthew ;
Maslov, Dmitri ;
Mosca, Michele .
IEEE TRANSACTIONS ON COMPUTER-AIDED DESIGN OF INTEGRATED CIRCUITS AND SYSTEMS, 2014, 33 (10) :1476-1489
[5]  
[Anonymous], 1988, The C Programming Language
[6]  
[Anonymous], 2020, EnviStats India 2020-Volume 1
[7]  
Arunachalam S., 2014, Masters Thesis
[8]   On the robustness of bucket brigade quantum RAM [J].
Arunachalam, Srinivasan ;
Gheorghiu, Vlad ;
Jochym-O'Connor, Tomas ;
Mosca, Michele ;
Srinivasan, Priyaa Varshinee .
NEW JOURNAL OF PHYSICS, 2015, 17
[9]   Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity [J].
Babbush, Ryan ;
Gidney, Craig ;
Berry, Dominic W. ;
Wiebe, Nathan ;
McClean, Jarrod ;
Paler, Alexandra ;
Fowler, Austin ;
Neven, Hartmut .
PHYSICAL REVIEW X, 2018, 8 (04)
[10]   ELEMENTARY GATES FOR QUANTUM COMPUTATION [J].
BARENCO, A ;
BENNETT, CH ;
CLEVE, R ;
DIVINCENZO, DP ;
MARGOLUS, N ;
SHOR, P ;
SLEATOR, T ;
SMOLIN, JA ;
WEINFURTER, H .
PHYSICAL REVIEW A, 1995, 52 (05) :3457-3467