Quantum computational supremacy

被引:542
作者
Harrow, Aram W. [1 ]
Montanaro, Ashley [2 ]
机构
[1] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
[2] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England
基金
英国工程与自然科学研究理事会; 美国国家科学基金会;
关键词
COMPLEXITY;
D O I
10.1038/nature23458
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
The field of quantum algorithms aims to find ways to speed up the solution of computational problems by using a quantum computer. A key milestone in this field will be when a universal quantum computer performs a computational task that is beyond the capability of any classical computer, an event known as quantum supremacy. This would be easier to achieve experimentally than full-scale quantum computing, but involves new theoretical challenges. Here we present the leading proposals to achieve quantum supremacy, and discuss how we can reliably compare the power of a classical computer to the power of a quantum computer.
引用
收藏
页码:203 / 209
页数:7
相关论文
共 56 条
[41]   Threshold values of random K-SAT from the cavity method [J].
Mertens, S ;
Mézard, M ;
Zecchina, R .
RANDOM STRUCTURES & ALGORITHMS, 2006, 28 (03) :340-373
[42]   Hardness of Classically Simulating the One-Clean-Qubit Model [J].
Morimae, Tomoyuki ;
Fujii, Keisuke ;
Fitzsimons, Joseph F. .
PHYSICAL REVIEW LETTERS, 2014, 112 (13)
[43]   Retrieving the ground state of spin glasses using thermal noise: Performance of quantum annealing at finite temperatures [J].
Nishimura, Kohji ;
Nishimori, Hidetoshi ;
Ochoa, Andrew J. ;
Katzgraber, Helmut G. .
PHYSICAL REVIEW E, 2016, 94 (03)
[44]  
Papadimitriou C., 1994, Computational complexity
[45]   Sufficient Conditions for Efficient Classical Simulation of Quantum Optics [J].
Rahimi-Keshari, Saleh ;
Ralph, Timothy C. ;
Caves, Carlton M. .
PHYSICAL REVIEW X, 2016, 6 (02)
[46]   Temporally unstructured quantum computation [J].
Shepherd, Dan ;
Bremner, Michael J. .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2009, 465 (2105) :1413-1439
[47]  
SHOR PW, 1994, AN S FDN CO, P124
[48]  
Spagnolo N, 2014, NAT PHOTONICS, V8, P615, DOI [10.1038/NPHOTON.2014.135, 10.1038/nphoton.2014.135]
[49]   General Rules for Bosonic Bunching in Multimode Interferometers [J].
Spagnolo, Nicolo ;
Vitelli, Chiara ;
Sansoni, Linda ;
Maiorino, Enrico ;
Mataloni, Paolo ;
Sciarrino, Fabio ;
Brod, Daniel J. ;
Galvao, Ernesto F. ;
Crespi, Andrea ;
Ramponi, Roberta ;
Osellame, Roberto .
PHYSICAL REVIEW LETTERS, 2013, 111 (13)
[50]   Boson Sampling on a Photonic Chip [J].
Spring, Justin B. ;
Metcalf, Benjamin J. ;
Humphreys, Peter C. ;
Kolthammer, W. Steven ;
Jin, Xian-Min ;
Barbieri, Marco ;
Datta, Animesh ;
Thomas-Peter, Nicholas ;
Langford, Nathan K. ;
Kundys, Dmytro ;
Gates, James C. ;
Smith, Brian J. ;
Smith, Peter G. R. ;
Walmsley, Ian A. .
SCIENCE, 2013, 339 (6121) :798-801