AUTOMATED DISCOVERY OF LOGICAL GATES FOR QUANTUM ERROR CORRECTION

作     者：Chen, Hongxiang Vasmer, Michael Breuckmann, Nikolas P. Grant, Edward 

作者机构：Department of Computer Science University College London Gower Street LondonWC1E 6EA United Kingdom Odyssey Therapeutics Inc. 301 Binney Street CambridgeMA02142 United States Perimeter Institute for Theoretical Physics WaterlooONN2L 2Y5 Canada Institute for Quantum Computing University of Waterloo WaterlooONN2L 3G1 Canada Department of Physics & Astronomy University College London Gower St LondonWC1E 6EA United Kingdom 

出 版 物：《Quantum Information and Computation》 (Quantum Inf. Comput.)

年 卷 期：2022年第22卷第11-12期

页      面：947-964页

核心收录：

学科分类：070207[理学-光学] 07[理学] 0835[工学-软件工程] 070201[理学-理论物理] 0803[工学-光学工程] 0701[理学-数学] 0702[理学-物理学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：We wish to acknowledge the usage of high performance computing cluster from Department of Computer Science  University College London in completion of this project. H.C. acknowledges the support through a Teaching Fellowship from UCL. E.G. is supported by the UK Engineering and Physical Sciences Research Council (EPSRC) [EP/P510270/1] M.V. at the Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation  Science and Economic Development Canada and by the Province of Ontario through the Ministry of Economic Development  Job Creation and Trade. N.P.B. is supported by the UCLQ Fellowship 

主　　题：Error correction 

摘      要：Quantum error correcting codes protect quantum computation from errors caused by decoherence and other noise. Here we study the problem of designing logical operations for quantum error correcting codes. We present an automated procedure that generates logical operations given known encoding and correcting procedures. Our technique is to use variational circuits for learning both the logical gates and the physical operations implementing them. This procedure can be implemented on near-term quantum computers via quantum process tomography. It enables automatic discovery of logical gates from analytically designed error correcting codes and can be extended to error correcting codes found by numerical optimization. We test the procedure by simulating small quantum codes of four to fifteen qubits showing that our procedure finds most logical gates known in the current literature. Additionally, it generates logical gates not found in the current literature for the [[5,1,2]] code, the [[6,3,2]] code, the [[8,3,2]] code, and the [[10,1,2]] code. © Rinton Press.