Non-Markovian Noise Characterization with the Transfer Tensor Method

被引:27
作者
Chen, Yu-Qin [1 ,2 ,3 ]
Ma, Kai-Li [4 ]
Zheng, Yi-Cong [1 ]
Allcock, Jonathan [1 ]
Zhang, Shengyu [1 ,4 ]
Hsieh, Chang-Yu [1 ]
机构
[1] Tencent Quantum Lab, Shenzhen 518057, Guangdong, Peoples R China
[2] Peking Univ, Int Ctr Quantum Mat, Beijing 100871, Peoples R China
[3] Peking Univ, Sch Phys, Beijing 100871, Peoples R China
[4] Chinese Univ Hong Kong, Hong Kong, Peoples R China
关键词
PROCESS TOMOGRAPHY; QUANTUM PROCESS; DYNAMICS; STATE;
D O I
10.1103/PhysRevApplied.13.034045
中图分类号
O59 [应用物理学];
学科分类号
摘要
We propose simple protocols for performing quantum noise spectroscopy based on the method of transfer tensor maps (TTMs) [Cerrillo and Cao, Phys. Rev. Lett. 112, 110401 (2014)]. The TTM approach is a systematic way to deduce the memory kernel of a time-nonlocal quantum master equation via quantum process tomography. With access to the memory kernel, it is possible to (1) assess the non-Markovianity of a quantum process, (2) reconstruct the noise spectral density beyond pure-dephasing models, and (3) investigate collective decoherence in multiqubit devices. We illustrate the usefulness of TTM spectroscopy on the IBM Quantum Experience platform, and demonstrate that the qubits in the IBM device are subject to mild non-Markovian dissipation with spatial correlations.
引用
收藏
页数:19
相关论文
共 67 条
[1]   Measuring the Spectrum of Colored Noise by Dynamical Decoupling [J].
Alvarez, Gonzalo A. ;
Suter, Dieter .
PHYSICAL REVIEW LETTERS, 2011, 107 (23)
[2]  
[Anonymous], 2019, ARXIV190405902
[3]   Quantum process tomography of a universal entangling gate implemented with Josephson phase qubits [J].
Bialczak, R. C. ;
Ansmann, M. ;
Hofheinz, M. ;
Lucero, E. ;
Neeley, M. ;
O'Connell, A. D. ;
Sank, D. ;
Wang, H. ;
Wenner, J. ;
Steffen, M. ;
Cleland, A. N. ;
Martinis, J. M. .
NATURE PHYSICS, 2010, 6 (06) :409-413
[4]  
Blume-Kohout R., 2013, NAT COMMUN, V8, P14485
[5]  
Breuer H.-P., 2007, The Theory of Open Quantum Systems, DOI DOI 10.1093/ACPROF:OSO/9780199213900.001.0001
[6]   Colloquium: Non-Markovian dynamics in open quantum systems [J].
Breuer, Heinz-Peter ;
Laine, Elsi-Mari ;
Piilo, Jyrki ;
Vacchini, Bassano .
REVIEWS OF MODERN PHYSICS, 2016, 88 (02)
[7]   Initial system-environment correlations via the transfer-tensor method [J].
Buser, Maximilian ;
Cerrillo, Javier ;
Schaller, Gernot ;
Cao, Jianshu .
PHYSICAL REVIEW A, 2017, 96 (06)
[8]   QUANTUM TUNNELLING IN A DISSIPATIVE SYSTEM [J].
CALDEIRA, AO ;
LEGGETT, AJ .
ANNALS OF PHYSICS, 1983, 149 (02) :374-456
[9]   Quantum channels and memory effects [J].
Caruso, Filippo ;
Giovannetti, Vittorio ;
Lupo, Cosmo ;
Mancini, Stefano .
REVIEWS OF MODERN PHYSICS, 2014, 86 (04) :1203-1259
[10]   Non-Markovian Dynamical Maps: Numerical Processing of Open Quantum Trajectories [J].
Cerrillo, Javier ;
Cao, Jianshu .
PHYSICAL REVIEW LETTERS, 2014, 112 (11)