Dynamically corrected gates for an exchange-only qubit

被引:27
作者
Hickman, G. T. [1 ]
Wang, Xin [2 ]
Kestner, J. P. [1 ,2 ]
Das Sarma, S. [2 ]
机构
[1] Univ Maryland Baltimore Cty, Dept Phys, Baltimore, MD 21250 USA
[2] Univ Maryland, Dept Phys, Condensed Matter Theory Ctr, College Pk, MD 20742 USA
来源
PHYSICAL REVIEW B | 2013年 / 88卷 / 16期
关键词
SINGLE-ELECTRON SPIN; QUANTUM-DOT; OSCILLATIONS;
D O I
10.1103/PhysRevB.88.161303
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We provide analytical composite pulse sequences that perform dynamical decoupling concurrently with arbitrary rotations for a qubit coded in the spin state of a triple quantum dot. The sequences are designed to respect realistic experimental constraints such as strictly nonnegative couplings. Logical errors and leakage errors are simultaneously corrected. A short pulse sequence is presented to compensate nuclear noise and a longer sequence is presented to simultaneously compensate nuclear and charge noise. The capability developed in this work provides a clear prescription for combatting the relevant sources of noise that currently hinder exchange-only qubit experiments.
引用
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页数:5
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共 27 条
[1]   Interlaced Dynamical Decoupling and Coherent Operation of a Singlet-Triplet Qubit [J].
Barthel, C. ;
Medford, J. ;
Marcus, C. M. ;
Hanson, M. P. ;
Gossard, A. C. .
PHYSICAL REVIEW LETTERS, 2010, 105 (26)
[2]   Dephasing time of GaAs electron-spin qubits coupled to a nuclear bath exceeding 200 μs [J].
Bluhm, Hendrik ;
Foletti, Sandra ;
Neder, Izhar ;
Rudner, Mark ;
Mahalu, Diana ;
Umansky, Vladimir ;
Yacoby, Amir .
NATURE PHYSICS, 2011, 7 (02) :109-113
[3]   Universal leakage elimination [J].
Byrd, MS ;
Lidar, DA ;
Wu, LA ;
Zanardi, P .
PHYSICAL REVIEW A, 2005, 71 (05)
[4]   Charge Noise Spectroscopy Using Coherent Exchange Oscillations in a Singlet-Triplet Qubit [J].
Dial, O. E. ;
Shulman, M. D. ;
Harvey, S. P. ;
Bluhm, H. ;
Umansky, V. ;
Yacoby, A. .
PHYSICAL REVIEW LETTERS, 2013, 110 (14)
[5]   Universal quantum computation with the exchange interaction [J].
DiVincenzo, DP ;
Bacon, D ;
Kempe, J ;
Burkard, G ;
Whaley, KB .
NATURE, 2000, 408 (6810) :339-342
[6]   Coherent control of three-spin states in a triple quantum dot [J].
Gaudreau, L. ;
Granger, G. ;
Kam, A. ;
Aers, G. C. ;
Studenikin, S. A. ;
Zawadzki, P. ;
Pioro-Ladriere, M. ;
Wasilewski, Z. R. ;
Sachrajda, A. S. .
NATURE PHYSICS, 2012, 8 (01) :54-58
[7]   Noise-Resistant Control for a Spin Qubit Array [J].
Kestner, J. P. ;
Wang, Xin ;
Bishop, Lev S. ;
Barnes, Edwin ;
Das Sarma, S. .
PHYSICAL REVIEW LETTERS, 2013, 110 (14)
[8]   Automated synthesis of dynamically corrected quantum gates [J].
Khodjasteh, Kaveh ;
Bluhm, Hendrik ;
Viola, Lorenza .
PHYSICAL REVIEW A, 2012, 86 (04)
[9]   Dynamical quantum error correction of unitary operations with bounded controls [J].
Khodjasteh, Kaveh ;
Viola, Lorenza .
PHYSICAL REVIEW A, 2009, 80 (03)
[10]   Driven coherent oscillations of a single electron spin in a quantum dot [J].
Koppens, F. H. L. ;
Buizert, C. ;
Tielrooij, K. J. ;
Vink, I. T. ;
Nowack, K. C. ;
Meunier, T. ;
Kouwenhoven, L. P. ;
Vandersypen, L. M. K. .
NATURE, 2006, 442 (7104) :766-771