@article { WOS:000674695300001,
title = {Geometrical Formalism for Dynamically Corrected Gates in Multiqubit Systems},
journal = {PRX Quantum},
volume = {2},
number = {1},
year = {2021},
month = {MAR 9},
publisher = {AMER PHYSICAL SOC},
type = {Article},
abstract = {The ability to perform gates in multiqubit systems that are robust to noise is of crucial importance for the advancement of quantum information technologies. However, finding control pulses that cancel noise while performing a gate is made difficult by the intractability of the time-dependent Schrodinger equation, especially in multiqubit systems. Here, we show that this issue can be sidestepped by using a formalism in which the cumulative error during a gate is represented geometrically as a curve in a multidimensional Euclidean space. Cancelation of noise errors to leading order corresponds to closure of the curve, a condition that can be satisfied without solving the Schrodinger equation. We develop and uncover general properties of this geometric formalism, and derive a recursion relation that maps control fields to curvatures for Hamiltonians of arbitrary dimension. We demonstrate the utility of the formalism by employing it to design pulses that simultaneously correct against both noise errors and crosstalk for two qubits coupled by an Ising interaction. We give examples both of a single-qubit rotation and a two-qubit maximally entangling gate. The results obtained in this example are relevant to both superconducting transmon qubits and semiconductor quantum-dot spin qubits. We propose this geometric formalism as a general technique for pulse-induced error suppression in quantum computing gate operations.},
doi = {10.1103/PRXQuantum.2.010341},
author = {Buterakos, Donovan and Das Sarma, Sankar and Barnes, Edwin}
}
@article {jian_landau_2020,
title = {Landau poles in condensed matter systems},
journal = {Phys. Rev. Res.},
volume = {2},
number = {2},
year = {2020},
note = {Place: ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA Publisher: AMER PHYSICAL SOC Type: Article},
month = {jun},
abstract = {The existence or not of Landau poles is one of the oldest open questions in nonasymptotic quantum field theories. We investigate the Landau pole issue in two condensed matter systems whose long-wavelength physics is described by appropriate quantum field theories: the critical quantum magnet and Dirac fermions in graphene with long-range Coulomb interactions. The critical quantum magnet provides a classic example of a quantum phase transition, and it is well described by the phi(4) theory. We find that the irrelevant but symmetry-allowed couplings, such as the phi(6) potential, can significantly change the fate of the Landau pole in the emergent phi(4) theory. We obtain the coupled beta functions of a phi(4) + phi(6) potential at both small and large orders. Already from the one-loop calculation, the Landau pole is replaced by an ultraviolet fixed point. A Lipatov analysis at large orders reveals that the inclusion of a phi(6) term also has important repercussions for the high-order expansion of the beta functions. We also investigate the role of the Landau pole in a very different system: Dirac fermions in 2 + 1 dimensions with long-range Coulomb interactions, e.g., graphene. Both the weak-coupling perturbation theory up to two loops and a low-order large-N calculation show the absence of a Landau pole. Furthermore, we calculate the asymptotic expansion coefficients of the beta function. We find that the asymptotic coefficient is bounded by that of a pure bosonic phi(4) theory, and consequently graphene is free from Landau poles if the pure (4) theory does not manifest a Landau pole. We briefly discuss possible experiments that could potentially probe the existence of a Landau pole in these systems. Studying Landau poles in suitable condensed matter systems is of considerable fundamental importance since the relevant Landau pole energy scales in particle physics, whether it is quantum electrodynamics or Higgs physics, are completely unattainable.},
doi = {10.1103/PhysRevResearch.2.023310},
author = {Jian, Shao-Kai and Barnes, Edwin and Das Sarma, Sankar}
}
@article { ISI:000415568700001,
title = {Fast pulse sequences for dynamically corrected gates in singlet-triplet qubits},
journal = {PHYSICAL REVIEW B},
volume = {96},
number = {19},
year = {2017},
month = {NOV 17},
issn = {2469-9950},
doi = {10.1103/PhysRevB.96.195424},
author = {Throckmorton, Robert E. and Zhang, Chengxian and Yang, Xu-Chen and Wang, Xin and Barnes, Edwin and S. Das Sarma}
}
@article { ISI:000372413000004,
title = {Filter function formalism beyond pure dephasing and non-Markovian noise in singlet-triplet qubits},
journal = {PHYSICAL REVIEW B},
volume = {93},
number = {12},
year = {2016},
month = {MAR 16},
issn = {2469-9950},
doi = {10.1103/PhysRevB.93.121407},
author = {Barnes, Edwin and Rudner, Mark S. and Martins, Frederico and Malinowski, Filip K. and Marcus, Charles M. and Kuemmeth, Ferdinand}
}
@article { ISI:000372432300003,
title = {Noise Suppression Using Symmetric Exchange Gates in Spin Qubits},
journal = {PHYSICAL REVIEW LETTERS},
volume = {116},
number = {11},
year = {2016},
month = {MAR 16},
issn = {0031-9007},
doi = {10.1103/PhysRevLett.116.116801},
author = {Martins, Frederico and Malinowski, Filip K. and Nissen, Peter D. and Barnes, Edwin and Fallahi, Saeed and Gardner, Geoffrey C. and Manfra, Michael J. and Marcus, Charles M. and Kuemmeth, Ferdinand}
}
@article { ISI:000370245900009,
title = {Noise-induced collective quantum state preservation in spin qubit arrays},
journal = {PHYSICAL REVIEW B},
volume = {93},
number = {8},
year = {2016},
month = {FEB 16},
issn = {2469-9950},
doi = {10.1103/PhysRevB.93.085420},
author = {Barnes, Edwin and Deng, Dong-Ling and Throckmorton, Robert E. and Wu, Yang-Le and S. Das Sarma}
}
@article { ISI:000352470000003,
title = {Analytical approach to swift nonleaky entangling gates in superconducting qubits},
journal = {PHYSICAL REVIEW B},
volume = {91},
number = {16},
year = {2015},
month = {APR 9},
issn = {1098-0121},
doi = {10.1103/PhysRevB.91.161405},
author = {Economou, Sophia E. and Barnes, Edwin}
}
@article { ISI:000357487000006,
title = {Interacting Dirac liquid in three-dimensional semimetals},
journal = {PHYSICAL REVIEW B},
volume = {92},
number = {4},
year = {2015},
month = {JUL 6},
issn = {1098-0121},
doi = {10.1103/PhysRevB.92.045104},
author = {Hofmann, Johannes and Barnes, Edwin and S. Das Sarma}
}
@article { ISI:000360331300001,
title = {Many-body effects and ultraviolet renormalization in three-dimensional Dirac materials},
journal = {PHYSICAL REVIEW B},
volume = {92},
number = {11},
year = {2015},
month = {SEP 1},
issn = {1098-0121},
doi = {10.1103/PhysRevB.92.115101},
author = {Throckmorton, Robert E. and Hofmann, Johannes and Barnes, Edwin and S. Das Sarma}
}
@article { ISI:000359102300002,
title = {Robust quantum control using smooth pulses and topological winding},
journal = {SCIENTIFIC REPORTS},
volume = {5},
year = {2015},
month = {AUG 4},
issn = {2045-2322},
doi = {10.1038/srep12685},
author = {Barnes, Edwin and Wang, Xin and S. Das Sarma}
}
@article { ISI:000338653100001,
title = {Effective field theory, three-loop perturbative expansion, and their experimental implications in graphene many-body effects},
journal = {PHYSICAL REVIEW B},
volume = {89},
number = {23},
year = {2014},
month = {JUN 25},
issn = {1098-0121},
doi = {10.1103/PhysRevB.89.235431},
author = {Barnes, Edwin and Hwang, E. H. and Throckmorton, R. E. and S. Das Sarma}
}
@article { ISI:000343304600003,
title = {Noise-compensating pulses for electrostatically controlled silicon spin qubits},
journal = {PHYSICAL REVIEW B},
volume = {90},
number = {15},
year = {2014},
month = {OCT 14},
issn = {1098-0121},
doi = {10.1103/PhysRevB.90.155306},
author = {Wang, Xin and Calderon-Vargas, F. A. and Rana, Muhed S. and Kestner, J. P. and Barnes, Edwin and S. Das Sarma}
}
@article { ISI:000332222800003,
title = {Robust quantum gates for singlet-triplet spin qubits using composite pulses},
journal = {PHYSICAL REVIEW A},
volume = {89},
number = {2},
year = {2014},
month = {FEB 11},
issn = {1050-2947},
doi = {10.1103/PhysRevA.89.022310},
author = {Wang, Xin and Bishop, Lev S. and Barnes, Edwin and Kestner, J. P. and S. Das Sarma}
}
@article { ISI:000332421900003,
title = {Strong hyperfine-induced modulation of an optically driven hole spin in an InAs quantum dot},
journal = {PHYSICAL REVIEW B},
volume = {89},
number = {7},
year = {2014},
month = {FEB 28},
issn = {1098-0121},
doi = {10.1103/PhysRevB.89.075316},
author = {Carter, S. G. and Economou, Sophia E. and Greilich, A. and Barnes, Edwin and Sweeney, T. and Bracker, A. S. and Gammon, D.}
}
@article { ISI:000333666300005,
title = {Theory of dynamic nuclear polarization and feedback in quantum dots},
journal = {PHYSICAL REVIEW B},
volume = {89},
number = {16},
year = {2014},
month = {APR 2},
issn = {1098-0121},
doi = {10.1103/PhysRevB.89.165301},
author = {Economou, Sophia E. and Barnes, Edwin}
}
@article { ISI:000341270400008,
title = {Why Does Graphene Behave as a Weakly Interacting System?},
journal = {PHYSICAL REVIEW LETTERS},
volume = {113},
number = {10},
year = {2014},
month = {SEP 5},
issn = {0031-9007},
doi = {10.1103/PhysRevLett.113.105502},
author = {Hofmann, Johannes and Barnes, Edwin and S. Das Sarma}
}
@article { ISI:000321837000023,
title = {Analytically solvable two-level quantum systems and Landau-Zener interferometry},
journal = {PHYSICAL REVIEW A},
volume = {88},
number = {1},
year = {2013},
month = {JUL 15},
issn = {1050-2947},
doi = {10.1103/PhysRevA.88.013818},
author = {Barnes, Edwin}
}
@article { ISI:000325362500001,
title = {Exact Classification of Landau-Majorana-Stuckelberg-Zener Resonances by Floquet Determinants},
journal = {Phys. Rev. Lett.},
volume = {111},
number = {13},
year = {2013},
month = {SEP 25},
pages = {130405},
issn = {0031-9007},
doi = {10.1103/PhysRevLett.111.130405},
author = {Ganeshan, Sriram and Barnes, Edwin and S. Das Sarma}
}
@article { ISI:000317190800002,
title = {Noise-Resistant Control for a Spin Qubit Array},
journal = {Phys. Rev. Lett.},
volume = {110},
number = {14},
year = {2013},
month = {APR 5},
issn = {0031-9007},
doi = {10.1103/PhysRevLett.110.140502},
author = {J P Kestner and Wang, Xin and Bishop, Lev S. and Barnes, Edwin and S. Das Sarma}
}
@article {2336,
title = {Six-electron semiconductor double quantum dot qubits},
journal = {Phys. Rev. B},
volume = {88},
year = {2013},
month = {Nov},
pages = {195131},
doi = {10.1103/PhysRevB.88.195131},
url = {http://link.aps.org/doi/10.1103/PhysRevB.88.195131},
author = {Nielsen, Erik and Barnes, Edwin and J P Kestner and S. Das Sarma}
}
@article { ISI:000307283300001,
title = {Analytically Solvable Driven Time-Dependent Two-Level Quantum Systems},
journal = {PHYSICAL REVIEW LETTERS},
volume = {109},
number = {6},
year = {2012},
month = {AUG 7},
issn = {0031-9007},
doi = {10.1103/PhysRevLett.109.060401},
author = {Barnes, Edwin and S. Das Sarma}
}
@article {2411,
title = {Composite pulses for robust universal control of singlet-triplet qubits},
journal = {Nature Communications},
volume = {3},
year = {2012},
month = {8/2012},
pages = {997},
doi = {10.1038/ncomms2003},
author = {Wang, Xin and Bishop, Lev S. and J P Kestner and Barnes, Edwin and Kai Sun and S. Das Sarma}
}
@article { ISI:000309589600001,
title = {Nonperturbative Master Equation Solution of Central Spin Dephasing Dynamics},
journal = {PHYSICAL REVIEW LETTERS},
volume = {109},
number = {14},
year = {2012},
month = {OCT 5},
issn = {0031-9007},
doi = {10.1103/PhysRevLett.109.140403},
author = {Barnes, Edwin and Cywinski, Lukasz and S. Das Sarma}
}
@article { ISI:000292922100015,
title = {Electron-Nuclear Dynamics in a Quantum Dot under Nonunitary Electron Control},
journal = {PHYSICAL REVIEW LETTERS},
volume = {107},
number = {4},
year = {2011},
month = {JUL 20},
issn = {0031-9007},
doi = {10.1103/PhysRevLett.107.047601},
author = {Barnes, Edwin and Economou, Sophia E.}
}
@article { ISI:000296290000009,
title = {Master equation approach to the central spin decoherence problem: Uniform coupling model and role of projection operators},
journal = {PHYSICAL REVIEW B},
volume = {84},
number = {15},
year = {2011},
month = {OCT 18},
issn = {1098-0121},
doi = {10.1103/PhysRevB.84.155315},
author = {Barnes, Edwin and Cywinski, Lukasz and S. Das Sarma}
}
@article { ISI:000298115400004,
title = {Screening of charged impurities with multielectron singlet-triplet spin qubits in quantum dots},
journal = {PHYSICAL REVIEW B},
volume = {84},
number = {23},
year = {2011},
month = {DEC 15},
issn = {1098-0121},
doi = {10.1103/PhysRevB.84.235309},
author = {Barnes, Edwin and Kestner, J. P. and Nguyen, N. T. T. and S. Das Sarma}
}