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We present a comprehensive theoretical treatment of SUPCODE, a method for generating dynamically corrected quantum gate operations, which are immune to random noise in the environment, by using carefully designed sequences of soft pulses.…

Mesoscale and Nanoscale Physics · Physics 2014-02-12 Xin Wang , Lev S. Bishop , Edwin Barnes , J. P. Kestner , S. Das Sarma

We study the performance of SUPCODE---a family of dynamically correcting pulses designed to cancel simultaneously both Overhauser and charge noise for singlet-triplet spin qubits---adapted to silicon devices with electrostatic control. We…

Mesoscale and Nanoscale Physics · Physics 2014-10-22 Xin Wang , Fernando A. Calderon-Vargas , Muhed S. Rana , Jason P. Kestner , Edwin Barnes , Sankar Das Sarma

We study theoretically the responses of the dynamically corrected gates to time-dependent noises in the exchange-only spin qubit system. We consider $1/f$ noises having spectra proportional to $1/\omega^\alpha$, where the exponent $\alpha$…

Mesoscale and Nanoscale Physics · Physics 2016-10-21 Chengxian Zhang , Xu-Chen Yang , Xin Wang

Fault-tolerant quantum computation requires low physical-qubit gate errors. Many approaches exist to reduce gate errors, including both hardware- and control-optimization strategies. Dynamically corrected gates are designed to cancel…

Quantum Physics · Physics 2024-12-13 Habitamu Y. Walelign , Xinxin Cai , Bikun Li , Edwin Barnes , John M. Nichol

In addition to magnetic field and electric charge noise adversely affecting spin qubit operations, performing single-qubit gates on one of multiple coupled singlet-triplet qubits presents a new challenge---crosstalk, which is inevitable…

Mesoscale and Nanoscale Physics · Physics 2018-01-31 Donovan Buterakos , Robert E. Throckmorton , S. Das Sarma

We present a set of experimentally feasible pulse sequences that implement any single-qubit gate on a singlet-triplet spin qubit and demonstrate that these new sequences are up to three times faster than existing sequences in the…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Robert E. Throckmorton , Chengxian Zhang , Xu-Chen Yang , Xin Wang , Edwin Barnes , S. Das Sarma

We address the problem of constructing dynamically corrected gates for non-Markovian open quantum systems in settings where limitations on the available control inputs and/or the presence of control noise make existing analytical approaches…

Quantum Physics · Physics 2015-06-05 Kaveh Khodjasteh , Hendrik Bluhm , Lorenza Viola

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…

Mesoscale and Nanoscale Physics · Physics 2013-10-24 G. T. Hickman , Xin Wang , J. P. Kestner , S. Das Sarma

We use Space Curve Quantum Control (SCQC) to design, experimentally demonstrate, and benchmark dynamically corrected single-qubit gates on IBM hardware, comparing their performance to that of the standard gates provided by IBM. Our gates…

Quantum Physics · Physics 2025-04-15 Hisham Amer , Evangelos Piliouras , Edwin Barnes , Sophia E. Economou

We develop a systematic method of performing corrected gate operations on an array of exchange-coupled singlet-triplet qubits in the presence of both fluctuating nuclear Overhauser field gradients and charge noise. The single-qubit control…

Quantum Physics · Physics 2013-04-12 J. P. Kestner , Xin Wang , Lev S. Bishop , Edwin Barnes , S. Das Sarma

Decoherence due to charge noise is one of the central challenges in using spin qubits in semiconductor quantum dots as a platform for quantum information processing. Recently, it has been experimentally demonstrated in both Si and GaAs…

Mesoscale and Nanoscale Physics · Physics 2017-05-30 Chengxian Zhang , Robert E. Throckmorton , Xu-Chen Yang , Xin Wang , Edwin Barnes , S. Das Sarma

We introduce a method for designing smooth single-qubit control pulses that implement a desired gate while suppressing the effect of unknown static error sources to first order. Unlike dynamically corrected gate constructions that require…

Quantum Physics · Physics 2026-03-17 Gumaro Rendon

We derive a set of composite pulse sequences that generates CNOT gates and correct all systematic errors within the logical subspace to arbitrary order. These sequences are applicable for any two-qubit interaction Hamiltonian, and make no…

Quantum Physics · Physics 2017-04-19 Fernando A. Calderon-Vargas , J. P. Kestner

Single-qubit operations on singlet-triplet qubits in GaAs double quantum dots have not yet reached the fidelities required for fault-tolerant quantum information processing. Considering experimentally important constraints and using…

Quantum Physics · Physics 2021-01-25 Pascal Cerfontaine , Tim Botzem , David P. DiVincenzo , Hendrik Bluhm

Error mitigation schemes and error-correcting codes have been the center of much effort in quantum information processing research over the last few decades. While most of the successful proposed schemes for error mitigation are…

Quantum Physics · Physics 2023-10-24 Ido Kaplan , Muhammad Erew , Yonatan Piasetzky , Moshe Goldstein , Yaron Oz , Haim Suchowski

Noise is both ubiquitous and generally deleterious in settings where precision is required. This is especially true in the quantum technology sector where system utility typically decays rapidly under its influence. Understanding the noise…

We present composite pulse sequences that perform fault-tolerant two-qubit gate operations on exchange-only quantum dot spin qubits in various experimentally relevant geometries. We show how to perform dynamically corrected two-qubit gates…

Mesoscale and Nanoscale Physics · Physics 2015-02-03 F. Setiawan , Hoi-Yin Hui , J. P. Kestner , Xin Wang , S. Das Sarma

Semiconductor spin qubits demonstrated single-qubit gates with fidelities up to $99.9\%$ benchmarked in the single-qubit subspace. However, tomographic characterizations reveals non-negligible crosstalk errors in a larger space.…

Capacitively coupled semiconductor spin qubits hold promise as the building blocks of a scalable quantum computing architecture with long-range coupling between distant qubits. However, the two-qubit gate fidelities achieved in experiments…

Mesoscale and Nanoscale Physics · Physics 2015-10-29 Xin Wang , Edwin Barnes , S. Das Sarma

High-fidelity two-qubit gates in quantum computers are often hampered by fluctuating experimental parameters. The effects of time-varying parameter fluctuations lead to coherent noise on the qubits, which can be suppressed by designing…

Quantum Physics · Physics 2023-01-06 Mingyu Kang , Ye Wang , Chao Fang , Bichen Zhang , Omid Khosravani , Jungsang Kim , Kenneth R. Brown
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