Simple Pulses for Elimination of Leakage in Weakly Nonlinear Qubits

2009/01/31 by F. Motzoi, Felix Motzoi, J. M. Gambetta +5 · 4 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.supr-con #quant-ph

paper · pdf · doi:10.1103/physrevlett.103.110501

published as Phys. Rev. Lett. 103, 110501 (2009) · 4 pages, 4 figures

openalex publication_date 2009/09/08 · arxiv created 2009/10/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

In realizations of quantum computing, a two-level system (qubit) is often singled out from the many levels of an anharmonic oscillator. In these cases, simple qubit control fails on short time scales because of coupling to leakage levels. We provide an easy to implement analytic formula that inhibits this leakage from any single-control analog or pixelated pulse. It is based on adding a second control that is proportional to the time derivative of the first. For realistic parameters of superconducting qubits, this strategy reduces the error by an order of magnitude relative to the state of the art, all based on smooth and feasible pulse shapes. These results show that even weak anharmonicity is sufficient and in general not a limiting factor for implementing quantum gates.

Citations

• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• Charge-insensitive qubit design derived from the Cooper pair box
• Demonstration of conditional gate operation using superconducting charge qubits
• Coupling superconducting qubits via a cavity bus
• Randomized benchmarking and process tomography for gate errors in a solid-state qubit
• Fidelity of single qubit maps

Cited by

• Enhancing Microwave-Optical Bell Pairs Generation for Quantum Transduction Using Kerr Nonlinearity
• Controlled-not gate with weakly coupled qubits: Dependence of fidelity on the form of interaction
• Microwave-activated high-fidelity three-qubit gate scheme for fixed-frequency superconducting qubits
• Parameter optimization for the unimon qubit
• A high-fidelity two-qubit gate for multimode superconducting P-mon qubits