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Detuning modulated universal composite gates

Hadar Greener, Elica S. Kyoseva, Haim Suchowski

Published Dec 8, 2020• 0 citations
OpenAlex

Abstract

Technologies which harness the laws of quantum mechanics in computational science are pushing toward exponential improvement of information processing tasks. This, as well as innovative functionalities in sensing and imaging, break the fundamental classical limits of computation and measurement. Yet, quantum computation and quantum information processing (QIP) rely on the accuracy of unitary gate operations. In all quantum systems, unitary gates are highly sensitive to deviations from the target control parameters due in part to fabrication errors and environmental changes. Thus, translating quantum information schemes from abstraction to realistic conditions requires robust designs to overcome inherent errors. Moreover, such gates must be universal, meaning that they are independent of the initial state of the qubit system. This adds to the complexity of implementing precise unitary gates that are required for scalable quantum computation. Herein, detuning-modulated composite pulses (DMCPs) are a promising method for achieving accurate and robust state transfer in any qubit hardware platform. We present a DMCP scheme to achieve such universal quantum gates well within the error threshold suitable for QIP. Universal DMCPs are a compelling mechanism for realizing unitary gates in quantum computers under error-prone experimental conditions. These pulses are robust to inaccuracies in pulse strength, duration, resonance offset errors, Stark shifts, etc. within the lifetime of the system.

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Technologies which harness the laws of quantum mechanics in computational science are pushing toward exponential improvement of information processing tasks. This, as well as innovative functionalities in sensing and imaging, break the fundamental classical limits of computation and measurement. Yet, quantum computation and quantum information processing (QIP) rely on the accuracy of unitary gate operations. In all quantum systems, unitary gates are highly sensitive to deviations from the target control parameters due in part to fabrication errors and environmental changes. Thus, translating quantum information schemes from abstraction to realistic conditions requires robust designs to overcome inherent errors. Moreover, such gates must be universal, meaning that they are independent of the initial state of the qubit system. This adds to the complexity of implementing precise unitary gates that are required for scalable quantum computation. Herein, detuning-modulated composite pulses (DMCPs) are a promising method for achieving accurate and robust state transfer in any qubit hardware platform. We present a DMCP scheme to achieve such universal quantum gates well within the error threshold suitable for QIP. Universal DMCPs are a compelling mechanism for realizing unitary gates in quantum computers under error-prone experimental conditions. These pulses are robust to inaccuracies in pulse strength, duration, resonance offset errors, Stark shifts, etc. within the lifetime of the system.
We present a general method to derive detuning-modualted composite pulses (DMCPs) as N rotations of a canonical two-state quantum system to create accurate and robust pulses that are independent of the initial state of the system. This scheme has minimal pulse overhead, and achieves pulses that are stable against amplitude errors well within the 10−410^{-4}10−4 threshold that may be suitable for quantum information processing (QIP), within the lifetime of the system. This family of pulses enables to overcome inevitable fabrication errors in silicon photonics, and relax the need for a precise initial state of light coupled into the system to achieve accurate light transfer. Furthermore, we extend universal DMCPs to n-level systems with irreducible SU(2) symmetry to create state transfer that is highly robust to errors in the pulse area from any initial state.
We introduce a control method for off-resonant robust quantum information processing suited for quantum integrated photonics. We utilize detunings as control parameters to derive a family of composite pulses for high-fidelity complete population transfer. The presented detuning-modulated composite sequences can be implemented within the decay lifetime of the qubit and correct for control inaccuracies in various parameters including pulse strength, duration, detuning, phase jitter, Stark shift, and unwanted frequency chirps. We implement the proposed robust sequences in an integrated photonics platform to achieve complete light transfer insensitive to fabrication errors.
We present a systematic method for constructing universal composite phase gates with a continuously tunable target phase. Using a general Cayley--Klein parametrization of the single-pulse propagator, we design gates from an even number of nominal πππ pulses and derive analytic phase families by canceling, order by order in a small deviation parameter, the leading contributions to the undesired off-diagonal element of the composite propagator, independently of the dynamical phase. The resulting sequences provide intrinsic robustness against generic control imperfections and parameter fluctuations and remain valid for arbitrary pulse shapes. Numerical simulations in a standard two-level model confirm high-order error suppression and demonstrate broad, flat high-fidelity plateaus over wide ranges of simultaneous pulse-area and detuning errors, highlighting the efficiency of the proposed universal composite phase gates for resilient phase control in quantum information processing.
Composite pulses, originally developed in nuclear magnetic resonance (NMR), have found widespread use in experimental quantum information processing (QIP) to reduce the effects of systematic errors. Most pulses used so far have simply been adapted from existing NMR designs, and while techniques have been developed for designing composite pulses with arbitrary precision, the results have been quite complicated and have found little application. Here, I describe techniques for designing short but effective composite pulses to implement robust not gates, bringing together existing insights from NMR and QIP, and present some composite pulses.
Abstract : This project aimed to address the most significant challenge facing the development of large-scale quantum computers: suppressing hardware error. Through this work we focused on the realization of a robust, high-fidelity Quantum Control Toolkit that is fully transportable between different quantum computing technology platforms. The techniques encapsulated herein were designed to provide qubit robustness to decoherence during memory (dynamical decoupling DD), and increase the fidelity of qubit operations undertaken in the presence of random environmental noise and control imperfections (dynamically corrected gates DCGs, and composite pulses CPs). This project has seen the demonstration of significant hardware-based improvements in quantum control fidelity along with the full experimental validation of an engineering-inspired filter-transfer function framework for quantum control.