Shuanghong Tang - Academia.edu (original) (raw)
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Quantum measurements are indispensable in the quantum era as they are the bridge that connects th... more Quantum measurements are indispensable in the quantum era as they are the bridge that connects the microscopic world of quantum phenomena and the macroscopic world of observable events. However, they are subject to measurement errors due to hardware imperfections in near-term quantum devices. It is thus crucial to mitigate such errors to amplify the power of quantum devices. Commonly, measurement errors are manipulated via classical post-processing under the classical noise model assumption. Whereas quantum measurements inevitably suffer from quantum noise due to their coherent nature, which cannot be classically mitigated. In this work, we propose a two-stage procedure to systematically address quantum noise inherent in quantum measurements. The idea behind it is intuitive: we first detect and then eliminate quantum noise so that the assumption is satisfied and classical post-processing works. In the first stage, inspired by coherence witness in the resource theory of quantum coherence, we design an efficient method to detect quantum noise. It works by fitting the difference between two measurement statistics to the Fourier series, where the statistics are obtained using maximally coherent states with relative phase and maximally mixed states as inputs. The fitting coefficients quantitatively benchmark quantum noise. In the second stage, we design various methods to eliminate quantum noise, inspired by the Pauli twirling technique. They work by executing randomly sampled Pauli gates before the measurement device and conditionally flipping the measurement outcomes in such a way that the effective measurement device contains only classical noise. We demonstrate the feasibility of the two-stage procedure numerically on Baidu Quantum Platform. Remarkably, the results show that quantum noise in measurement devices is significantly suppressed, and the quantum computation accuracy is substantially improved. We highlight that the two-stage procedure complements existing measurement error mitigation techniques, and they together form a standard toolbox for manipulating measurement errors in near-term quantum devices.
Quantum measurements are indispensable in the quantum era as they are the bridge that connects th... more Quantum measurements are indispensable in the quantum era as they are the bridge that connects the microscopic world of quantum phenomena and the macroscopic world of observable events. However, they are subject to measurement errors due to hardware imperfections in near-term quantum devices. It is thus crucial to mitigate such errors to amplify the power of quantum devices. Commonly, measurement errors are manipulated via classical post-processing under the classical noise model assumption. Whereas quantum measurements inevitably suffer from quantum noise due to their coherent nature, which cannot be classically mitigated. In this work, we propose a two-stage procedure to systematically address quantum noise inherent in quantum measurements. The idea behind it is intuitive: we first detect and then eliminate quantum noise so that the assumption is satisfied and classical post-processing works. In the first stage, inspired by coherence witness in the resource theory of quantum coherence, we design an efficient method to detect quantum noise. It works by fitting the difference between two measurement statistics to the Fourier series, where the statistics are obtained using maximally coherent states with relative phase and maximally mixed states as inputs. The fitting coefficients quantitatively benchmark quantum noise. In the second stage, we design various methods to eliminate quantum noise, inspired by the Pauli twirling technique. They work by executing randomly sampled Pauli gates before the measurement device and conditionally flipping the measurement outcomes in such a way that the effective measurement device contains only classical noise. We demonstrate the feasibility of the two-stage procedure numerically on Baidu Quantum Platform. Remarkably, the results show that quantum noise in measurement devices is significantly suppressed, and the quantum computation accuracy is substantially improved. We highlight that the two-stage procedure complements existing measurement error mitigation techniques, and they together form a standard toolbox for manipulating measurement errors in near-term quantum devices.
Quantum measurements are indispensable in the quantum era as they are the bridge that connects th... more Quantum measurements are indispensable in the quantum era as they are the bridge that connects the microscopic world of quantum phenomena and the macroscopic world of observable events. However, they are subject to measurement errors due to hardware imperfections in near-term quantum devices. It is thus crucial to mitigate such errors to amplify the power of quantum devices. Commonly, measurement errors are manipulated via classical post-processing under the classical noise model assumption. Whereas quantum measurements inevitably suffer from quantum noise due to their coherent nature, which cannot be classically mitigated. In this work, we propose a two-stage procedure to systematically address quantum noise inherent in quantum measurements. The idea behind it is intuitive: we first detect and then eliminate quantum noise so that the assumption is satisfied and classical post-processing works. In the first stage, inspired by coherence witness in the resource theory of quantum coherence, we design an efficient method to detect quantum noise. It works by fitting the difference between two measurement statistics to the Fourier series, where the statistics are obtained using maximally coherent states with relative phase and maximally mixed states as inputs. The fitting coefficients quantitatively benchmark quantum noise. In the second stage, we design various methods to eliminate quantum noise, inspired by the Pauli twirling technique. They work by executing randomly sampled Pauli gates before the measurement device and conditionally flipping the measurement outcomes in such a way that the effective measurement device contains only classical noise. We demonstrate the feasibility of the two-stage procedure numerically on Baidu Quantum Platform. Remarkably, the results show that quantum noise in measurement devices is significantly suppressed, and the quantum computation accuracy is substantially improved. We highlight that the two-stage procedure complements existing measurement error mitigation techniques, and they together form a standard toolbox for manipulating measurement errors in near-term quantum devices.
Quantum measurements are indispensable in the quantum era as they are the bridge that connects th... more Quantum measurements are indispensable in the quantum era as they are the bridge that connects the microscopic world of quantum phenomena and the macroscopic world of observable events. However, they are subject to measurement errors due to hardware imperfections in near-term quantum devices. It is thus crucial to mitigate such errors to amplify the power of quantum devices. Commonly, measurement errors are manipulated via classical post-processing under the classical noise model assumption. Whereas quantum measurements inevitably suffer from quantum noise due to their coherent nature, which cannot be classically mitigated. In this work, we propose a two-stage procedure to systematically address quantum noise inherent in quantum measurements. The idea behind it is intuitive: we first detect and then eliminate quantum noise so that the assumption is satisfied and classical post-processing works. In the first stage, inspired by coherence witness in the resource theory of quantum coherence, we design an efficient method to detect quantum noise. It works by fitting the difference between two measurement statistics to the Fourier series, where the statistics are obtained using maximally coherent states with relative phase and maximally mixed states as inputs. The fitting coefficients quantitatively benchmark quantum noise. In the second stage, we design various methods to eliminate quantum noise, inspired by the Pauli twirling technique. They work by executing randomly sampled Pauli gates before the measurement device and conditionally flipping the measurement outcomes in such a way that the effective measurement device contains only classical noise. We demonstrate the feasibility of the two-stage procedure numerically on Baidu Quantum Platform. Remarkably, the results show that quantum noise in measurement devices is significantly suppressed, and the quantum computation accuracy is substantially improved. We highlight that the two-stage procedure complements existing measurement error mitigation techniques, and they together form a standard toolbox for manipulating measurement errors in near-term quantum devices.