Quantum-Error-Mitigation Circuit Groups for Noisy Quantum Metrology
- URL: http://arxiv.org/abs/2303.01820v2
- Date: Fri, 7 Apr 2023 01:50:03 GMT
- Title: Quantum-Error-Mitigation Circuit Groups for Noisy Quantum Metrology
- Authors: Yusuke Hama and Hirofumi Nishi
- Abstract summary: Quantum technologies work by utilizing properties inherent in quantum systems such as quantum coherence and quantum entanglement.
Quantum technologies are fragile against an interaction with an environment (decoherence) and in order to utilize them with high accuracy we need to develop error mitigation techniques.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum technologies work by utilizing properties inherent in quantum systems
such as quantum coherence and quantum entanglement and are expected to be
superior to classical counterparts for solving certain problems in science and
engineering. The quantum technologies are, however, fragile against an
interaction with an environment (decoherence) and in order to utilize them with
high accuracy we need to develop error mitigation techniques which reduce
decoherence effects. In this work, we analyze quantum error mitigation (QEM)
protocol for quantum metrology in the presence of quantum noise. We demonstrate
the effectiveness of our QEM protocol by analyzing three types of quantum
Fisher information (QFI), ideal (error-free) QFI, noisy (erroneous) QFI, and
quantum-error-mitigated QFI, and show both analytically and numerically that
the scaling behaviors of quantum-error-mitigated QFI with respect to the number
of probes become restored to the those exhibited in the ideal quantum
metrology. Our QEM protocol is constructed by an ensemble of quantum circuits,
namely QEM circuit groups, and has advantages such that it can be applied to
noisy quantum metrology for any type of initial state as well as any type of
the probe-system Hamiltonian, and it can be physically implemented in any type
of quantum device. Furthermore, the quantum-error-mitigated QFI become
approximately equal to the ideal QFI for almost any values of physical
quantities to be sensed. Our protocol enables us to use quantum entanglement as
a resource to perform high-sensitive quantum metrology even under the influence
of quantum noise.
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