Adaptive Quantum Tomography in a Weak Measurement System with
Superconducting Circuits
- URL: http://arxiv.org/abs/2305.04579v1
- Date: Mon, 8 May 2023 09:43:03 GMT
- Title: Adaptive Quantum Tomography in a Weak Measurement System with
Superconducting Circuits
- Authors: Hyeok Hwang, JaeKyung Choi, and Eunseong Kim
- Abstract summary: We introduce a new optimal measurement basis to achieve fast adaptive quantum state tomography.
We expect that the adaptive quantum state tomography protocol can lead to a reduction in the number of required measurements of approximately 33.74%.
Experimentally, we find a 14.81% measurement number reduction in a superconducting circuit system.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: Adaptive tomography has been widely investigated to achieve faster state
tomography processing of quantum systems. Infidelity of the nearly pure states
in a quantum information process generally scales as O(1/sqrt(N) ), which
requires a large number of statistical ensembles in comparison to the
infidelity scaling of O(1/N) for mixed states. One previous report optimized
the measurement basis in a photonic qubit system, whose state tomography uses
projective measurements, to obtain an infidelity scaling of O(1/N). However,
this dramatic improvement cannot be applied to weak-value-based measurement
systems in which two quantum states cannot be distinguished with perfect
measurement fidelity. We introduce in this work a new optimal measurement basis
to achieve fast adaptive quantum state tomography and a minimum magnitude of
infidelity in a weak measurement system. We expect that the adaptive quantum
state tomography protocol can lead to a reduction in the number of required
measurements of approximately 33.74% via simulation without changing the
O(1/sqrt(N)) scaling. Experimentally, we find a 14.81% measurement number
reduction in a superconducting circuit system.
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