Multi-qubit State Tomography with Few Pauli Measurements
- URL: http://arxiv.org/abs/2305.19873v1
- Date: Wed, 31 May 2023 14:10:26 GMT
- Title: Multi-qubit State Tomography with Few Pauli Measurements
- Authors: Xudan Chai, Teng Ma, Qihao Guo, Zhangqi Yin, Hao Wu, Qing Zhao
- Abstract summary: A characterization tool, Quantum state tomography, reconstructs the density matrix of an unknown quantum state.
This is less practical owing to the huge burden of measurements and data processing for large numbers of qubits.
We build an efficient framework that requires fewer measurements but yields an expected accuracy.
- Score: 8.611891055029076
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In quantum information transformation and quantum computation, the most
critical issues are security and accuracy. These features, therefore, stimulate
research on quantum state characterization. A characterization tool, Quantum
state tomography, reconstructs the density matrix of an unknown quantum state.
Theoretically, reconstructing an unknown state using this method can be
arbitrarily accurate. However, this is less practical owing to the huge burden
of measurements and data processing for large numbers of qubits. Even
comprising an efficient estimator and a precise algorithm, an optimal
tomographic framework can also be overburdened owing to the exponential growth
of the measurements. Moreover, the consequential postprocessing of huge amounts
of data challenges the capacity of computers. Thus, it is crucial to build an
efficient framework that requires fewer measurements but yields an expected
accuracy. To this end, we built a tomography schema by which only a few Pauli
measurements enable an accurate tomographic reconstruction. Subsequently, this
schema was verified as efficient and accurate through numerical simulations on
the tomography of multi-qubit quantum states. Furthermore, this schema was
proven to be robust through numerical simulations on a noisy superconducting
qubit system. Therefore, the tomography schema paves an alternatively effective
way to reconstruct the density matrix of a quantum state owing to its
efficiency and accuracy, which are essential for quantum state tomography.
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