Quantum State Tomography with Measurement Device Independent Quantum Computing
Jincheng Zhang
Abstract
Quantum state tomography (QST) is a critical technique for characterizing the state of quantum systems, particularly in the context of quantum computing. Traditional QST protocols rely heavily on precise knowledge of the measurement devices used, introducing significant vulnerabilities to systematic errors and device imperfections. This paper proposes a novel measurement device-independent (MDI) quantum state tomography protocol designed specifically for multi-qubit systems. The core principle of this approach is the strategic utilization of entanglement to minimize the impact of device-specific biases, thereby achieving a more robust and accurate reconstruction of the quantum state. The protocol involves a carefully designed series of measurements performed by multiple, potentially imperfect, measurement devices. Through analyzing the correlations generated by these measurements, we can, with a high degree of certainty, deduce the underlying quantum state without requiring perfect knowledge of each individual device. This MDI QST method represents a significant advancement in overcoming the limitations of conventional QST, paving the way for more reliable and scalable quantum state characterization in complex quantum computing architectures. The theoretical framework and key equations are presented, demonstrating the feasibility and advantages of this approach.