研究目的
To demonstrate a scheme that achieves true Heisenberg limit (HL) phase measurement by combining entanglement, multiple samplings of the phase shift, and adaptive measurement.
研究成果
The experimental demonstration achieved a precision within 4% of the Heisenberg limit for N = 3 resources, validating the theoretical prediction that this method can achieve the ultimate measurement sensitivity. Future extensions to higher N and other physical systems are promising.
研究不足
The scheme's performance is currently limited by the non-unit fidelity of the prepared entangled state and the probabilistic nature of the operations, which only counts photons detected in successful coincidence events as resources.
1:Experimental Design and Method Selection:
The experiment used a combination of entanglement, multiple passes of the phase shift, and adaptive measurement to achieve phase measurement at the Heisenberg limit.
2:Sample Selection and Data Sources:
Two photonic qubits were used, with one double passed through the phase shift, resulting in N = 3 photon-passes for successful coincidence detection.
3:List of Experimental Equipment and Materials:
The setup included a non-deterministic CNOT gate, half-wave plates (HWPs), quarter-wave plates (QWPs), polarizing beam splitters (PBSs), and single photon counting modules (SPCMs).
4:Experimental Procedures and Operational Workflow:
The experiment involved preparing an entangled state, applying multiple phase shifts, and performing adaptive measurements to estimate the unknown phase.
5:Data Analysis Methods:
The precision of the phase estimation was characterized using the Holevo variance, comparing the experimental results to the theoretical Heisenberg limit.
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