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Demonstration of \(\mathcal{P}\mathcal{T}\)-symmetric quantum state discrimination

  • Xiaowei Wang,
  • Gaoyan Zhu,
  • Lei Xiao,
  • Xiang Zhan,
  • Peng Xue

摘要

The fundamental quantum mechanical features forbid non-orthogonal quantum states to be distinguished accurately through a single-shot measurement. Using parity-time ( \(\mathcal{P}\mathcal{T}\) P T ) quantum mechanics, however, a perfect state discrimination with certainty can be implemented. Here, we experimentally implement quantum state discrimination for photonic single-qubit states by executing post-selected gates and loss-based non-unitary evolutions in the \(\mathcal{P}\mathcal{T}\) P T -symmetric system, providing a relatively superior strategy for state discrimination in non-Hermitian systems. We also unveil the origin of \(\mathcal{P}\mathcal{T}\) P T quantum state discrimination by embedding the \(\mathcal{P}\mathcal{T}\) P T dynamics into a higher-level system under unitary dynamics. This experimental work demonstrates the key principle of \(\mathcal{P}\mathcal{T}\) P T quantum state discrimination and opens a door of other effective approaches in the \(\mathcal{P}\mathcal{T}\) P T -symmetric quantum mechanics.