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PreprintCC BY 4.0arXiv

Local Gaussian bounds on the non-destructive discrimination of two-mode squeezed states

Abstract

Typical measurement setups in quantum systems are destructive, meaning that states are irretrievably altered after measurement. In this work, we analyse non-destructive discrimination of two two-mode squeezed vacuum states using local Gaussian measurements. We investigate a tradeoff relation between the success probability of discrimination and the fidelity of the resulting state with the initial state, and construct a protocol given by local Gaussian measurements, which is optimal within our numerically explored class. We also extend to the case where we allow for additional pre-shared entanglement, and show that this regime allows us to exceed the standard local Gaussian bound for the fidelity-success probability tradeoff. Our work provides a natural extension of the tradeoff between information gain and disturbance in entangled-state discrimination, previously established for finite-dimensional quantum systems, to infinite-dimensional continuous-variable systems.

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BibTeX
@misc{so2026local,
  title = {{Local Gaussian bounds on the non-destructive discrimination of two-mode squeezed states}},
  author = {Mi-Jung So and James Moran and Youngrong Lim and Mahn-Soo Choi and Hyukjoon Kwon},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.01373},
  eprint = {2609.01373},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.01373},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Local Gaussian bounds on the non-destructive discrimination of two-mode squeezed states
AU  - Mi-Jung So
AU  - James Moran
AU  - Youngrong Lim
AU  - Mahn-Soo Choi
AU  - Hyukjoon Kwon
PY  - 2026
DA  - 2026/09/01
PB  - arXiv
DO  - 10.48550/arxiv.2609.01373
UR  - https://arxiv.org/abs/2609.01373
AB  - Typical measurement setups in quantum systems are destructive, meaning that states are irretrievably altered after measurement. In this work, we analyse non-destructive discrimination of two two-mode squeezed vacuum states using local Gaussian measurements. We investigate a tradeoff relation between the success probability of discrimination and the fidelity of the resulting state with the initial state, and construct a protocol given by local Gaussian measurements, which is optimal within our numerically explored class. We also extend to the case where we allow for additional pre-shared entanglement, and show that this regime allows us to exceed the standard local Gaussian bound for the fidelity-success probability tradeoff. Our work provides a natural extension of the tradeoff between information gain and disturbance in entangled-state discrimination, previously established for finite-dimensional quantum systems, to infinite-dimensional continuous-variable systems.
ER  -