Bulk interpretation of entanglement-based boundary time-reversal tests

Determine whether entangled probes can diagnose boundary time-reversal symmetry data with a bulk interpretation in a holographic or quantum-gravitational setting without resolving individual energy levels.

Background

The paper develops entanglement-assisted tests that convert dynamical time-reversal symmetry into measurable exchange symmetry of a bipartite Choi state. In discussing applications to quantum gravity and holography, it notes that antiunitary symmetries influence chaotic spectral statistics and that boundary time-reversal symmetry can correspond to unorientable bulk geometries.

The unresolved issue is whether the entangled-probe methodology can reveal boundary symmetry information in a way admitting a bulk interpretation, while avoiding the need to resolve individual energy levels. The authors emphasize that their finite-dimensional signatures do not by themselves establish such an interpretation.

References

A thermally weighted exchange test would raise questions about how its sensitivity depends on temperature and accessible correlations between the boundaries.

— Efficient certification of time-reversal symmetry requires entanglement  (2610.01555 - Liu et al., 1 Oct 2026) in Section Discussion

Could entangled probes diagnose boundary symmetry data with a bulk interpretation without resolving individual energy levels?

— Efficient certification of time-reversal symmetry requires entanglement  (2610.01555 - Liu et al., 1 Oct 2026) in Section Discussion